Option C
For each value of y, -2 is a solution of -21 = 6y - 9
<u>Solution:</u>
Given, equation is – 21 = 6y – 9
We have to find that whether given set of options can satisfy the above equation or not
Now, let us check one by one option
<em><u>Option A) </u></em>
Given option is -5
Let us substitute -5 in given equation
- 21 = 6(-5) – 9
- 21 = -30 – 9
- 21 = - 39
L.H.S ≠ R.H.S ⇒ not a solution
<em><u>Option B)</u></em>
Given option is 3
- 21 = 6(3) – 9
- 21 = 18 – 9
- 21 = 9
L.H.S ≠ R.H.S ⇒ not a solution
<em><u>Option C)</u></em>
Given option is -2
- 21 = 6(-2) – 9
- 21 = - 12 – 9
- 21 = - 21
L.H.S = R.H.S ⇒ yes a solution
<em><u>Option D)</u></em>
- 21 = 6(9) – 9
- 21 = 54 – 9
- 21 = 45
L.H.S ≠ R.H.S ⇒ not a solution
Hence, the solution for the given equation is – 2, so option c is correct
Answer:
a=-22
Step-by-step explanation:
Multiply both sides of the negative equation by (-2) to get the equation:
a-4=13(-2)
then simplify to get:
a-4=-26
then isolate the variable by addig 4 to both sides of the equation to get:
a=-26+4
simplify to get:
a=-22
Answer:
50
Step-by-step explanation:
The length of the midsegment is half the length of the base segment, so you have ...
... 2(6x +2) = 2x +84
... 10x = 80 . . . . . . . . . simplify, subtract 2x+4
... x = 8
The length of the midsegment is 6·8+2 = 50.
Answer:
y=x-3
Step-by-step explanation:
Everytime the x value increases the y value increases by 1
therefore the slope is 1
to solve for the y intercept, or b, plug in a point
(1,-2) for example,
-2= 1*1+b
-2= 1+b
b= -3
therefore y=x-3
Based on the required width and height of the tent, the length of the cloth would have to be 14.4 ft.
<h3>How long should the length of the cloth be?</h3>
The opening of the tent would be an isosceles triangle but if it is divided in two from the top, a right-angled triangle will be formed and the hypotenuse will be the length of the cloth on one side.
That length - according to the Pythagoras theorem - would be:
= √(6² + (8 /2)²)
= √(36 + 16)
= 7.2 ft
As this is the length of one side of the cloth, the length of the entire cloth is:
= 7.2 x 2
= 14.4 ft
Find out more on the Pythagoras theorem at brainly.com/question/343682.
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