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3 years ago

One integer is 8 times another. if the product of the two integers is 288, then find the integers.

1 answer:

7 0

One integer is x
another integer is y

x=8y
xy=288

(8y)(y)=288
8y^2=288
Divide both sides by 8
y^2= 36
The square root of 36 is 6
y=6

x=8y = 8(6) = 48
x=48

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Factor completely and then place the factors in the proper location on the grid. 36x 2 + 60x + 25

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Since 36x² + 60x + 25 is the perfect square trinomial, we use this formula a² + 2ab + b² = (a + b)². Hence, the solution is (6x + 5)²

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3 years ago

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3 years ago

A figure is composed of a rectangle and a right triangle. What is the area of the figure?

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$Area=\frac{1}{2}(13.2cm+8.4cm)\times 6cm$

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We substitute this value and $\pi=3.14$ into the formula to get;

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The approximate length of the ribbon is 22.0ft to the nearest tenth.

QUESTION 3

Type of quadrilateral:Rectangle

Explanation: A rectangle has 4 angles that are right angles.

The two pairs of opposite sides of a rectangle are also congruent.

QUESTION 4.

The circumference of a semi circle is calculated using the formula;

$C=\pi r$

where $r=12.5cm$ is the radius of the semicircle.

$C=3.14\times 12.5cm$

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QUESTION 5

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$Area=\frac{1}{2}\times3.14\times12.5^2+\frac{1}{2}\times25\times 24$

$Area=345.3125+300$

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$Area\approx645cm^2$

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The area of the parallelogram is given by the formula;

$A=bh$

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We substitute the values to obtain;

$23.7=3y$

$y=\frac{23.7}{3}$

$y=7.9in.$

QUESTION 7

The area of a rectangle is given by the formula;

$Area=l\times b$

The area of the bigger rectangle $=9\times15=135in^2$

The area of the smaller rectangle $=8\times 13=104in^2$

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3 years ago

If there is a test with 32 questions and I need a 70% to pass how many can I get wrong and explain why please help 10 POINTS!!!!

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3 years ago

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Solve for x in the equation 2x2-5x+1=3

Butoxors [25]

2x^2 - 5x + 1 = 3

Subtract 3 from both sides
2x^2 - 5x + 1 - 3 = 3 - 3

2x^2 - 5x - 2 = 0

Use quadratic formula with A = 2, B = - 5, C = - 2

x = - b +- sqrt b^2 - 4ac/2a

x = - ( - 5) +- sqrt (- 5)^2 - 4(2)( - 2)/(2)(2)

x = 5 +- sqrt 41/4

x = 5/4 + 1/4sqrt 41 or x = 5/4 + - 1/4 sqrt 41

Answer: x = 5/4 + 1/4 sqrt 41
x = 5/4 + - 1/4 sqrt 41

Hope that helps!!!!! (D)

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4 years ago

One integer is 8​ times another. if the product of the two integers is 288, then find the integers.

One integer is 8 times another. if the product of the two integers is 288, then find the integers.