The grocery store is located at (-6,5), the school is located at (8,5), and the library is located at (-6,-8). How much farther is the school from the grocery store than the library is from the grocery store?

Answer:

Step-by-step explanation:

Moving a coordinate left will subtract from the x coordinate (left 3 means subtract 3 from x coordinate)

Moving a coordinate right will add to the x coordinate (right 3 means add 3 to x coordinate)

Moving a coordinate down will subtract from the y coordinate (down 3 means subtract 3 from y coordinate)

Moving a coordinate up will add to the y coordinate (up 3 means add 3 to y coordinate)

Reflect means flip the sign of the corresponding coordinate

reflect over x axis flip the sign of x coordinate

reflect over y axis flip the sign of y coordinate

Answer:

The value of x is 15.

Step-by-step explanation:

Since the base is 40 inches long, and the two triangles are congruent - both are right triangles and have sides x and their bases equal - you know that each base of a triangle is 20 inches long. Using the Pythagorean Theorem, you can get that [tex]x^2+20^2=25^2[/tex]. Solve for x by isolating the variable on one side: [tex]x^{2} =25^{2} - 20^{2}[/tex] ⇒ [tex]x^{2} = 625 - 400[/tex] ⇒ [tex]x^{2} = 225[/tex] ⇒ [tex]x^{2} =225[/tex] ⇒ [tex]x=\sqrt{225}[/tex] ⇒ [tex]x=15[/tex] inches.

Answer:

Step-by-step explanation:

"x" is geometric mean

x² = 4 × 16

x² = 64

x = 8

Answer:

[tex]4\frac{1}{4}[/tex] hours : 45 minutes

[tex]4\frac{1}{4}[/tex] hours : [tex]\frac{3}{4}[/tex] hours

255 minutes : 45 minutes

Answer:

49 1/4

Step-by-step explanation:

4 1

4

+ 45

=  (4 + 45) + (  

1

4

+ 0 )

=  49 +  

1

4

+ 0 × 4

=  49 +  

1

4

+  

0

4

=  49 +  

1 + 0

4

=  49 +  

1

4

=  

49 1

4

Answer:

<2 and <8

Step-by-step explanation:

Answer:

130.5ft²

Step-by-step explanation:

Hello There!

The figure shown is a composite figure ( so we can't find the area of it using one formula )

That being said we want to break the irregular figure into regular figures in which the area can simply be found using a formula

The figure would be broken in to the following shapes

A rectangle with a width of 4 ft and a length of 9 ft

A rectangle with a width of 8 ft and a length of 9 ft

A triangle with a height of 5 ft and a base of 9 ft

Now that we have broken the irregular figure into regular shapes we want to find the area of each individual shape

For the smaller rectangle:

The area of a rectangle can simply be calculated by multiplying the width and length

So A = 9 * 4

9 * 4 = 36

so the area of the smaller rectangle is 36ft²

For the larger rectangle

Once again the area can simply be found by multiplying the width and length

A = 8 * 9

8 * 9 = 72

so the area of the larger rectangle is 72ft²

For the triangle

To find the area of a triangle we want to use this formula

[tex]A = \frac{bh}{2}[/tex]

where b = base and h = height

We have already identified the base and height so all we have to do is plug in the values into the formula

[tex]A=\frac{5*9}{2} \\5*9=45\\\frac{45}{2} =22.5[/tex]

so the area of the triangle is 22.5ft²

Finally we add the areas of each regular figure

22.5 + 72 + 36 = 130.5

so we can conclude that the area of the composite figure is 130.5ft²

Answer:

D. y = –2x + 10  

Step-by-step explanation:

1) First, write the equation of the line in point-slope form with the given information. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].  

Since [tex]m[/tex] represents the slope, substitute -2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (5,0) into the formula as well. This gives the following equation:

[tex]y - 0 = -2(x-5)\\y = -2(x-5)[/tex]

2) Expand the right side of the equation to find the answer:

[tex]y = -2(x-5)\\y = -2x+10[/tex]

So, option D is correct.

You can write such a cubic polynomial in terms of its roots using the factor theorem:

(x - (-1)) (x - 3) (x - (-5)) = (x + 1) (x - 3) (x + 5)

Now just expand this:

(x + 1) (x - 3) (x + 5) = x ³ + (1 - 3 + 5) x ² + (-3 + 5 - 15) x - 15

… = x ³ + 3x ² - 13x - 15

Answer:

I think the answer of this question is b

Answer: The first solid's volume is 15/16 or 0.9375. The second solid's volume is 7/4, 1 3/4, or 1.75.

Step-by-step explanation:

First Solid

V= l*w*h

V= 5/8*3/4*2

V= 15/16

15/16 as a decimal is 0.9375

Second Solid

V= l*w*h

V= 6*7/12*1/2

V=  7/4

7/4 as a mixed fraction is 1 3/4. 7/4 as a decimal is 1.75.

Answer:

5 hours

Step-by-step explanation:

x = per hour

y = total cost

You:

y = x + 15

Your friend:

y = 4x

To find the same:

y = x + 15

y = 4x (Multiply by -1)

y = x + 15

-y = -4x

0 = -3x + 15

-3x = -15

x = 5

Answer:

G. 10.5 pounds

Step-by-step explanation:

96 oz + 72 oz = 168 oz

There are 16 oz in one pound

168 oz / 16 oz = 10.5 pounds.

Please be sure to mark this as brainliest if it helpd you!

Answer:

Step-by-step explanation:

Total ounces = 96 + 72 = 168 ounces

1 ounce =

0.0625 pound

168 ounces = 10.5 pound

Option G is the correct answer

Answer:

[tex]\frac{16}{3}[/tex]x

Step-by-step explanation:

2/x = 6/3x

6/3x + 10/3x = 16/3x

Answer:

10/(3x^2+3x)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

I nearly found the length of a chord PQ. Be careful you don't make the same mistake. It is an arc which is part of the circumference.

Equation

Length of arc PQ = angle/360  * 2* pi * r

Givens

Angle = 110

r = 4 in

Solution

Length of arc PQ = 110/360  * 2 * 3.14 * 4

Length of arc PQ = 0.305555 * 6.28 * 4

Length of arc PQ = 7.67555

Length of arc PQ = 7.68

Answer:

dont know im sorry

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

in Josh solution, the steps are correct till

(x-3)² = 16. After this

√(x-3)² = √16

x-3 = 4

x = 4+3 = 7

No, Josh is incorrect the roots of the quadratic equation are 19 & -13.

An equation is quadratic in form if it can be written in the form of ax + bx + c = 0, where a, b, and c are constants and x is the variable.

Given that,

The quadratic equation,

x²  - 6x - 7  = 0

we can calculate the roots of the equation by using the formula:

x   = -b + √(b² - 4ac) / 2a

In the given equation,

a = 1

b = -6

c = -7

x  = -(-6)  + √((-6)² - 4x1x(-7)) / 2

  =    (6 + 8)/ 2

x =   7,  -1

Hence, Josh's solution is not correct.

To know more about quadratic equation check:

https://brainly.com/question/30098550

#SPJ3

Answer:

If I was you I can go

for A because the function name is one to many

Answer:

3

Step-by-step explanation:

Answer:

[tex]12.3[/tex]

Step-by-step explanation:

[tex]\bar{x}=\frac{6+17+15+11+10+9+18}{7}=12.3[/tex]

Answer:

Suppose profits were $1

At 1 yr profit = 2    (2)^1

    2 yr         = 4     (2)^2

    3 yr         = 8      (2)^3

    10 yr        = 1024    (2)^10

So the correct answer should be  5000 * (2)^10

Answer:

65850

Step-by-step explanation:

Answer:

65,850

Step-by-step explanation:

5 laptops costs 163,750(5x32750). Total costs of 229,600-laptops 163,750=costs of desktop 65850.

Answer:

2 1/2 x 3 1/2 x 7 =  61 1/4

9514 1404 393

Answer:

  -5

Step-by-step explanation:

The given linear equation simplifies to ...

  g(x) = 2x -x

  g(x) = x

For x = -5, this is ...

  g(-5) = -5

Answer:

Step-by-step explanation:

I have no clue I just need 5 pionts

Answer:

6825

Step-by-step explanation:

area=largo X ancho

area= 105 x  65=  6825