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2 years ago

Solve for x.

1 answer:

3 0

Hey there.. Lets solve this problem step by step

Given problem --> 5x² - 45 = 0

Step 1 - adding both sides by 45
5x² - 45 + 45 = 0 + 45
5x² = 45

Step 2 - dividing both sides by 5
$\frac{5}{5} x^2 = \frac{45}{5}$
x² = 9

Step 3 - taking square root on both sides to find the value of x
√x² = √9
x = 3 and -3

So correct option is D.

Hope this helps you.. :)

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The coordinates of LMN are L (4,5), M (5,-2), and N (0,0). If the triangle is rotated 270° about point N, what are the coordinat

tester [92]

Answer: (-2,-5)

Step-by-step explanation:

The rotation rule for rotating a figure about $270^{\circ}$ is given by :-

$(x,y)\to (y,-x)$ , where (x,y) is the coordinates for pre-image and (y,-x) is the coordinates for image. (1)

Given : The coordinates of LMN are L (4,5), M (5,-2), and N (0,0).

If the triangle is rotated 270° about point N

Then, the coordinates of M , will be :

$(5,-2)\to (-2,-5)$ (Using the rule described in (1))

Hence, the coordinates of M after rotated 270° about point N=(-2,-5).

8 0

3 years ago

What is the slope of (9,5) and (21-,5)

kondor19780726 [428]

Answer:

$\frac{y2-y1}{x2-x1} \\\frac{-5-5}{21-9}\\ \frac{-10}{12} \\-\frac{5}{6}$

Step-by-step explanation:

4 0

1 year ago

Read 2 more answers

One quart of water-resistant paint covers 75 square feet. A swimming pool is in the shape of a rectangular prism with a length o

docker41 [41]

18.66 quarts of paint is needed to paint the swimming pool with two coats of paint

Solution:

Given that,

A swimming pool is in the shape of a rectangular prism

Length = 20 feet

Width = 10 feet

Height = 5 feet

Find the surface area of prism

$A=2(wl+hl+hw)$

Where, "l" is the length and "w" is the width and "h" is the height

$A = 2(10 \times 20 + 5 \times 20 + 5 \times 10)\\\\A = 2(200+100+50)\\\\A = 2 \times 350\\\\A = 700$

Thus surface area area of prism is 700 square feet

Given that,

One quart of water-resistant paint covers 75 square feet

Therefore,

1 quart paint = 75 square feet

x quart = 700 square feet

This forms a proportion

$1 \times 700 = 75 \times x\\\\x = \frac{700}{75}\\\\x = 9.33$

Thus 9.33 quarts of paint is needed to cover 700 square feet

How many quarts should you buy to paint the swimming pool with two coats of paint

For two coats of paint we need = 9.33 + 9.33 = 18.66 quarts of paint

4 0

2 years ago

HELPPPP ASAP iwill give brain

finlep [7]

Answer:

Day 3 : 6 Day 2: 4 Day 1: 2 and so on

Step-by-step explanation:

This may not be correct but i think that you multiply the day number by two.

6 0

2 years ago

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What is the exact volume of the cone?

victus00 [196]

Answer: [D]: " 196π in.³ " .
_____________________________________________________
Explanation:
_____________________________________________________
Given: radius, "r", equal 7 in.
Given: height, "h", equals 4 in.

Volume: V = Base area * h ;

The base area of a cone is a circle: A = π * r² = π* (7²) = 49π .

(NOTE: Since all answer choices given are in terms of "π" ; we will leave the units in terms of "π").

V = (Based area) * h = (49π in.) * (4 in.) = (49*4)π in.³
= 196π in.³ ; which is: Answer choice: [D] .
__________________________________________________________

8 0

3 years ago

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