Which could be the first step of an indirect proof of the conditional below?
If x2 = 25, then 5’2= 25 and x = 5,
A. Assume x=5 is true.
B. Assume 52 = 25 is true,
C. Assume x2 + 25 is true.
D. Assume 52.25 and x + 5 are true,

Answers

Answer 1

Answer

Option D

Step-by-step explanation

For further help (727) 335-8234

Answer 2

The first step of indirect proof of the conditional below

If x2 = 25, then 5’2= 25 and x = 5 is assume 5² = 25.

Option B is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Conditions:

x² = 25 then 5² = 25 and x = 5

If we have to prove the above conditions indirectly, we have to prove that x² = 25 using the conditions 5² = 25 and x = 5.

So,

We have to assume,

Step 1:

5² = 25

Step 2:

x = 5

Step 3:

x² = 25

Thus,

The first step of indirect proof of the conditional below

If x2 = 25, then 5’2= 25 and x = 5 is assume 5² = 25.

Option B is the correct answer.

Learn more about equations here:

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Related Questions

Find the quotient.
(Idk what it means I’m kinda confused)

Answers

Answer:

1 1/3

Step-by-step explanation:

-4/9 ÷ -1/3

Copy dot flip

-4/9 * -3/1

Rewriting

-4/1 * -3/9

simplify

-4/1 * -1/3

Multiply

4/3

Change to a mixed number

1 1/3

Answer:

So the quotient is when you divide so it would be the last one 1 and 1/3

Step-by-step explanation:

-4/9x3/-1(flip the reciprocal)

-12/-9

remove both negatives

simplify and divide both by three and you should get 4/3 which is 1 1/3

Convert to a decimal rounded to the nearest hundredth: 8/11

Answers

Answer:

.72 and on going

Step-by-step explanation:

the meal cost 54.65 the sales tax is 8% of the meal the tip was 18% of the meal and tax there are 5 people in the holcombe family what was the cost per person for the meal

Answers

Answer:

Step-by-step explanation:

total meal cost = meal cost + tax cost + tip cost

[tex]\frac{8}{100} *54.65 = cost of sales tax\\\frac{18}{100} * 54.65 = tip cost\\cost of sales tax = .08 * 54.65 = 4.372\\tip cost = .18 * 54.65 = 9.837\\\\total cost = 54.65 + 4.372 + 9.837 = 68.859\\\\since we have 5 members\\\\individual cost = total cost / 5\\=68.859/5\\=13.7718[/tex]

The answer is 10.93

Step by step explanation

CMONNN I NEEDDDDD HELP !!!!

Answers

Answer:

My answer will be 3.

Step-by-step explanation:

It takes 1.5 gallons of paint to cover the walls in 3 rooms. Write an equation relating the number of rooms r to the number of gallons g. How many rooms can be painted using 9 gallons of paint?

Answers

Answer:

18 rooms.

Step-by-step explanation:

Because it takes 1.5 gallons of paint to cover the walls in 3 rooms, if we divide on 3 on each side, we will get 0.5 gallons of paint per room.

The equation is r = 0.5g.

If we apply this formula, and multiply both sides by 18, we will get 18r = 9g.

The answer is 18 rooms.

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He creates paths through the garden along A3, XY, and ZY. Which correctly compares the lengths of the paths? The path along XY is longer than the path along ZY. and the path along ZY is longer than the path along AB. O The path along AB is longer than the path along ZY, and the path along ZY is longer than the path along XY. The path along ZY is longer than the path along XY. and the path along XY is longer than the path along AB The path along ZY is longer than the path along AB and the path along AB is longer than the path along XY​

Answers

Answer:

A

Step-by-step explanation:

The path along XY is longer than the path along ZY. and the path along ZY is longer than the path along AB.

What is trigonometry?

Trigonometry is a branch of mathematics concerned with the relationships between the sides and angles of triangles, as well as the calculations that are based on them.

It's widely used in fields like physics, engineering, and navigation. The sine, cosine, and tangent functions are the three primary trigonometric functions that relate the ratios of a right triangle's sides to its angles.

Now, the two sides making an angle Ф in a triangle will be having the fixed lengths then the length of the third side is proportional to the angle Ф.

Since the opposite angle of XY(79°) is larger than that of YZ(65°), so XY > YZ.

Again the opposite angle of YZ(65°) is larger than that of AB(36°), so YZ > AB.

Since the sides containing those angle are same and they are 8 ft

Therefore, statement A. is correct.

