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2 years ago

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A triangle has an area of 40 square inches. It's base is written as (x + 2) and it's height is written as (x + 4). Calculate the

value of x and be sure to check for any extraneous (excluded) value.

1 answer:

olga2289 [7]2 years ago

7 0

-3 plus or minus square root of 41
See attached picture for explanation

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Caleb solved this equation and recorded his work. 7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6 1. 7.4x + 8.2x − 16.4 = −2.3x + 13.8 −

IRINA_888 [86]

For this case we have the following equation:
$7.4x + 4.1 (2x - 4) = -2.3 (x - 6) - 21.6
$
Step 1 of the solution is to make the distributive property.
We have then:
$7.4x + 8.2x - 16.4 = -2.3x + 13.8 - 21.6
$
Step 1 is correct.
The step is to combine similar terms. Caleb wrote: $7.4x + 8.2x - 16.4 = -2.3x + 35.4
$
He wrongly combined the similar terms on the right side of the equation.
The correct solution is: $7.4x + 8.2x - 16.4 = -2.3x -7.8
$
Answer:
In step 2, the like terms were not combined on the right side of the equation.

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2 years ago

Read 2 more answers

Kiley and her parents traveled to visit her grandmother. They drove 24.3 miles from their house to the airport in hour. At the a

Tju [1.3M]

The answer is just 24.3 miles.

The questions asked "How long was the ride from Kiley's house to the airport?"

The first sentence of the problem reads "They drove 24.3 miles from their house to the airport in an hour". The rest of the information isn't necessary to find this answer.

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2 years ago

The slope of diagonal OA is ? and its equation is ?

Nimfa-mama [501]

Answer:

Slope = $\frac{4}{3}$

Equation of the line → $y=\frac{4}{3}x$

Step-by-step explanation:

Let the equation of diagonal OA is,

y = mx + b

Here, m = Slope of the line OA

b = y-intercept

Slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $\frac{y_2-y_1}{x_2-x_1}$

Therefore, slope of the line passing through O(0, 0) and A(3, 4) will be,

m = $\frac{4-0}{3-0}$

m = $\frac{4}{3}$

Since, line OA is passing through the origin, y-intercept will be 0.

Therefore, equation of OA will be,

$y=\frac{4}{3}x$

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2 years ago

Factor 16x2 + 121 over the set of complex numbers.<br> Enter your answer in the box.

aliya0001 [1]

Answer:

(4x - 11i)(4x -+11i)

Step-by-step explanation:

Factor as a difference of squares

a² - b² = (a - b)(a + b)

note that i² = - 1

Given

16x² + 121

= (4x)² - (11i)²

= (4x - 11i)(4x + 11i)

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2 years ago

Maya needs to buy 10.4 tons of rocks for her landscaping company. Each ton of rocks costs $32.90. The salesperson offers to sell

fredd [130]

Answer:

10.4 × 32.90 = 342.16

so yeah she should take the deal

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2 years ago