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djverab [1.8K]
3 years ago
12

Construct a linear equation for the table. What is the slope of the line

Mathematics
1 answer:
Klio2033 [76]3 years ago
3 0

We have points (-3, 4), (-1, 2), (4, -3) and (6,-5)

Let's verify it's a line by calculating the slopes between successive points.

Slope is change in y over change in x.

(2 - 4)/(-1 - -3) = -2/2 = -1

(-3 - 2)/(4 - -1) = -5/5 = -1

(-5 - -3)/(6 - 4) = -2/2 =-1

Yup.  We have a line of slope -1 through point (-1, 2)

y - 2 = -1(x - -1)

y  = -x - 1 + 2

y = -x + 1

That's the linear equation for the table.  

Answer:  Linear equation: y = -x + 1          slope = -1

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Pythagorean Theorem to find the missing the leg, if the hypotenuse is 12 inches and the other leg is 7 inches
madreJ [45]

Answer:

Adjacent = 9.75 inches.

Step-by-step explanation:

Given the following data;

Hypothenus = 12 inches

Opposite = 7 inches

To find the other leg i.e adjacent, we would use Pythagorean' theorem given by the formula;

Hypothenus² = opposite² + adjacent²

Substituting into the formula, we have;

12² = 7² + adjacent²

144 = 49 + adjacent²

Adjacent² = 144 - 49

Adjacent² = 95

Taking the square root of both sides, we have;

Adjacent = 9.75 inches.

Therefore, the other leg is 9.75 inches.

8 0
3 years ago
What is y-2=-3x(x-7) written in standard form?
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Answer:

The equation in standard form is  

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8 0
3 years ago
$3,250 is withdrawn at the end of every month from an account paying 4.1% compounded monthly. Determine the previous value of th
kirill [66]
The amount needed such that when it comes time for retirement is $2,296,305. This problem solved using the future value of an annuity formula by calculating the sum of a series payment through a specific amount of time. The formula of the future value of an annuity is FV = C*(((1+i)^n - 1)/i), where FV is the future value, C is the payment for each period, n is the period of time, and i is the interest rate. The interest rate used in the calculation is 4.1%/12 and the period of time used in the calculation is 30*12 because the basis of the return is a monthly payment.

FV = $3,250*(((1+(4.1%/12)^(30*12)-1)/(4.1%/12))
4 0
3 years ago
Find the product. (1.8 x 10^5)(3.1 x 10^2)
Stells [14]

Answer:

5.58*10^7

Step-by-step explanation:

Recall that 10^a*10^b = 10^(a+b).  Thus, 10^5*10^2 = 10^7.

Thus, (1.8 x 10^5)(3.1 x 10^2) = (1.8)(3.1)*10^7 = 5.58*10^7

                           

7 0
3 years ago
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Solve for &lt;1.<br> &lt;1<br> &lt;1 = [?]<br> &lt;2<br> &lt;4=123°<br> 57°
aleksandr82 [10.1K]

Answer:

Angle 1=66

Step-by-step explanation:

Step 1, solve for angle 2

<2+123=180 degrees

Angle 2=57 degrees

Step 2, solve for angle 1

Since this is an isosceles triangle, to solve for angle 1, the equation is 2(57)+x=180

Angle 1=66 degrees

4 0
3 years ago
Read 2 more answers
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