For more details regarding trigonometry, visit:

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Your question seems incomplete, the probable complete question is:

He creates paths through the garden along A3, XY, and ZY. Which correctly compares the lengths of the paths? The path along XY is longer than the path along ZY. and the path along ZY is longer than the path along AB. O The path along AB is longer than the path along ZY, and the path along ZY is longer than the path along XY. The path along ZY is longer than the path along XY. and the path along XY is longer than the path along AB The path along ZY is longer than the path along AB and the path along AB is longer than the path along XY​


A groundskeeper needs grass seed to cover a circular field. 150 feet in diameter. A store sells 50-pound bags of grass seed. One pound of grass
seed covers about 60 square feet of field. What is the smallest number of bags the groundskeeper must buy to cover the circular field?

Answers

Answer:

6 bags

Step-by-step explanation:

Area of the field

A = πr²= πd²/4A = 3.14*150²/4 ≈ 17662 ft²

Number of pounds

17662/60 = 294 pounds

Number of bags required

294/50 = 5.88 ≈ 6 bags

Answer:

6

Step-by-step explanation:

The sum of two consecutive integers is no more than 17. What is the largest possible value for the greater integer?
a. 7 b. 10
C. 9 d. 6

Answers

The answer is C, 9. Explanation: the numbers need to be consecutive, meaning they’re next to each other in integer order (the order which goes 1, 2, 3, 4, 5... and so on). Try adding two consecutive numbers from the options you were provided, and the only ones that can equal 17 are 9 added to 8. 8 + 9 = 17. The largest of these two numbers is 9, so the answer is C.

A jewelry artist is selling necklaces at an art fair. It costs $200 to rent a booth at the fair. The cost of materials for each necklace is $4.50. The artist is selling the necklaces at $20 each. The jewelry artist wants to make at least a profit of $300. Write an inequality that represents the situation. Make sure to write down the given information from the problem and represent your variables. Show all of your work. B). Find a possible solution for the inequality. Show all of your work and check your answer to make sure that it makes the inequality true.

Answers

Answer:

32.25 necklaces

Step-by-step explanation:

Given that the expected profit upon deduction of booth rent and material cost is at least $300

Given

let the number of necklaces be x

booth rent= $200

The cost of materials for the necklaces = $4.5x

the selling price for all the necklaces =$20x

total expenses= booth rent+cost of material = 200+4.5x

profit = selling price -total expenses

20x-300>200+4.5x+

B. the possible solution is the value of x i.e the number of necklaces to

be sold to make a profit of $300

20x-300>200+4.5x

20x-4.5x=200+300

15.5x=500

x=500/15.5

x=32.25

The Jewelry artist must have to sell a total of approximately 32.25 necklaces

please answer these honestly and take as much time as you need. ty.

Answers

Answer:

1) 17/20 2)24 and  1/2 3)terminating 4) 0.8 5)1.8

Step-by-step explanation:

4) 4/5 times both sides by 2 then you get 8/10= 0.8

Answer:

first is 17/20, second is 24 1/2 , third is a terminating decimal, fourth is 0.8, and the fifth is 8.1.

Step-by-step explanation:

hope this helps :)

Write the equation of a line with the slope -3 and y-intercept of 5
O y = 5x + 3
O y = -5x + 3
O y = 5x - 3
O y = -3x + 5

Answers

Answer:

[tex]\fbox{y = -3x + 5}[/tex]

Step-by-step explanation:

You are given the slope and the y-intercept of the line; so you can substitute these values into slope-intercept form: [tex]y=mx+b[/tex];

where [tex]m= \ $slope = -3[/tex]and [tex]y-$int = 5[/tex]

Plugging these values into slope-intercept form gives:

[tex]y=(-3)x+(5)[/tex][tex]y=-3x+5[/tex]Another way to find the slope-intercept form of a line given the slope and a point:

We are given the slope and a point that the line passes through, so we can use the point-slope equation to find the slope-intercept form of the line.

The point that the line passes through is the y-intercept: [tex](0,5)[/tex].

Point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

where [tex](x_1, \ y_1)[/tex] are the coordinates of the point that the line passes through and [tex]m= $ slope of the line.[/tex]

Substitute [tex]m=-3[/tex] and [tex](0,5)[/tex] into the point-slope form equation.

[tex]y-(5)=-3(x-(0))[/tex]

Simplify the equation on both sides.

[tex]y-5=-3(x)[/tex]

Add 5 to both sides of the equation.

[tex]y=-3x+5[/tex]

This is in slope-intercept form: [tex]y=mx+b[/tex], so we are done.

The answer is [tex]D) \ $y = -3x+5[/tex].

Darrius bought 3 gallons of ice cream for $9.50 how much will it cost him if he wants 7 gallons?

Answers

Answer:

Its going to cost him 22.167

Step-by-step explanation:

Divide $9.50 by 3 = 3.167

multiply it by 7= 22.167

Rachel's backyard pool is being emptied by a pump. The amount of water (W) in the pool in gallons, at any time (t) in hours is given by
the following equation:
W= 1800-300
How many gallons of water are being pumped out each hour? Just fill in the number.

