1/8 x 1/8 x 1/8 answer in fraction form

The system of equations that can be used to determine whether the road intersects the boundary of the tower’s signal is

 [tex]y = 2x^2 - 16x + 34\\11y = -5x + 62[/tex]

If a quadratic equation is written in the form

[tex]y=a(x-h)^2 + k[/tex]

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

For the given situation, the quadratic equation has vertex (h,k) = (4,2) and it passes through (5,4).

If we consider the equation to be of the form [tex]y=a(x-h)^2 + k[/tex],

then, as h = 4, k = 2, it becomes [tex]y = a(x-4)^2 + 2[/tex]

Now since it passes through (5,4), thus at x = 5, and y = 4, the equation must be true, or:

[tex]y = a(x-4)^2 + 2|_{(x,y) = (5,4)}\\\\4 = a(5-4)^2 + 2\\4 = a + 2\\a = 2[/tex]

Thus, the quadratic equation in consideration is: [tex]y = 2(x-4)^2 + 2 = 2x^2 + 32 -16x + 2\\y = 2x^2 - 16x + 34[/tex]

The straight line in consideration connects points (–3, 7) and (8, 2).

Equation of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]  is

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

Since we've got [tex](x_1, y_1) = (-3,7) \: \rm and \: \: (x_2, y_2) = (8,2)[/tex]

We get the equation of the straight line in consideration as:

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)\\\\(y-7) = \dfrac{2-7}{8 - (-3) } (x-(-3))\\\\y - 7 = -\dfrac{5}{11}(x+3)\\\\11y = -5x + 62[/tex]

Therefore, the system of equations that can be used to determine whether the road intersects the boundary of the tower’s signal is

[tex]y = 2x^2 - 16x + 34\\11y = -5x + 62[/tex]

These equations' graphs' intersection is the solution to this system

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Answer:

y-2(x-4)^2=2

5x+11y=62

Step-by-step explanation:

a on edge 22

Answer:

$9

Step-by-step explanation:

20% is equal to 1/5. Multiply $45 by 1/5 to get $9

Answer:

The width of the actual pool is 12 meters

Step-by-step explanation:

You can put Kiara's scale into a ratio or fraction to help visualize it better: 13/6. Now, let's put what we do know for the other ratio into a fraction. we know that the pool is 26 centimeters wide, and since the 26 matches with the 13, that goes in the numerater. since we don't know the denominator, we can just put 26/x (you can use whatever letter you like but I'll use x here)

So in order to get 13/6 to 26/x, we need to find how to figure out what we are doing to the original fraction. Since 13 x 2= 26, it looks like we are multiplying the ratios by 2. Now that we know that, we can multiply the denominator (6) by 2 to equal 12, our answer.

Hope this helps :)    

Answer:

d)X=4 or x=-2

Step-by-step explanation:

X²-2x=8

X²-2x-8=0

(x-4)(x+2)=0

X-4=0 or x+2=0

X=4 or x=-2

Answer: D. x = 4 or x = -2

The correct answer is x = 4 or x = -2

Step-by-step explanation:

Hope this helps =)

Answer:

[tex]49x^2+126xy+81y^2[/tex]

Step-by-step explanation:

Use the square of a binomial theorem

[tex](a+b)^2[/tex]= [tex]a^2+2ab+b^2[/tex]

Now expand the given equation:

[tex](7x+9y)^2=49x^2+126xy+81y^2[/tex]

Hope this helps :)

Have a great day!

Answer:

range = 39

Step-by-step explanation:

The range is the difference between the largest value in the data set and the smallest value.

range = 65 - 26 = 39

Answer:

35

Step-by-step explanation:

26, 35, 38, 41, 43, 52, 54, 55, 58,61

The biggest number minus the smallest number

61- 26

35

Taxation is done on the discounted price. The equation representing the final price of a tablet for this condition is : Option A: c[p(t)] = 0. 918t

Functions which are formed by composing two or more functions in a way that one's input is another's output unless its the last and first function is called composite functions.

For given case, it is given that

Discounted price for original 't' price of a tablet is

[tex]p(t) = 0.85t[/tex]

This discounted price is then passed as input to the tax calculating function as taxation is specified to be done on the discounted price and not on the original price.

