What is the image of (−8,2) after a reflection over the y-axis?

Answer:

The length of PQ is 18 feet.

The length of PR is 18 feet.

The length of QR is 24 feet.

Step-by-step explanation:

A way to set an equation up for this problem is:

[tex]\frac{4}{3}x+x+x=60[/tex]

where x is the three lengths of the isosceles triangle, but the base QR is 4/3 the length of the other two congruent sides, length PQ and PR. The 60 represents the total length of the perimeter.

Then, solve for x from the equation, and you’ll get x=18. But your not done yet. Since the variable x in the equation stands for the sides of the isosceles triangle, so plug 18 into the equation and it should look like this:

[tex]\frac{4}{3}(18)+18+18=60[/tex]

Don’t solve the whole equation, just solve the [tex]\frac{4}{3}(18)[/tex] part of the equation, which is equal to 24. So the final equation is this:

[tex]24+18+18=60[/tex]

Conclusion: 24 is the length of QR, and 18 is the length of PQ and PR. And they all equal 60, which is the perimeter. This is very true because the length of PQ and PR are the same (length 18), since it’s an isosceles triangle, and the length of QR is 4/3 the length of PQ and PR (4/3 of 18= 24).

Sorry for the long explanation.

But hope this helps and answers your question :)

Answer:easy thats C

Step-by-step explanation:

enjoy

Answer:

The length of segment JK is 5[tex]\sqrt{5}[/tex] ⇒ C

Step-by-step explanation:

The formula of the distance between the two points (x1, y1) and (x2, y2) is

d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

Let us use the formula above to solve the question

∵ Jk is a line segment

∵ J = (4, 8) and K = (-1, -2)

∴ x1 = 4 and y1 = 8

∴ x2 = -1 and y2 = -2

→ Substitute them in the formula above

∵ JK = [tex]\sqrt{(-1-4)^{2}+(-2-8)^{2}}[/tex]

∴ JK = [tex]\sqrt{(-5)^{2}+(-10)^{2}}[/tex]

∴ Jk = [tex]\sqrt{25+100}[/tex]

∴ Jk = [tex]\sqrt{125}[/tex]

→ Simplify the root

∵ 125 = 5 × 5 × 5

∴ [tex]\sqrt{125}[/tex] = 5[tex]\sqrt{5}[/tex]

∴ JK = 5[tex]\sqrt{5}[/tex]

∴ The length of segment JK is 5[tex]\sqrt{5}[/tex]

Answer:

39

Step-by-step explanation:

the interior angles of a triangle equal 180.

180-(51+90)

180- 141 = 39

hope this helps :)

Answer:

3

Step-by-step explanation:

Answer:

125 / 8 centimeters

Step-by-step explanation:

Given:

V = s³

Where,

V = volume of the cube

s = side length of the cube

if marie's cube has a side length of 2 1/2 centimerters

That is,

s = 2 1/2 cm

V = s³

= (2 1/2)³

= (5/2)³

= 125 / 8 centimeters

NOTE:

(5/2)³ = 5³ / 2³

= 5*5*5 / 2*2*2

= 125 / 8

Answer:

AB=DE

Step-by-step explanation:

they're literally the only pair on the same sides lol

The side AB is equal to DE or AB ≅ DE option (A) AB ≅ DE is correct.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

We have two triangles shown in the picture.

As we know from the definition of the congruent triangle, the same size, and shape.

The three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle

Thus, the side AB is equal to DE or AB ≅ DE option (A) AB ≅ DE is correct.

Learn more about the congruent triangle here:

brainly.com/question/12413243

#SPJ5

Answer:

Piano Play

Step-by-step explanation:

Answer:

Piano Play offers the better deal.

Step-by-step explanation:

If you divide $525 by 10 you will get $52.50 every hour for Make Music but if you divide $540 by 12 you will get $45 every hour for Piano Play so Piano Play offers the better deal.

Hope this helps!!

Answer:

fraction: 99/1000 Step-by-step explanation:

Answer:

-8.2,-2 1/2, 0.4,2.4

Step-by-step explanation:

hope that helps

Answer:

y=mx+b

y=4x-32

Answer:

y=23

Step-by-step explanation:

Answer:

y = -2x - 9

Step-by-step explanation:

so we have our two points, (-4,-1) and (-8,7) What we need to do to find our slope is y2 - y1 over x2 - x1. Once plugging in the numbers and subtracting it should give you 8/-4. 8 divided by -4 is -2. m = -2. Now to find our "b" we plug in our slope, and plug in one of the two points into the format of y = mx + b.

-1 = -2(-4) + b

multiply -2 and -4

-1 = 8 + b

we subtract 8 from itself and -1

-9 = b

Our equation is y = -2x - 9

Answer:

B

Step-by-step explanation:

if you look at the line one going up, the y axis is at the negatives meaning it begins as -5 . Then notice how it goes up 3 times and it goes to the right once. So the slope is 3/1 or simplified 3 so we know the slope intercept form is = y is 3x-5. Now we look at the second one. None of the answers of the second one are in slope intercept form. for that you have to turn them into it. When you do that for B will be y= -1/2x + 2. When you look at the line the y axis is 2 and the slope is -1/2x.

