A craft stick fits exactly on the diagonal across the bottom of the rectangular craft box shown in the diagram below.

gladu [14]

$36x^4 - 25=(6x^2)^2-5^2=(6x^2-5)(6x^2+5)$

8 0

2 years ago

Kyle works at a donut factory, where a 10-oz cup of coffee costs 95cents, a 14-oz cup costs $1.15, and a 20-oz cup costs

lianna [129]

Answer:

10Oz = 7 , 14Oz = 16, 20 OZ = 6

Step-by-step explanation:

There three equations that can be made here based on given data

Let number of 10 Oz cup be x

Let number of 14 Oz cup be y

Let number of 20 Oz cube be z

we can see that

x+y+z=29 ----- (i)

.95x + 1.15y + 1.5z = 34.05 ---- (ii)

10x+ 14y + 20z = 414 ---- (iiI)

We can solve these equations together to get the value of x and y and z (Done through calculator 3 variable equation function)

x= 7

y=16

z=6

5 0

2 years ago

Factor the expression given below. Write each factor as a polynomial in

kherson [118]

The factorization of the expression of 43x³ + 216y³ is

(7x + 6y)(49x² - 42xy + 36y²)

Step-by-step explanation:

The sum of two cubes has two factors:

1. The first factor is $\sqrt[3]{1st}$ + $\sqrt[3]{2nd}$

2. The second factor is ( $\sqrt[3]{1st}$ )² - ( $\sqrt[3]{1st}$ ) ( $\sqrt[3]{2nd}$ ) + ( $\sqrt[3]{2nd}$ )²

Ex: The expression a³ + b³ is the sum of 2 cubes

The factorization of a³ + b³ is (a + b)(a² - ab + b²)

∵ The expression is 343x³ + 216y³

∵ $\sqrt[3]{343x^{3}}$ = 7x

∵ $\sqrt[3]{216y^{3}}$ = 6y

∴ The first factor is (7x + 6y)

∵ (7x)² = 49x²

∵ (7x)(6y) = 42xy

∵ (6y)² = 36y²

∴ The second factor is (49x² - 42xy + 36y²)

∴ The factorization of 43x³ + 216y³ is (7x + 6y)(49x² - 42xy + 36y²)

The factorization of the expression of 43x³ + 216y³ is

(7x + 6y)(49x² - 42xy + 36y²)

Learn more:

You can learn more about factors in brainly.com/question/10771256

#LearnwithBrainly

6 0

2 years ago

If m∠1 = 50, then m∠5 =

yawa3891 [41]

1. angle 1 = 50 degrees [ Reason is Given]
2. angle 1 and angle 5 are corresponding angles [Given]
3..Therefore angle1=angle 5 [ Corresponding angles are =]
4..Therefore angle 5 = 50 degrees [= angles have same measure]

The above assumes that we are talking about corresponding angles of congruent or similar polygons or corresponding angles forme when a transversal intersects two parallel lines

8 0

2 years ago

Find the solution set of the following equations: <br><br>2y=2x+7<br><br>X=y+2

kirill115 [55]

Answer:

The system of equations has no solution.

Step-by-step explanation:

Given the system of equations

2y = 2x+7

x = y+2

solving the system of equations

$\begin{bmatrix}2y=2x+7\\ x=y+2\end{bmatrix}$