Answer:
equation of the line: 2x - y = 1
Step-by-step explanation:
Given coordinates: (2, 3) and (3,5)
find slope of the equation:
[tex]\frac{y2-y1}{x2-x1}[/tex]using the formula:
→ [tex]\frac{5-3}{3-2}[/tex]
→ [tex]2\\[/tex] .............this is slope, also refereed as (m) in short form.
using the equation formula:
y - y1 = m ( x - x1 )using the formula:
→ y - 3 = 2 ( x - 2 )
→ y - 3 = 2x - 4
→ y = 2x -4 +3
→ y = 2x - 1
→ -2x + y = -1
→ (-2x + y)/-1 = -1 /-1 [ divide both sides by -1 ]
→ 2x - y = 1 .......final answer in standard form where ( Ax + By = C ) where "A" should be positive and "C" constant on the right hand side.
The figure below shows three quadrilaterals on a coordinate grid: A coordinate plane is shown with three quadrilaterals. Figure M has four sides that measure 2 units each. Figure N has four sides that measure 2 units each. Figure O has four sides that measure 4 units each. Which of the following statements is true about the three quadrilaterals? (4 points) a M and O are similar and congruent. b O and N are similar and congruent. c M and N are similar but not congruent. d M and O are similar but not congruent.
Answer:
D. M and O are similar but not congruent
Step-by-step explanation:
As you can see, M and O are similar because they both have four sides and equal length for each of the side meaning that they are both squares.
At the same time, M and O are do not have the same dimensions meaning they are not congruent
Write an equation in Point-Slope Form for the given information.
m=4/5;(2,0)
Answer:
y-0 = 4/5(x-2)
Explanation:
0 is the y point so it goes in the y-y1 spot. The m or the slope goes into the m spot by the parenthesis. The 2 goes into the spot of the m-m1. One thing that is important is that when plugging in the point into the equation is to always put in the inverse. So if 3 was the y point, the equation would be y-3, if it was a negative point it would be, y + 3.
Calculate:
f(4) - (g(2) + f(3)) =
h(1) + f(1) x g(3) =
Answer:
1) f-2g
2) h+3fg
Step-by-step explanation:
1)
f(4) - g(2) + f(3))4f - 2g + 3f4f - 3f - 2gf - 2g2)
h(1) + f(1) x g(3)h + f x 3gh + 3fg#1.
[tex]f(4) - g(2) + f(3))[/tex]
[tex]4f-2g + 3f[/tex]
[tex]4f - 3f - 2g[/tex]
[tex]f-2g[/tex]
#2.
[tex]h(1) + f(1) x g(3)[/tex]
[tex]h+fx 3g[/tex]
[tex]h + 3fg[/tex]
Which values from set 1,2,3,4,5 make the inequality true n + 2 < 6
Answer:
1, 2, and 3
Step-by-step explanation:
You can simplify n+2<6 by subtracting 2 from both sides to get n<4. Now you just select all options less than 4 which include 1, 2, and 3. The reason 4 is not a solution is because it is equal to, but not less than, 4. Sense 5 is greater than 4 it is not a correct answer either.
A soccer team made $575.75 from selling popcorn at a concession stand during a tournament. The popcorn cost the team $65.00. What is the amount of money earned for each player if the profit is divided equally among the 15 players?
a. $34.05.
b. $42.72.
c. $57.661.25.
d. $59.611.25.
Answer:
I think b it's the only one that makes sense to me
( 575.75 - 65 ) / 15 = amount each player gets
575.75 - 65 = 510.75
510.75 / 15 = $34.05 given to each player
your answer choice should be A
Can someone please help me
Step-by-step explanation:
it is a simple addition and subtraction sequence :
10 + 0 + -21 + 14 = 3
since the result is positive, it is overall a gain.
if the result were negative, it would be an overall loss.
so, he had an overall gain of 3 yards.