Answer:

24.0

SinA = sinB

a b

Sin150 = Sin12

a 10

cross multiplication:

Sin(150) x 10

Sin(12)

5

sin 12 = 24.0

I hope I got it correct

Answer:

Step-by-step explanation:

[tex]\frac{10}{sn12}[/tex] = [tex]\frac{a}{sin150}[/tex]

a = [tex]\frac{10sin150}{sin12}[/tex] ≈ 24.0  

Answer:

the integers are 8 and 9

Step-by-step explanation:

consecutive means one right after the other. 9 is right after 8. and its product is 72, well 8x9 is 72.

Answer:

-23

Step-by-step explanation:

the equation of the line is y=-2/3x-23 so the b in the equation (y=mx+b) is the y int so that is -23

Answer:

I think its complementary

Answer:mark brain list answers

mark

get 3 point

freee

Step-by-step explanation:

Answer:

The second one.

Step-by-step explanation:

Answer: The second choice I think

Step-by-step explanation:

Answer:

[tex]x_1=\mathbf{i}\sqrt{6},\ x_2=-\mathbf{i}\sqrt{6},\ x_3=\sqrt{3},\ x_4=-\sqrt{3}[/tex]

Step-by-step explanation:

Biquadratic Equations

Solve:

[tex]x^4 + 3x^2 - 18 = 0[/tex]

The biquadratic equations are equations of degree 4 without the terms of degree 1 and 3.

Solving such equations requires to express the equation as a second-degree equation with [tex]x^2[/tex] as the variable.

Rewriting the equation:

[tex](x^2)^2 + 3(x^2) - 18 = 0[/tex]

The quadratic equation can be factored as:

[tex](x^2+6)(x^2-3)=0[/tex]

It leads to two equations:

[tex]x^2+6=0[/tex]

[tex]x^2-3=0[/tex]

The first equation has imaginary roots. Solving for x:

[tex]x^2=-6[/tex]

[tex]x=\pm\sqrt{-6}[/tex]

[tex]x_1=\mathbf{i}\sqrt{6}[/tex]

[tex]x_2=-\mathbf{i}\sqrt{6}[/tex]

Where

[tex]\mathbf{i}=\sqrt{-1}[/tex]

The second equation has two real roots:

[tex]x^2-3=0[/tex]

[tex]x^2=3[/tex]

[tex]x=\pm\sqrt{3}[/tex]

[tex]x_3=\sqrt{3}[/tex]

[tex]x_4=-\sqrt{3}[/tex]

The roots are:

[tex]\mathbf{x_1=\mathbf{i}\sqrt{6},\ x_2=-\mathbf{i}\sqrt{6},\ x_3=\sqrt{3},\ x_4=-\sqrt{3}}[/tex]

Answer:

its B and D

Step-by-step explanation:

cause 1.5 times 1.5 times 1.5 is 3.375 which is (1.5)  and the explanation for D is that 2.5 times 1.25 Is 3.375 which is (1.5) Hope i helped:)

The expression is equivalent to 3.375 and 2.25 × 1.5.

We have to determine

Which expression is equal to [tex](1.5)^3[/tex]?

The expression is equivalent to;

[tex]= (1.5)^3\\\\= 1.5 \times 1.5 \times 1.5\\\\= 3.375[/tex]

Therefore,

The expression is equivalent to;

[tex]= 2.25 \times 1.5\\\\= 3.375[/tex]

Hence, the expression is equivalent to 3.375 and 2.25 × 1.5.

To know more about Expression click the link given below.

https://brainly.com/question/19943359

Answer:

el resultado es facil es: 7 1/2 espero que te ayude

Answer:

7 1/2

Step-by-step explanation:

Answer:

the answer is -25

Step-by-step explanation:

the answer is -25

Answer:

Car 1 is traveling faster than Car 2. Car 1 is traveling at a speed of 64 miles per hour and Car 2 is traveling at a speed of 55 miles per hour.

Answer:

3 ft.

Step-by-step explanation:

They swim 1 yard a second and 1 yard = 3 ft.

Answer:

60

Step-by-step explanation:

Is because when you have two negative -- signs it became positive

19 + 41 = 60

Answer:

60

Step-by-step explanation:

19 - (- 41) by the power of math, it turns into a positive and the subtraction sign to an addition

19 + (+41)

19+40= 60

Answer: the first one you graph the points (-4,11) (-3,4) (-2,-1) (-1,-4) (0,-5) (1,-4) (2,-1) (3,4) (4,11), it is a function because each input has only one output. Then the second is not a function because it does not pass the vertical line test

Step-by-step explanation: