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4 years ago

Please help me with question 1

Mathematics

1 answer:

Vanyuwa [196]4 years ago

5 0

17/51=8/x <-- Cross multiply
17x=408 <-- Divide 17 by both sides
x=24

The shortest side is 24 or B.

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A right triangle has a hypotenuse with a length of 130 cm. One leg has a length of 100 cm. What is the length of the other leg o

saveliy_v [14]

Answer:

B. √6900

Step-by-step explanation:

The square length of hypotenuse is equal to sum of square length of two legs let x represent the other leg

130^2 = 100^2 + x^2

16900 = 10000 + x^2 subtract 10000 from both sides

6900 = x^2 find the root for both sides

x = √6900

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3 years ago

Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.This mornin

Georgia [21]

Answer:

$\begin{gathered} \text{ A tray of club sandwiches cost \$9} \\ A\text{ tray of vegetarian sandwiches cost \$6.} \end{gathered}$

Step-by-step explanation:

Given the information, create the following augmented matrix:

The first order was for 1 tray of club sandwiches, at a cost of $9. The second-order, which cost $69, was for 5 trays of club sandwiches and 4 trays of vegetarian sandwiches.

$\begin{gathered} 5x+4y=69 \\ x=9 \end{gathered}$

Into an augmented matrix:

$\begin{bmatrix}{5} & {4} \\ {\placeholder{⬚}} & {1}\end{bmatrix}\begin{bmatrix}{69} & {} \\ {9} & {}\end{bmatrix}$

Solve.

Let x be the cost of a tray of club sandwiches.

Let y be the cost of a tray of vegetarian sandwiches.

$\begin{gathered} x=9 \\ Substitute\text{ on the first equation} \\ 5(9)+4y=69 \\ 4y=69-45 \\ y=\frac{24}{4} \\ y=6 \end{gathered}$

8 0

1 year ago

Jim is riding his bike home from school. The school is 9 miles from his house and he rides his bike at a constant speed of 12 mi

mixer [17]

Answer:

Step-by-step explanation:

8 0

4 years ago

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The rectangle below has an area of 14x^4+6x^214x 4 +6x 2 square meters. The width of the rectangle (in meters) is equal to the g

valina [46]

Answer:

<u>Width = 2x² , Length = 7x² + 3</u>

Step-by-step explanation:

The area of the rectangle = 14x⁴ + 6x²

The width of the rectangle (in meters) is equal to the greatest common monomial factor of 14x⁴ and 6x²

Factors of 14: 1 * <u>2</u> * 7

Factors of 6: 1 * <u>2</u> * *3

∴ The greatest common monomial factor of 14 and 6 = 2

Factors of x⁴: x , x² , x³ , x⁴

Factors of x²: x , x²

∴ The greatest common factor of x⁴ and x² = x²

∴ Width = 2x²

∵ Area = length times the width

∴ Length = Area/Width

Length = $\frac{14x^{4}+6x^2 }{2x^2} =\frac{2x^2*(7x^2+3)}{2x^2} =7x^2+3$

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3 years ago

What is the opposite of

Harlamova29_29 [7]

<h3>Opposite of $x ^{2} - 2x + 4$ is $x {}^{2} + 2x - 4$ </h3>

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3 years ago

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