Vigorous exercise helps people live several years longer (on average). Whether mild activities like slow walking extend life is not clear. Suppose that the added life expectancy from regular slow walking is just 2 months. A statistical test is more likely to find a significant increase in mean life expectancy if:_______.
A. respondents tell the truth about exercising.
B. the size of the sample doesn't have any effect on the significance of the test.
C. 95% confidence is high enough.
D. it is based on a very large random sample.
E. it is based on a very small random sample.
Hint:Think about the importance of the sample size.
Using the concept of margin of error, it is found that higher samples lead to more precise results, hence the correct option is:
D. it is based on a very large random sample.
What is the margin of error of a confidence interval?The margin of error of a confidence interval is given by:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which:
z is the critical valuer related to the confidence value, the higher the confidence level the higher z.s is the standard deviation.n is the sample size.In this problem the increase in life expectancy regarding regular slow walking should be considerably greater than 2 months, which means that the a larger sample is needed to give a more precise result, hence option D is correct.
You can learn more about margin of error at https://brainly.com/question/25821952
Which description below the equation
X/4=55
x/4 = 55
=> x = 55 × 4
=> x = 220
Answer:
x = 220
Step-by-step explanation:
220 divided by 4 = 55
or
55 x 4 = 220
...
TL
A triangle has sides with lengths of 8 feet, 15 feet, and 17 feet. Is it a right triangle?
Answer:
Step-by-step explanation:
To test if this is a right triangle, let's test these side lengths with the Pythagorean Theorem.
a^2 + b^2 = c^2
c is the hypotenuse, the longest side of a right triangle.
a and b are the legs of the right triangle.
a = 7
b = 15
c = 17
7^2 + 15^2 = 17^2 ?
49 + 225 = 289 ?
274 ≠ 289
Thus, this triangle is not a right triangle since it does not satisfy the Pythagorean Theorem.
have a good day :)
I need help with this
Answer:
x = 27
Step-by-step explanation:
this problem is similar to a scale drawing where we can set up a proportion:
'x' is to 5 as 162 is to 30
x/5 = 162/30
cross-multiply:
30x = 810
x = 810/30
x = 27
Answer:
x=27
Step-by-step explanation:
Which expression is equivalent to 1+2(x - 1)?
A:3x - 3
B: 3x - 1
C:2x - 1
D:2x
Answer:
D:2x
Step-by-step explanation:
acc, to BOADMAS rule we have to first multiple then add
so , 1+2(x-1)
=> 1+2x-1
=> 2x
HELP ! ! HOW can I Solve these both Math Questions I am so confused Help!
Answer number 1.:
x=
31
−6≈−0.432235637
x=−
31
−6≈−11.567764363
answer number 2.:
Factor:
3 (x-(6 - 2 10
Evaluate:
3 ( x2 - 12x -- 4)
the link don't work just tell me the answer
Answer:
6/8 = 12/18
Step-by-step explanation:
hope this helps :D
What expression is equivalent to (4x–5) (2x-3)?
Answer:
8x^2-22x+15
Step-by-step explanation:
Multiply them together
Answer:
There are many, many, different expressions equivalent, but if you distribute them together you come up with:
8x² - 22x + 15
Step-by-step explanation:
When distributing (4x–5) (2x-3) we should end up with four values, and then add them together.
[] The outside numbers of 4x and -3
-> 4x * -3 = -12x
[] The inside numbers of -5 and 2x
-> -5 * 2x = -10x
[] The left numbers of 4x and 2x
-> 4x * 2x = 8x²
[] The right numbers of -5 and -3
-> -5 * -3 = 15
Now we can add them together;
-12x + -10x + 8x² + 15
8x² - 22x + 15
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
If anyone minds, can someone answer this and show your work pls.
Answer:
x=2 y=16 so (2,16)
Step-by-step explanation:
y=10x-4 --> 8x=10x-4
-10x -10x
-2x=-4
-2/-2x -4/-2
x=2
y=10x-4 --> y=10(2)-4
y=20-4
y=16
Answer:
2 ; 16
Step-by-step explanation:
y = 8x _
y = 10x - 4
___________
0=2x-4
4=2x
x=2
=> y=8*2=16
HELP …………………………………….