The total cost calculating function is [tex]c(p) = 1. 08p[/tex]

Thus, for original price t, the total cost is given as:

[tex]c(p(t)) = 1.08(p(t)) = 1.08 \times 0.85t = 0.918t[/tex]

We composed the two available function to get the direct final cost from value of t.

Thus,

The equation representing the final price of a tablet for this condition is Option A: c[p(t)] = 0. 918t

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The value is approximate.

========================================================

Explanation:

Check out the diagram below.

The angle of depression being 31 degrees refers to the idea of looking straight horizontal, then looking down 31 degrees. I recommend adding a dashed horizontal line.

That horizontal line is parallel to the ground. This forms a pair of congruent alternate interior angles. Therefore, we have two angles that are 31 degrees as the diagram shows.

The 31 degrees at the bottom is the angle of elevation.

Use this angle of elevation to say...

tan(angle) = opposite/adjacent

tan(31) = x/12

x = 12*tan(31)

x = 7.210327 approximately

This rounds to 7.2 feet

Answer:

18 yards

Step-by-step explanation:

Rectangle area = Length (L) x Width (W)

63 yd^2 = L*W

63 yd^2 = L*(3.5 yd)

L = 18 yards

Answer:

/ = 18 yd

Step-by-step explanation:

I took the quiz and this was the correct answer.

Answer:

60 mph

Step-by-step explanation:

We calculate the combined distance travelled by the two trains in two hours.

As they were 500 miles apart at first, and 300 miles apart after, they have travelled 200 miles together.

I think the question means "one train travels 20 mph faster than the other".

Say the faster train has speed x mph. Then the slower has speed x - 20 mph.

Now, the combined distance travelled in 2 hrs is 2 * (x + x - 20) = 200

2x - 20 = 100

2x = 120

x = 60 mph

Step-by-step explanation:

since 4 is being multiplied with x we can take 4 to left hand side where it will be divided

4x = 32

x = 32/4

x = 8

Answer:

Quadrant 2

Step-by-step explanation:

A 90 °counterclockwise rotation, rotates the triangle left one quadrant. Currently the triangle is in quadrant 3.

Answer:

Question 9 right? Well then it would be in quadrant IV

Step-by-step explanation:

Since it is just 90 degrees counterclockwise it would go to the fouth quadrant.

Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex](x+5)^2[/tex] is [tex]x^2 + 10x + 25[/tex]

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

Example:

[tex]x^3 + 4x + 3[/tex]

is a polynomial.

Using both above facts, as the given expression is [tex](x+5)^2[/tex]

Its product result is obtained as

[tex](x+5)^2 = (x+5)(x+5) = x(x+5) + 5(x+5) = x^{1+1} + 5x + 5x + 25\\\\(x+5)^2 = x^2 + (5+5)x + 25 \text{\:(Addition of coefficients of like terms)}\\\\(x+5)^2 = x^2 + 10x + 25[/tex]

It is a fact that result of a polynomial product is polynomial. Thus, the obtained product is a polynomial since x + 5 was a polynomial.

Thus,

The product of [tex](x+5)^2[/tex] is [tex]x^2 + 10x + 25[/tex]

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Answer:

1a) a= -10

b) b= -5

c) c= -1068

d) d= -1000

2a) a and c

b) b and b

c) c and a

d) d and a

Step-by-step explanation:

Answer:

same

Step-by-step explanation:

Answer:

13.3 miles

Step-by-step explanation:

So you're driving <----- for 3 miles

Then you start driving up for 13 miles

This makes a right triangle with sides of 3 and 13

using pathagoreas, a^2+b^2=c^2

3^2+13^2=c^2

9+169=c^2

178=c^2

Square root both sides

c= 13.3416640641

Rounding, it's 13.3 miles

Answer:

10*g

Step-by-step explanation:

How many golf balls were in each package?

10 packages

g =golf balls

The balls came in the 10 packages, we don't know how many there are so we use g as a substitute. Therefore being 10*g.

Ex:

lets assume there is 5 golf balls in each package and there is a total of 10 packages. 10*5=50 and if you count each ball it would be the same 5,10,15,20,25,30,35,40,45,50 balls in each. 10*5= 10*g. Same thing except I added a number making it a equation.

Answer: no solutions

Step-by-step explanation:

6x+4x-1=2(5x+4)

10x-1=10x+8

+1 +1

10x=10x+9

The equation is not true. It has no solutions.

Answer:

US$15

Step-by-step explanation:

US$15 = 19.15 (Canadian)

€11 = 15.91 (Canadian)

£10 = 17.35 (Canadian)

______________________

$1 in the US (US) is $1.28 in Canada

$1 in Euros (€) is $1.45 in Canada

$1 in the UK (£) is $1.73 in Canada

Answer:

The answer is 6î + 9j – 15k

Step-by-step explanation:

So,

A = 2î + 3j – 5k

Multiply The value of A with 3 we get,

3A = 3(2î + 3j – 5k)

3A = 6î + 9j – 15k

Thus, The value of 3A is 6î + 9j – 15k

-TheUnknownScientist 72

Answer:

(-3 , -4)

Step-by-step explanation:

Vector translation: graph slide without rotation on the coordinate plane

Answer: 3

Step-by-step explanation:

Divide the x numbers by 3 to then get the y numbers

Example: 3 divided by 1 is 3, 6 divided by 2 is 3, and it goes on!

once again the final answer is 3

hope this helps!

Hello there !

I will be glad to help you since I already studied this!

So,  the angles that will always be equal to each other formed by a transversal even in solving equations are, corresponding angles, alternative interior, and alternative exterior. Refer to the attachment for visual understanding

Vocabularies: Transversal -  transversal is a line that intersects two or more other (often parallel ) lines.

Include to this there are consecutive interior angles and for a tip, for example, you see an equation with consecutive angles add the two angles and make them equal to 180 degrees in most cases.

Depending on your question they may give you angles with same lines on them so which means in most cases they are equal even if they don't seem equal

I forgot to inform you about vertical angles!

they are also congruent..refer to the attachment too

Supplementary angles are on a straight line.... AND equal to a sum of  180 degrees.. refer to the attachment as well

Answers:

1.  Yes - because they are vertical angles

2. No because none of the rules apply so it's not congruent

3. Yes- they are congruent

4. No because none of the rules apply...

5. No-No because they aren't adjacent and  adjacent angles add up to 180 degrees(Tip: adjacent angles are close to each other almost on the same side)

6. No- they are corresponding... they do now add up to 180 degrees

7. No

Next page      

Answer:

Refer to the other answer attachment please study the rules!

I Hope i helped!

If i made a mistake tell me cause no one is perfect but i think most of them are correct!

....................................................................................................................

Answer:

i have no idea

Step-by-step explanation:

i actually dont know but thnks for the points BTW

Answer:

7,456 im only 9 but i think it's right.

Step-by-step explanation:

Answer:  The answer is 7,456!

Step-by-step explanation: 78 x 78 + 30 x 30 + 20 times 20 + 72 equals to 7456!

Answer:

[tex]a.( - 128)[/tex]

Step-by-step explanation:

#ThanksMeLater

#CarryOnLearning

Answer:

Step-by-step explanation:

You have more than 1/2 the solution just by knowing the slope.

General equation

y = mx + b         where m is the slope and b is the y intercept.

m = 3/4

Solution

y = 3/4 x + b      Now you need the point to solve for b

x = 2

y = 2                  Substitute these values into the line

2 = 3/4 * 2 + b   Simplify the right

2 = 1 1/2 + b

2 = 3/2 + b        Subtract 3/2 from both sides

2 - 3/2 = b         Combine

1/2 = b

So the y intercept is 1/2

Answer

y = 3/4 x + 1/2

or

y = 0.75 x + 0.5        

Answer:

y=3x-1

y=3x+4

this has no solutions from looking at this we can see that the slope is the same so thats means that these are parell and will never cross and will never intersecet

another way to look at this is if we look at these equation

so we now that y=y so

3x-1=3x+4

+1

3x=3x+5

-3x

0=5

wait at minute this makes no sense 0 doesn't equal 5 so

no solution

Hope This Helps!!!