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2 years ago

Help me please 8th grade khan academy virticle angles

Mathematics

1 answer:

ivanzaharov [21]2 years ago

8 0

The answer is 62^ it reflects angle IK

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It costs $35 for a membership at a wholesale store. The monthly fee is $15 .Write an equation that represents the total costs (

Anika [276]

Answer:

$y= 35+15x$

Step-by-step explanation:

Given data

It costs $35 for a membership

Monthly fee is $15

Let the number of months be x

and the total cost for x months be y

Hence the expression for the cost after x months is given as:

$y= 35+15x$

6 0

3 years ago

How many permutations exist of the letters PQRS and T taking four at a time

lakkis [162]

Looking at the permutation formula, we have n!/(n-r)!. n is the number of objects to select from and r is how many are to be picked at once. And 1 means multiply from there down basically. 5!/(5-4)!= 5*4*3*2*1/1. 5 times 4 is 20 times 3 is 60 times 2 is 120 times 1 is 1 so 120/1 is 120. There are 120 total combinations to be made from P, Q, R, S and T.

5 0

3 years ago

Read 2 more answers

Find two positive consecutive odd integers such that the square of the large integer is one less than twice the square of the sm

andre [41]

Step-by-step explanation:

x, x+2 are the two positive consecutive of integers (x + 2, because the minimum distance between 2 odd numbers is always 2, as there can never be 2 odd numbers directly following each other; and neither can even numbers, by the way).

(x+2)² = 2×x² - 1

x² + 4x + 4 = 2x² - 1

0 = x² - 4x - 5

we can solve this by factoring.

that means we need to find a and b so that

(x - a)(x - b) = x² - 4x - 5 = 0

and x = a and x = b are the 2 solutions of the quadratic equation.

x² - ax - bx + ab = x² - 4x - 5 = 0

x² - (a+b)x + ab = x² - 4x - 5 = 0

a+b = 4

ab = -5

that means that either a or b has to be 5 and the other -1.

so, the result is

(x - 5)(x + 1) = 0

x = 5

x = -1

are the possible solutions.

since we are only looking for positive integers, x = -1 is not a valid solution.

and only x = 5 remains as valid solution.

therefore, the 2 positive consecutive odd integers are

5, 7

4 0

3 years ago

Please help me it is an easy question

Ugo [173]

Answer:

200 yd²

Step-by-step explanation:

A = 17 yd

B = 15 yd

C = 2 yd

D = 8 yd

b) Area of rectangle = length * width

$\sf Area \ of \ 2 \ triangle = 2* \dfrac{1}{2}* base * height = base* height\\\\$

Area of right triangular prism = Areas of two triangle + area of the upper rectangle + area of middle rectangle + area of below rectangle

= 8 * 15 + 17 * 2 + 15 *2 + 8*2

= 120 + 34 + 30 + 16

= 200 yd²

5 0

2 years ago

Area model to represent the expression for 22 x 20

IgorLugansk [536]

Well the answer would have to be 440

8 0

3 years ago