Answer:
4 4/15
I put it all in the pic. I am bad at formatting. Sorry. Hope this helps.
:D
At a certain restaurant, 5 sandwiches and 7 burritos will cost $57.40. In addition, 4 sandwiches and
2 burritos cost $32.60. Assuming that we are talking about the same sandwiches and burritos, what
is the cost of 1 sandwich? What is the cost of 1 burrito? Let x represent the cost of a sandwich
and y represent the cost of a burrito. Show ALL work!
Equation #1:
Equation #2:
Cost of 1 sandwich:
Cost of 1 burrito:
Answer:
sandwich: $6.30burrito: $3.70Step-by-step explanation:
The two relations can be written in general form using the given variable definitions as ...
5x +7y -57.40 = 0
4x +2y -32.60 = 0
The solution using the cross-multiplication method is ...
d1 = (5)(2) -(4)(7) = 10 -28 = -18
d2 = (7)(-32.60) -(2)(-57.40) = -228.20 +114.80 = -113.40
d3 = (-57.40)(4) -(-32.60)(5) = -229.60 +163 = -66.60
x = d2/d1 = -113.40/-18 = 6.30
y = d3/d1 = -66.60/-18 = 3.70
The cost of 1 sandwich is $6.30.
The cost of 1 burrito is $3.70.
_____
For more about the cross-multiplication method of solving systems of equations, see ...
https://brainly.com/question/26397343
How many zeros are in the product of 5 x 10³?
Answer:
3
......,..............
Answer:
There are 3 zeros.
Step-by-step explanation:
5 x 10³ = 5000
Help, Name the point
Answer:
What are you talking about
Step-by-step explanation:
Answer:
Point
Step-by-step explanation:
its kinda in the name
Only number 5 please help
A charity organization had a fundraiser where they sold each ticket for a fixed price. After selling 200 tickets they had a net profit of 12,000. They had to sell a few tickets just to cover necessary production costs of 1,200.
Let y represent the net profit (in dollars) when they have sold x tickets.
Complete the equation for the relationship between the net profit and number of tickets sold.
Answer: 120000
Step-by-step explanation:
4-62. Find the area and perimeter of the
below shape.
7.6 ft
3 ft
7 ft
7 ft
Answer:
area= 59.5 perimeter=31.6
Step-by-step explanation:
the area of the square is 49 because 7x7=49 and the area of the triangle is 3x7/2 because it is half of a rectangle so it is 10.5 + 49 = 59.5 and perimeter you add all the sides so 3+7.6+7+7+7= 31.6
i need help on this does any body know
Answer:
use this formula
Step-by-step explanation:
Given Rectangle MNOP
Answer:
Step-by-step explanation:
55 points please answer correctly you will be marked brainiest!
Answer:
Answers are in picture, and they are color-coded.
Step-by-step explanation:
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
Answer:
Upper quartile- The median of the upper half of a set of data
Lower Quartile- The median of the upper half of a set of data
Quartile- Divides a data set into four equal parts
Range- Difference between the highest and lowest data points
Interquartile- The difference between the upper quartile and the lower quartile
Reason why addition and subtraction should be taught first
Answer:
Addition and subtraction are easier than other operations like multiplication, division, square roots and to the power of.
Multiplication builds on the idea of addition, and to the power of builds on multiplication.
For example: 2+2+2=6. This is very simple, if you have 2 apples, and you get 2 more apples, and then you get 2 more apples, you add them together and you get 6 apples. Multiplication is a faster way to do this but it is more complicated. If you have 3 groups of apples, and each group has 2 apples in it, you multiply them together to get 6 apples. The reason this is faster is that instead of individually adding all the numbers together, you count the number of groups there are and multiply because you know that each group has 2 apples in it. Addition is a simple concept to understand, if you have two apples, than you add two apples more, you get 4 apples. very simple. the idea of subtraction works on a similar idea, if you have 4 apples, and you eat two, then you have 2 apples left.
If you are adding
3+3+3+3+3+3+3+3+3+3+3+3+3+3
then its very simple, right? You take 3 apples, you add 3 more apples, and you add 3 more apples...
Its very simple, but the problem is it would take forever, so you multiply instead.
How many groups do you have?
We count them all and find there are 14 groups.
14x?
What are we multiplying?
3
so 14x3=42
but we couldn't do this without simple addition because we had to add the number of groups there are.
I hope this helps!
Evaluate each expression when a=3 and b=8. Order the results from least to greatest.
Answer:
[tex]\frac{24}{a}[/tex] - b
[tex]\frac{b-2}{a}[/tex]
[tex]\frac{21}{a}[/tex]-[tex]\frac{b}{4}[/tex]
b - [tex]\frac{2}{3}[/tex]a
25 - 2b
5b - 10a
Step-by-step explanation:
a = 3 and b = 8
Plug in a and b into your equations.
25 - 2(8) = 25 - 16..........9
[tex]\frac{8-2}{3}[/tex] = [tex]\frac{6}{3}[/tex]..........2
5(8) - 10(3) = 40 - 30..........10
[tex]\frac{24}{3}[/tex] - 8 = 8 - 8..........0
[tex]\frac{21}{3}[/tex] - [tex]\frac{8}{4}[/tex] = 7 - 2..........5
8 - [tex]\frac{2}{3}[/tex](3) = 8 - 2..........6
Then you order least to greatest.
please help 15 points easy HHHEELLPP
Help Please! Will Make Brainliest!
Gilligan sees a ship coming close to the shore he’s standing on.
he wants to determine the distance (segment SD) from the ship to the shore.
he walks 130ft along the shore from point D to point C and marks the spot.
then he walks 23ft further and marks point B.
he turns 90° and walks until his location (point A), point C, and point S are collinear.
Answer the following questions making sure to show all your work.
(A) can Gilligan conclude that triangle ABC and triangle SDC are similar? why or why not?
(B) suppose AB = 150ft. what is the distance from the ship to the shore? show all your work and round your final answer to the nearest tenth of a foot.
a. Based on the AA similarity theorem, Gilligan can conclude that, ΔABC ~ ΔSDC.
b. To the nearest tenth of a foot, the distance from the ship to the shore is: 847.8 ft.
What are Similar Triangles?The ratios of the corresponding sides of two triangles that are similar are equal.
Two triangles with two pairs of congruent angles are similar to each other based on the AA similarity theorem.
a. In ΔABC and ΔSDC, there are two pairs of congruent angles - ∠DCS ≅ ∠BCA (vertical angles) and ∠ABC ≅ ∠SDC (right angles)
Therefore, based on the AA similarity theorem, Gilligan can conclude that, ΔABC ~ ΔSDC.
b. AB = 150 ft
Distance from the ship to the shore = SD = ?
DC = 130 ft
CB = 23 ft
Thus:
AB/SD = CB/DC
Substitute
150/SD = 23/130
SD = (150×130)/23
SD = 847.8
Thus, to the nearest tenth of a foot, the distance from the ship to the shore is: 847.8 ft.
Learn more about similar triangles on:
https://brainly.com/question/11899908
A basketball team wants to paint half of a free-throw circle grey. If the circumference of the free-throw circle is 30. 77 feet, what is the area that will be painted grey? Use 3. 14 for π, and round to the nearest square foot. Enter your answer in the box.
Answer:
37.69 (≈ 38 ft²)
Step-by-step explanation:
2πr = 30.77
r = 30.77 / (2 * 3.14) = 4.9
half of free-throw circle area: πr² / 2 = (3.14 * 4.9²) / 2 = 37.69 (≈ 38 ft²)