Point A is located at coordinates (-4,3). What are the new coordinates of A' after a a translation two units to the right, then a reflection using the x-axis?

Answer:

x² - 30 + 5x

Step-by-step explanation:

(x + 5)(x − 5)

=x(x − 5)+5(x − 5)

=x² - 5 + 5x - 25

=x² - 30 + 5x

Answer:

3 in

Step-by-step explanation:

Sum of all sides of ∆ = perimeter

Given that it has a perimeter of 13 in, and the following sides: (x - 5) in, x/2 in, and 6 in, therefore:

[tex] x - 5 + \frac{x}{2} + 6 = 13 [/tex]

Solve to find the value of x

[tex] \frac{2x - 10 + x + 12}{2} = 13 [/tex]

[tex] \frac{3x + 2}{2} = 13 [/tex]

Multiply both sides by 2

[tex] \frac{3x + 2}{2}*2 = 13*2 [/tex]

[tex] 3x + 2 = 26 [/tex]

Subtract 2 from both sides

[tex] 3x + 2 - 2 = 26 - 2 [/tex]

[tex] 3x = 24 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{24}{3} [/tex]

[tex] x = 8 [/tex]

The shortest side = (x - 5) in

Plug in the value of x

= (8 - 5) in

= 3 in

The line segment congruent to line HF will be  DF. The correct option is C.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

Given that there are three triangles and these three triangles are connected to each other at the center's A, B, and C.

The diameter of the three circles is HF, DF, and DH. The three diameters are similar in shape and are also equal to each other.

Therefore, the line segment congruent to line HF will be  DF. The correct option is C.

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Answer:

[tex]\huge\boxed{f^{-1}(x) = \frac{7x-5}{3}}[/tex]

Step-by-step explanation:

Given the function:

[tex]f(x) = \frac{3x+5}{7}[/tex]

Put f(x) = y

[tex]y = \frac{3x+5}{7}[/tex]

Interchange x and y

[tex]x = \frac{3y+5}{7}[/tex]

Solve for y

[tex]x = \frac{3y+5}{7}[/tex]

Multiplying both sides by 7

[tex]7x = 3y+5[/tex]

Subtracting y to both sides

[tex]7x-5 = 3y[/tex]

Dividing both sides by 3

[tex]\frac{7x-5}{3} = y[/tex]

OR

[tex]y = \frac{7x-5}{3}[/tex]

Put y = [tex]f^{-1}(x)[/tex]

So,

[tex]f^{-1}(x) = \frac{7x-5}{3}[/tex]

Hope this helped!

2(5x - 4)

Perimeter formula

P = 2l + 2w

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

= 6x - 10 + 4x + 2

= 10x - 8

= 2(5x - 4)

Answer:

3,125

Step-by-step explanation:

[tex] {5}^{3} \times 25 \\ = {5}^{3} \times {5}^{2} \\ = {5}^{2 + 3} \\ = {5}^{5} \\ = 3,125[/tex]

Answer:

Option B (second one to the right)

Step-by-step explanation:

Solving this equation:

-1/2(30)= -15

-1/2 x 30 = -15

(2 days = 1 inch lost)

Answer:

8

Step-by-step explanation:

The minus turns the base upside down

(1/4)^-3/2 = 4^(3/2)

The square root of 4 is 2

2^3 = 8

So the answer is 8.

Answer:

is 2

Step-by-step explanation:

Answer:

The correct answer is 2

Step-by-step explanation:

Answer :    x=−5

Step-by-step explanation: Step 1: Simplify both sides of the equation.

−3−3x=−4(2x+7)

−3+−3x=(−4)(2x)+(−4)(7)(Distribute)

−3+−3x=−8x+−28

−3x−3=−8x−28

Step 2: Add 8x to both sides.

−3x−3+8x=−8x−28+8x

5x−3=−28

Step 3: Add 3 to both sides.

5x−3+3=−28+3

5x=−25

Step 4: Divide both sides by 5.

5x /5 =  −25 /5

x=−5

Answer:

x=−5

Answer: [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

When you multiply fractions, it is the same as adding or subtracting, but you don't have to worry about having a common denominator. All you have to do is multiply straight across and simplify.

[tex]\frac{4}{3}*\frac{2}{3} =\frac{8}{9}[/tex]

Now we know the answer is [tex]\frac{8}{9}[/tex].

Answer:

8/9

Step-by-step explanation:

The answer is 8/9 because:

1) Whenever we multiply fraction, we have to multiply the numerator and the denominator together: numerator x numerator/denominator x denominator

2) Therefore, 4 x 2/ 3 x 3 = 8/9

Hope this helps! :D

Answer:

5/8 =x

Step-by-step explanation:

9=8/5(x+5) ​

Multiply each side by 5

5* 9=5*8/5(x+5) ​

45 = 8(x+5)

Distribute

45 = 8x+40

Subtract 40 from each side

45-40 = 8x+40-40

5 = 8x

Divide each side by 8

5/8 = 8x/8

5/8 =x

Answer:

is 26 bc i had misclicked it on edge and got it right

The measure of AC is 26 units.

Hence, option (C) is correct.

A closed quadrilateral is a form of polygon with four sides, four vertices, and four angles. Four non-collinear points are joined to create it. Quadrilaterals' internal angles add up to a constant 360 degrees.

In the given quadrilateral,

Side AD = 8X - 1, CD = 6X + 9

And  AB = 3x - 2

According to given diagram,

AD = CD

8x -1 = 6x + 9

2x = 9 + 1

2x = 10

x = 5

The length of side AB = 3x - 2 = 3 (5) - 2 = 15 - 2 = 13

The figure ABCD is a symmetrical figure,

Therefore,

AB = BC

AB = BC = 13

The required side AC = AB + BC

= 13 + 13

= 26

The length of the side AC is 26 units.

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Answer:

s = 4

Step-by-step explanation:

Given: 3r = 10+5s

Fill in r: 3(10) = 10 + 5s

Multiply: 30=10+5s

Subtract: 30-10=5s

Divide: 20/5=s

Answer: 4=s

Answer:

lim(x---->0) = -5

Step-by-step explanation:

first: sin(x-π/2)= -cosx

so the equation will be :

lim(x---->0) = [-6cos(ax)-1}/cosx

solve :

lim(x---->0) =  [-(6cos(a(0))-1}/cos(0)

cos0=1

lim(x---->0)=(-(6(1)-1)/1

lim(x---->0)=-6+1/1

lim(x---->0)=-5

Answer:

Midpoint = (4,4.5) or written as fraction (4,[tex]\frac{9}{2}[/tex])

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} ) \\MP= (\frac{8+0}{2}),(\frac{6+3}{2} ) \\MP= (\frac{8}{2}),(\frac{9}{2} ) \\MP= (4,4.5)[/tex]

Answer:

x > -2

Step-by-step explanation:

-3x+2<8

Subtract 2 from each side

-3x+2-2<8-2

-3x<6

Divide each side by -3, remembering to flip the inequality

-3x/-3 > 6/-3

x > -2

Hey there!☺

[tex]Answer:\boxed{x>-2}[/tex]

[tex]Explanation:[/tex]

[tex]-3x+2<8[/tex]

Let's subtract 2 from both sides of the inequality.

[tex]-3x+2-2<8-2\\-3x<6[/tex]

Now divide both sides by -3.

[tex]\frac{-3x}{-3}<\frac{6}{-3}[/tex]

Simplify 6/-3. Also remember that dividing a positive with a negative will give us a negative.

[tex]6/-3=-2[/tex]

[tex]x>-2[/tex]

Hope this helps!

Answer:

$12

Step-by-step explanation:

Step 1:

$35 - $23

Answer:

$12

Hope This Helps :)

Answer

Least to Greatest order by options: 3, 2, 4, 1

Step-by-step explanation:

Option 3 is 1/2 therefor its 0.5

Option 2 is 4.4

Option 4 is 10

Option 1 is 13.14

And that's put in least to greatest order.

angle BGC and angle BAD

Answer:

35.225 I believe

Step-by-step explanation:

You can always check on Slader.

Answer:

the answer is 0.5, or about 50%

Step-by-step explanation:

If 8 slices are being take out of 16, divide the taken pieces by the total pieces, and it would be half or 0.5.

Hope this helps

Answer: 0.5

Step-by-step explanation: because if the pizza is 8 slices that would be the half of the original number of slices it was, so therefore, it would be rounded to 0.5, or 50%- half the pizza

Answer: “ACB”

Step-by-step explanation: I took the quiz/test

Answer:

Its the same because you add 12 to the first one, then you take back the 12. So its like you added nothing. And in the second one, you add zero

Step-by-step explanation:

Answer:

Its letter B

Step-by-step explanation:

Answer:

   down 7 1/4 feet

Step-by-step explanation:

4 1/2 + 2 3/4 = 4 2/4 + 2 3/4 = (4+2) +(2/4 +3/4) = 6 +5/4 = 7 1/4

The dolphin is 7 1/4 feet below the surface.

Answer:

Step-by-step explanation:

Answer:24 xexponet 3 − 5

Step-by-step explanation:

Answer:

The story presents Raven's trick against the Sky Chief in a matter-of-fact manner.

Step-by-step explanation:

The myth shows what they find valued or acceptable in their culture.