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gayaneshka [121]
3 years ago
6

Solve each equation. Be sure to check for extraneous solution -7= |a-3|/-2

Mathematics
1 answer:
stepan [7]3 years ago
4 0

Answer:

a = -11, 17.

Step-by-step explanation:

-7 =  |a-3| / -2

Multiply both sides by -2:

|a - 3| = 14

So a - 3 = 14

Giving a = 17

or

a - 3 =- -14

giving a = -11.

Checking these values:

-7 = |17-3| / -2 = 14/-2 = -7  

- so a = 17 is a solution.

-7 = |-11-3| / -2 = 14/-2 = -7

so a = -11 is also a solution.

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Steel loading ramps are used to load a
tia_tia [17]

Answer:

6.25 feet.

Step-by-step explanation:

Let L be the length of the ramp in feet.  

We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.

We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.

Upon substituting our given values in above formula we will get,

Therefore, the length of the ramp is 75 inches.

Let us convert the length of ramp in feet.

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Therefore, the length of the ramp is 6.25 feet.

6 0
3 years ago
Factoring trinomials<br> Select two for each
JulijaS [17]

Answer:

x² - 3x - 10 = (x - 5) (x + 2)

x² - 3x - 18 = (x + 3) (x - 6)

Step-by-step explanation:

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x² + 2x - 5x - 10

x(x + 2) - 5(x + 2)

(x - 5) (x + 2)

<u>x² - 3x - 18</u>

x² - 6x + 3x - 18

x(x - 6) + 3(x - 6)

(x + 3) (x - 6)

<u>-TheUnknown</u><u>S</u><u>cientist</u>

4 0
2 years ago
A bag of chocolates is labeled to contain 0.384 pounds of chocolates. The actual weight of the chocolates is 0.3798 pounds. Are
Marta_Voda [28]

Based on the information given the chocolates stated on the label is 0.0042-ounce lighter.

Weight:

Using this formula

Chocolate weight=Current weight-Actual weight

Where:

Current weight=0.384

Actual weight=0.3798

Let plug in the formula

Chocolate weight=0.384-0.3798

Chocolate weight=0.0042 ounce

In conclusion, the chocolates stated on the label are 0.0042-ounce lighter.

6 0
2 years ago
Six values on the number line above are marked with letters. Which letters represent integers when the value on the number line
s344n2d4d5 [400]

Answer:

Here is your answer C

Step-by-step explanation:

4 0
3 years ago
What does "As Much" mean in math? I am doing homework and I don't want to fail so I really need help.
igor_vitrenko [27]
It means the same used in a question like this, is 25 as much as 25.
4 0
3 years ago
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