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3 years ago

Select the factors of x2 − 10x + 25.

Mathematics

2 answers:

CaHeK987 [17]3 years ago

6 0

Answer:

(x-5)2

Step-by-step explanation:

you must solve the expression (x-5)2 as the form (a-b)2 = a2 -2ab + b2

So it becomes x2-10x+25

Elena-2011 [213]3 years ago

6 0

Answer: (x-5)(x-5) or (x-5)²

Step-by-step explanation:

(a-b)(a-b)= a² - 2ab + b²

→ x² - 10x - 25

→ √25 = 5

so a= x, b= 5

this gives us (x-5)(x-5)

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What’s the answer and how do I solve this ?

sammy [17]

Y = (x + 3)² - 2
you get this by... uh, moving the vertex of the parabola three to the left (+3) and down two (-2)...

6 0

3 years ago

Read 2 more answers

Kelly solved an equation: H/ 4 - 11 = 13 using two inverse operations of adding 11 to both sides of the equations, and then divi

MariettaO [177]

Answer:

She should have multiplied by 4, not divided

Step-by-step explanation:

Given

$\frac{H}{4}$ - 11 = 13 ( add 11 to both sides ) ← correct

$\frac{H}{4}$ = 24 ( multiply both sides by 4 to clear the fraction )

H = 4 × 24 = 96

H is divided by 4, thus the inverse operation is to multiply

6 0

3 years ago

ΔJKL is dilated about the origin with a scale factor of 2/3. Which of the following is the image point of K(6,12)?

Snowcat [4.5K]

Answer: (4,8) which is choice A

f = 2/3 is the scale factor

x = 6 and y = 12 pair up to get the coordinates for point K's location

multiply f by x and y to get the new location

f*x = (2/3)*6 = (2/3)*(6/1) = (2*6)/(3*1) = 12/3 = 4

f*y = (2/3)*12 = (2/3)*(12/1) = (2*12)/(3*1) = 24/3 = 8

The results we get are 4 and 8. So (6,12) moves to (4,8)

This scale factor 2/3 = 0.667 is less than 1, so the image is smaller compared to the pre-image.

8 0

3 years ago

99/100 * 0.4......<br> please solve this ASAP

nekit [7.7K]

Answer is 0.396
To make it easier, I converted the fraction to a decimal (0.99), then multiplied 0.99 • 0.4 which will equal 0.396 or 99/250.

5 0

3 years ago

Find the volume and surface area of the composite figure. Give your answer in terms of pi

ExtremeBDS [4]

Given:

A diagram of a composite figure.

Radius of cone and hemisphere is 8 cm.

Height of the cone is 15 cm.

To find:

The volume and the surface area of the composite figure.

Solution:

Volume of a cone is:

$V_1=\dfrac{1}{3}\pi r^2h$

Where, r is the radius and h is the height of the cone.

Putting $r=8,h=15$ in the above formula, we get

$V_1=\dfrac{1}{3}\pi (8)^2(15)$

$V_1=\pi (64)(5)$

$V_1=320\pi$

Volume of the hemisphere is:

$V_2=\dfrac{2}{3}\pi r^3$

Where, r is the radius.

Putting $r=8$ , we get

$V_2=\dfrac{2}{3}\pi (8)^3$

$V_2=\dfrac{1024}{3}\pi$

$V_2\approx 341.3\pi$

Now, the volume of the composite figure is:

$V=V_1+V_2$

$V=320\pi +341.3\pi$

$V=661.3\pi$

The volume of the composite figure is 661.3π cm³.

The curved surface area of a cone is:

$A_1=\pi r\sqrt{h^2+r^2}$

Where, r is the radius and h is the height of the cone.

Putting $r=8,h=15$ in the above formula, we get

$A_1=\pi (8)\sqrt{(15)^2+(8)^2}$

$A_1=\pi (8)\sqrt{289}$

$A_1=\pi (8)(17)$

$A_1=136 \pi$

The curved surface area of the hemisphere is:

$A_2=2\pi r^2$

Where, r is the radius.

Putting $r=8$ , we get

$A_2=2\pi (8)^2$

$A_2=2\pi (64)$

$A_2=128\pi$

Total surface area of the composite figure is:

$A=A_1+A_2$

$A=136\pi +128\pi$

$A=264\pi$

The total surface area of the composite figure is 264π cm².

Therefore, the correct option is A.

8 0

3 years ago