Write an equation in point-slope form for a line that passes through ( 4, 2) and has a slope of -7.

Answers

Answer 1
Answer: Equation= y-2=-7(x-4)

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Find the volume of a cube whose diagonal measures 36√3 cm.

Answers

Answer:

46656 cm^3

Step-by-step explanation:

If a cubes diagonal measures you can solve for its sidelength by creating a triangle. Visualize the diagonal as the hypotenuse of our triangle inside the cube. Then, one of the legs would be the side of the cube itself, and the other leg would be the diagonal of the bottom side of the cube. Knowing this is a cube, we can call each side s. If each side is s, then the diagonal of the bottom face is s√(2)( this is a special triangle property, 45-45-90 triangle.) Then we know our triangle is a right triangle, so we can use the Pythagorean theorem to solve for s.

s^(2) + (s√(2) )^(2) = (36√(3))^2

Solve this equation for s.

s^(2) + 2s^(2) = 3888

3s^(2) = 3888

s^(2) = 1296

s = 36

Since we now found the side length of the cube, we can find its volume by cubing the side length:

s^3 = (36)^3 = 46656cm^3

Solve the equation for x. 2 3 x −1 9 x + 5 = 20 x =

Answers

Answer:

5/2

Step-by-step explanation:

23x-19x+5=2x

23x-19x-2x=5

2x/2=5/2

x=5/2

Answer: The correct answer is 27

Step-by-step explanation: EDGE 2022

Find the diagonal of a square with a perimeter of 28 inches

Answers

Perimeter of a square = 4 x the length of one side = 28 in.
Length of one side = 7 in.
Length of the diagonal = square root of (7² + 7²) = 7√2 = 9.899 in (rounded)
a-side\ of\ square\n\nperimeter\ is\ 28in\n\n4a=28\ \ \ \ /:4\na=7\ (in)\n\nThe\ diagonal\ (d)\ equal\ a\sqrt2\n\nd=7\sqrt2\ inches.

Explain how to solve the equation. 49= x/7Part 1
Select the correct choice below and fill in the answer box within your choice.
​(Type a whole​ number.)

A . Subtract _from both sides.

B . Multiply both sides by _

C . Add_ to both sides.

D . Divide both sides by _

Answers

49 = (x)/(7)

Multiply both sides of the equation by 7

49 * 7 = (x)/( \cancel7) * \cancel7

343 = x

x = 343

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  • OptionBisthecorrectchoiceandthenumberthatcomesintheblankis7...~

There are 12 students in a classroom, including the triplets joey, chloe, and zoe. If 3 of the 12 are randomly selcted to give speeches, what is the probability that joey with be first, chloe will be second, and zoe will be third?A: 1/1320 B: 1/4 C: 1/48 D: 1/220

Answers


The probability of choosing Joey first is  1/12 .

If that happens, the probability of choosing Chloe next is  1/11 .

Then, the probability of choosing Zoe after that is  1/10 .

The probability of all these things happening is

          (1/12) x (1/11) x (1/10) 

       =  1/1320 = 0.00076 = 0.076 percent 

Arliss has two pieces of carpet runner. One is yards long and the other is yards long. She needs 10 yards of carpet runner altogether. How much more does she need to buy?

Answers

Given:
10 yards required
5 2/3 yards on hand.

We need to subtract the yards on hand from the total yards required.

First, we need to convert the mixed fraction into an improper fraction.

5 2/3 = ((5*3)+2)/3 = (15+2)/3 = 17/3

Second, we need to multiply 10 by a fraction that will give us the denominator of 3.

10 * 3/3 = (10*3)/3 = 30/3

Third, we do subtraction using our derived fractions.

30/3 - 17/3 = (30-17)/3 = 13/3

Lastly, we simplify the improper fraction. Improper fraction is a fraction whose numerator is greater than its denominator. Its simplified form is a mixed fraction.

13/3 = 4 1/3

Arliss needs to buy 4 1/3 yards more to complete the required yard length. 

Answer: 41/3

Step-by-step explanation: