Write the absolute value equations in the form |x-b|=c(where b is a number and c can be either number or an expression) that have the following solution sets:
One solution: x=15

Answer:

y - 3 = (-5/7)(x + 4)

Step-by-step explanation:

The given line, y = 7/5x-2/5, has a slope of 7/5.  Any line perpendicular to this one must have a slope tht is the negative reciprocal of 7/5, which is -5/7.

Use the point-slope formula to come up with an equation for this new line:

y - 3 = (-5/7)(x + 4)

Answer:

I am not sure

Step-by-step explanation:

But I think I know

Answer:

Step-by-step explanation:

n=0

w=3120

i=[tex]\sqrt 2[/tex]

q=[tex]\frac{-6}{7}[/tex]

r=5.123456...

Answer:

Let f = dollars spent on flights, h dollars spent on hotels, and p dollars spent on all other purchases.

Step-by-step explanation:

Answer:

-5×-5>15

+5 +5

-5×>20

÷-5 ÷-5

x<-4

whe you divide by a negativr you flip the sign

Answer:

Part A)

The polynomial is:

[tex]A=4(x+8)(x+10)[/tex]

Or, expanded:

[tex]A=4x^2+72x+320[/tex]

Part B)

When the width of the frame is two inches, the area of the picture including the frame is 480 square inches.

Step-by-step explanation:

Part A)

For solely the picture, the width is 16 inches, and the length is 20 inches.

If we include the width of the frame, then we will have to add x to both sides of the 16 inches. Then the new width will be (16 + 2x) inches.

Likewise, the new length will be (20 + 2x) inches.

The area of a rectangle is given by its width multiplied by its length. Then the polynomial that represents the area will be:

[tex]A=(16+2x)(20+2x)[/tex]

To simplify calculations, we can factor out a two from both factors. Thus:

[tex]A=2(8+x)\cdot 2(10+x)=4(x+8)(x+10)[/tex]

Expanded, this will be:

[tex]A=4(x^2+18x+80)=4x^2+72x+320[/tex]

Part B)

When the width of the frame is two, x = 2. Then the area is:

[tex]A=4(2+8)(2+10)=4(10)(12)=40(12)=480\text{ inches}^2[/tex]

The area of the picture including the frame will be 480 square inches.

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 4 ← is in slope- intercept form

with y- intercept c = - 4 → A

Answer:

2 square cm

Step-by-step explanation:

Given :

A square is inscribed in a circle whose radius is r = 1 cm

Therefore, the diameter of the circle is 2 r = 2 x 1

                                                                      = 2 cm.

So the diagonal of the square is 2r.

Using the Pythagoras theorem, we find each of the side of the triangle is [tex]$r \sqrt 2$[/tex].

Therefore, the area of the square is given by [tex]$\text{(side)}^2$[/tex]

                                                                         = [tex]$(r\sqrt 2)^2$[/tex]

                                                                         [tex]$= 2 r^2$[/tex]

                                                                         [tex]$= 2 (1)^2$[/tex]

                                                                         [tex]$=2 \ cm^2$[/tex]

Hence the area of the largest square that is contained by a circle of radius 1 cm is 2 cm square.

Answer:

0.079 would be the correct answer

Step-by-step explanation:

you just do 3/10 x 5/19 and then you get the answer

Answer:

255 degrees is in quadrant 3. The reference angle in this case is the negative x axis to 255 degrees, which is 255 - 180 = 75 degrees

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

6 + 8 = 14 which is bigger than 9 so it is possible

If the two shorter sides add up to a number that is equal to or smaller than the largest side, the triangle is impossible

Answer:

Your Answer is going to be C

Answer:

1160

Step-by-step explanation:

1000×4/100% ×4=160

add the1000+160 since they have asked altogether=1160/=

Answer:

1st statement is true

Step-by-step explanation:

The 1st statement is true since .25 is 25/100

The 2nd statement is false since 20 / 10 = 2 not .20 which is 2/10

The 3rd statement is false since 2/3 = .6666667 not .23

The 4th statement is false since .4 = 4/10 not 1/4 which is .25

Answer:

Step-by-step explanation:

5/7 x 9/10

=5/7 9/5 X 2

=1/7 X 9/2

=1 X 9/ 7 X 2

=9/ 7 X 2

=9/14

The expression 5/7 x 9/10, is equivalent to 9/14.

We have the following expression -

5/7 x 9/10

Given is -

5/7 x 9/10

1/7 x 9/2

9/14

Therefore, the expression 5/7 x 9/10, is equivalent to 9/14.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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Answer:

yes

Step-by-step explanation:

Answer:

£1067.22

Step-by-step explanation:

A = P(1 + rt)

A = £990(1 + 0.026*3)

A = £1067.22

Mark brainliest if this helped!

Mark brainliest if this helped!

Answer:

Alternate interior angles have the same measure. As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal. Also we now that sum of all the angles of a triangle is equal to 180°. Hence, m∠2=15°

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

This is a kite.

The angle measures of the diagonals (the lines in the middle) are always going to be 90° if they looks like this without any other measures. This goes for all other quadrilaterals as well.

m∠2=90°

Hope I helped.

Answer:

55

Explanation:

Exponential functions do not have a vertex.

"Exponential function, as its name suggests, involves exponents. An exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

In mathematics, an exponential function is a function of form [tex]f(x) = a^{x}[/tex], where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0."

"The standard form of a quadratic equation is y = ax² + bx + c and the vertex form of the same is y = a (x - h)² + k. Here, the vertex form has a square in it. So to convert the standard to vertex form we need to complete the square."

We know that, the graph of an exponential function consists of a horizontal asymptote. However, there is no quadratic function available that consists of a horizontal asymptote.

Hence, exponential functions do not have a vertex.

Learn more about an exponential function here: https://brainly.com/question/14355665

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Answer:

36 meter square

Answer:

i am confused on what you are asking but if you explain it i would love to help

Step-by-step explanation:

Answer:

-1/5. When you do y^2 - y^1/ x^2 - x^1 = It will lead to -1/5

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

 1      

  20

X    5

  100

Answer:

Bird swoops down by 107 feet to grab a mouse on top of a [tex]3[/tex] foot tall rock

Step-by-step explanation:

Given

The level of mouse from the ground is [tex]3[/tex] foot as it is on the top of a  [tex]3[/tex] foot  tall rock.

The level of bird at which it is flying from the ground is [tex]110[/tex] feet

Change in elevation when the bird swoops down to grab the  mouse

[tex]= 110 -3\\= 107[/tex]feet

Bird swoops down by 107 feet to grab a mouse on top of a [tex]3[/tex] foot tall rock

Answer:

x = 4

Step-by-step explanation:

Answer: 0.05

Step-by-step explanation: Ur welcome

Step-by-step explanation:

8×x+8×4=62.4.x=_

8x+32=62.4.x=_

8x=62.4-32

8x=30.4

x=30.4:8

x=3.8

Answer:

VWU

Step-by-step explanation: just match the side.