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2 years ago

Find the slope of the line that goes through the points (-3, 6) and (-4,-1)

Mathematics

1 answer:

katen-ka-za [31]2 years ago

8 0

Answer:

Step-by-step explanation:

1) (-3,6) and (-4, -1) go into this formula m = (y2 - y1) / (x2 - x1)

2) -1 - 6 / -4 - (-3) = -7/-1

3) -7/-1 = 7

4) m=7

m = slope

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what is the center and radius of the circle given the equation, 8x + x-squared - 2y + y-squared - 64 = 0?

RoseWind [281]

Step-by-step explanation:

8x + x² - 2y + y² - 64 = 0

(x + 4)² + (y - 1)² - 81 = 0

(x + 4)² + (y - 1)² = 81

Hencr the center is (-4,1) and the radius is 9.

7 0

2 years ago

Identify as indicating a linear function or quadratic function. f (x) = ax^2 + bx +c <br>

NemiM [27]

I’m 99% sure It is a quadratic function

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2 years ago

What is the area of rhombus ABCD? Enter your answer in the box. Do not round at any steps.

Mrac [35]

Answer:

Area of the rhombus ABCD = 16 square units

Step-by-step explanation:

Area of a rhombus = $\frac{1}{2}(\text{Diagonal 1})(\text{Diagonal 2})$

From the graph attached,

Diagonal 1 = Distance between the points A and C

Diagonal 2 = Distance between the points B and D

Length of a segment between (x₁, y₁) and (x₂, y₂) = $\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 }$

Diagonal 1 (AC) = $\sqrt{(4-0)^2+(-1+1)^2}$ = 4 units

Diagonal 2(BD) = $\sqrt{(2-2)^2+(3+5)^2}$ = 8 units

Now area of the rhombus ABCD = $\frac{1}{2}(\text{AC})(\text{BD})$

= $\frac{1}{2}\times 4\times 8$

= 16 units²

Therefore, area of the given rhombus is 16 units².

5 0

2 years ago

Classify the triangle by it's angels and sides. Explain how you knew which classifications to use. 8, 70 degrees, 11, 45 degrees

anzhelika [568]

The angles degrees are all less than 90 degrees. Therefore the triangle is an acute triangle

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2 years ago

Avery goes out to lunch. The bill, before tax and tip, was $9.80. A sales tax of 6% was added on. Avery tipped 19% on the amount

love history [14]

Answer:

12.36

Step-by-step explanation:

price x sales tax rate =sales tax

9.80 x .06=sales tax

.59=sales tax

price + sales tax=price with sales tax included

9.80+.59=10.39

price with sales tax x tip percentage=tip amount

10.39 x .19=1.97

price with sales tax + tip = total amount

10.39+1.97=12.36

5 0

2 years ago