Answers

Answer:

If you are saying that 300 gallons of water are being pumped out each hour then it will take 6 hours to pump out all of the water.

Step-by-step explanation:

To find that answer all I did was divide 1800 by 300. I don't know if that is the answer your looking for but I tryed sorry.

-2(x -3) what number should be distributed

Answers

Answer:

-2

Step-by-step explanation:

-2 needs to be distributed to the rest of the equation so that gives you -2x+6

-2

-2 is on the outside of the parentheses, meaning it should be distributed to everything inside the parentheses

so, -2(x-3) is actually (-2x) + (-2 *-3)

Find the distance from P(6,-9) to the origin.
Please helppp

Answers

Answer:

10 units

Step-by-step explanation:

Distance from P(6, -9) to O ( 0, 0 ) PO

Let

X1 = 6          X2 = 0

Y1 = -9         Y2 = 0

Formula of Distance

[tex]\sqrt{(x2 - x 1) + (y2 - y1)}[/tex]

[tex]\sqrt{6^{2} +(-9^{2}) }[/tex]

[tex]\sqrt{100}[/tex]

10 units

Simplify 5(1 + 3)^2.

Answers

Answer:

400

Step-by-step explanation:

5(1+3) to the power of 2

5×1=5 5×3=15

(5+15) to the power of 2

5+15=20

20 to the power of 2 = 400

Find two consecutive integers whose sum is eleven less than three times the smaller integer.

Answers

Answer:

If you call the smaller integer "x" and the greater integer "y", then:

x+y=3x-11             The sum of the two is 11 less than 3 times the smaller

y=x+1                    Because they are consecutive, the greater must be 1 more than the smaller

Then you can solve for x:

x+(x+1)=3x-11       Substitute x+1 for y

2x+1=3x-11            Combine like terms

2x+12=3x               Add 11 to both sides

12=x                      Subtract 2x from both sides

The smaller integer is 12, thus the greater integer is 1 more or 13.

Check:

12+13=3(12)-11

25=36-11

25=25                       Yes, so the integers are 12 and 13

Step-by-step explanation:

thats pretty much it

The graph of y = 4 – StartRoot 2 x EndRoot is shown.

On a coordinate plane, a curved line approaches the grid line at (3, 1.5) and ends at (0, 4).

Which statement about the graph is accurate?

The x-intercept of the graph is (4, 0).
The graph has no y-intercepts.
The maximum of the graph occurs at the y-intercept.
The minimum of the graph occurs at the x-intercept.

Answers

Answer:

c

Step-by-step explanation:

its the only answer that makes sense

Answer:

C

Step-by-step explanation:

it makes complete 100% sense

A person is shopping for cereal, oranges, and eggs at a grocery store. Which of the following is an INPUT in this scenario?

The number of cereal boxes purchased
The cost per pound of oranges
The amount paid for eggs

Answers

Answer:

i got this on edg its b

Step-by-step explanation:

Kelly gets a Sonic drink everyday. If she uses her app she gets the drinks for 1/2
off the price of the drinks. If the drinks are normally $1.88 which equation could
be used to find y (the cost) of x (number of drinks) she purchases if she uses her
app?

Answers

Answer:

6.58

Step-by-step explanation:

divide 1.88 by 2 to get .94 because he gets her drinks half off. Next, multiply by 7 because there are seven days in a week. she will spend 6.58 a week on drinks.

Answer:

1.88/2  0.94x7 for one week Kelly will pay $6.58 for a sonic drink

the answer is B

Step-by-step explanation:

1.88/2= 0.94

0.94x7=6.58

for one week Kelly will pay $6.58 for a sonic drink

hope this helps:) have a good day :)

√294
A. 7√6
B. 8√3
Which one?

Answers

Answer:

√294 = A. 7√6

Explanation:

Factor  49  out of  294 . √

49 ( 6 ) Rewrite  

49  as  7 ² . √ 7 ² ⋅ 6

Pull terms out from under the radical.

7 √ 6

If you answer someone's question=1 brainliest

Answers

Answer:I'mconfused

Step-by-step explanation:

The graph represents one side of the roof of a building. ​

Answers

Answer:the answers are: 0,1 and 2,7 and 4, 14

Step-by-step explanation:

Switch them if not in the right order, one of them is 2,7 because one of the dots are in between 6 and 8

at Als pizza they have the expo pizza, which is a 24- inch cheese pizza that costs 17.50. Each topping for the pizza costs 2.35. you order a pizza and get charged 29.25

How many toppings were on the pizza?
A. 6
B. 10
C. 3
D. 5​

Answers

Answer:

D

Step-by-step explanation:

The first step is to subtract 29.25 from 17.50

You get 11.75

Then divide 11.75 to 2.35

You get 5.

The reason you do these steps is because,

since you paid 17.50 for the pizza the rest is toppings so...

so you subtract from the total to see how much the toppings were worth in total...

you divide 2.35 from that to show how many toppings there would be

Answer:

D. 5

Step-by-step explanation:

Find the difference between the initial cost (17.50) and the final cost (29.25) by subtracting.

You should get $11.75 which represents how much he paid for toppings. It gives the value of each topping at $2.35 so now our last step is to divide $11.75 by $2.35. The answer is a perfect 5.

Comment if you need more help :)

A triangle on the coordinate plane has points located at a (2,5), b (5,9), and c (8,5). What is the area of the triangle. 

Answers

Answer:

The area of the triangle is 12 unit²

Step-by-step explanation:

The vertices of the triangle are;

a(2, 5), b(5, 9), and c(8, 5)

The area of a triangle given coordinates can be given by the following determinant;

[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix} = \dfrac{1}{2} \left | x_{1}\cdot y_{2} - x_{2}\cdot y_{1} + x_{2}\cdot y_{3} - x_{3}\cdot y_{2} + x_{3}\cdot y_{1} - x_{1}\cdot y_{3}\right |[/tex]

Therefore, we have;

[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}2 & 5 & 1\\ 5 & 9 & 1\\ 8 & 5 & 1\end{vmatrix} = \dfrac{1}{2} \left | 2\times 9 - 5\times 5 + 5\times 5 - 8\times 9 + 8\times 5 - 2\times 5 \right |[/tex]

Utilizing an online determinant calculator, we have;

[tex]\dfrac{1}{2} \times \left | -12 \right |= 12[/tex]

Therefore, the area of the triangle is 12 unit².

Algebra 2 Math question Grade 11

Can anyone please help me with this question? Soon as possible!


In a linear equation of the form y = mx + b, as b increases, what happens to the line?

Which of these choices is the correct answer?


The line moves up.

The line gets steeper.

The line moves down.

The line moves to the right

None of these describes how the line changes.

Answers

Answer: A) The line moves up

The b determines the y intercept

For example, y = 2x+5 has a y intercept of 5

Another example, y = 2x+6 has y intercept 6

The value of b has gone up by 1, so the graph shifts up by 1.

See the diagram below.

The slope stays the same, so both lines are parallel.

(Will Give Brainliest if Correct)
Write an algebraic expression for the statement.
The cost of m pounds of meat when the cost per pound is $3.54

Answers

Answer:

y=3.54m

Step-by-step explanation:

i already answered it

At what
interest rate
would Dalton have
to have to invest $3,600
to double his money in 10 years?

Answers

Answer: I think beetlejuice post the answer here look up jewtube

How many 1-foot-square border tiles do you need to surround a pool that is 10 feet long and 5 feet wide

Answers

The answer is 8 hope this helps(don’t trust me)

A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49. A batch of muffins uses 1 2 cup of sugar. How many whole batches can you make if you use as much of the sugar as possible? What is the cost of sugar for each batch? (1 cup = 48 teaspoons; do not consider leftover sugar in the cost calculation.) You can make a total of batches at $ per batch.

Answers

Answer:

a) 9 whole batches can be made

b) The cost of sugar for each batch = $0.26

Step-by-step explanation:

A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49.

This means:

2 pound bag of sugar = 227 teaspoon servings

2 pounds bag of sugar cost $2.49

We are told that:

A batch of muffins uses 1/2 cup of sugar.

a).How many whole batches can you make if you use as much of the sugar as possible?

(1 cup = 48 teaspoons)

Hence, A batch of muffins = 1/2 cups of sugar = 48 teaspoons of sugar ÷ 2

= 24 teaspoons of sugar

Hence:

24 teaspoons of sugar = 1 batch of muffins

227 teaspoons of sugar = x

Cross Multiply

24 × x = 1 × 227

x = 227/24

x = 9.4583333333 batches of muffins

We are asked to name the number of whole batches that can be made.

Therefore, 9 whole batches of muffins can be made

b) What is the cost of sugar for each batch? (do not consider leftover sugar in the cost calculation.) You can make a total of batches at $ per batch.

Since we are not to consider the leftover sugar in the cost calculation,

1 batch = 24 teaspoons of sugar

9 whole batches =

9 × 24 teaspoons = 216 teaspoons of sugar was used

The left over = 227 - 216 = 11 teaspoons of sugar is left

We know that:

227 teaspoons of sugar = $2.49

216 teaspoons of sugar = x

Cross Multiply

= 216 × $2.49/227

= $2.369339207

24 teaspoons of sugar = 1 batch of muffins

Therefore,

216 teaspoons of sugar =

$2.369339207

24 teaspoons of sugar =

24 × $2.369339207/ 216

= $0.2632599119

Approximately = $0.26

Therefore, the cost of sugar for each batch = $0.26

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