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svetoff [14.1K]
2 years ago
8

Write a linear equation in the form y=mx+b

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
6 0
Y = -2x - 3

When I put this into y2-y1/x2-x1 (equation to find slope) I did the coordinate pairs (3,-9) and (4,-11). When you plug it in it’s -11+9/4-3. This gets you -2/1, which is -2. That’s your slope. Then, in order to get the y-intercept, you can use any of those pairs. I did -9 = 3(-2) + b. -9=-6 + b and in the end this gets you -3 = b. So the full equation is y = -2x - 3.
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Which pair of adjacent angles is complementary?
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<h3>part d is pair of adjacent angle is supplementary </h3>

  • because the angle are complementary and common vertex so it is adjacent Two complementary angles with a common vertex and arm are called adjacent complementary angles

hope it's helpful thanks

8 0
2 years ago
Katie uses 2 cups of carrots in a casserole that serves 12 people. how many cups of carrots will she use to server 18 people?
dmitriy555 [2]

Answer:

3 cups

Step-by-step explanation:

2/12 = 1/6

1/6 * 3 = 3/18

3 out of 18 cups, so 3 cups.

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32 is 90% of what number?
spayn [35]

Answer:

\large\boxed{32\ is\ 90\%\ of\ 35\dfrac{5}{9}}

Step-by-step explanation:

<h3>METHOD 1:</h3>

\begin{array}{ccc}32&-&90\%\\\\x&-&100\%\end{array}\qquad\text{cross multiply}\\\\\\90x=3200\qquad\text{divide both sides by 90}\\\\x=\dfrac{3200}{90}\\\\x=\dfrac{320}{9}\\\\x=35\dfrac{5}{9}

<h3>METHOD 2:</h3>

\begin{array}{cccc}32&-&90\%&\text{divide both sides by 9}\\\\\dfrac{32}{9}&-&10\%\end{array}\\\\\\90\%+10\%=100\%\to32+\dfrac{32}{9}=32+3\dfrac{5}{9}=35\dfrac{5}{9}

3 0
2 years ago
A pyramid with a slant height 4.6 in whose triangular base measures 8 in on each side.Each altitude of the base measures of 6.9
kvasek [131]

Answer:

82.8 in²

Step-by-step explanation:

The surface area a triangular based pyramid :

Base area + 1/2(perimeter * slant height)

Base = 8 inches ; Slant height = 4.6 inches ; altitude of base measure = 6.9 inches

Base area of triangle :

1/2 * base * height

1/2 * 8 * 6.9

4 * 6.9

Base area = 27.6 in²

The perimeter, P = sum of sides ; (s1 + s2 + s3

P = 8 + 8 + 8 = 24 in

Hence,

Surface area = 27.6 in² + 1/2(24*4.6)

Surface area = 27.6 in² + (12 * 4.6) in²

Surface area = (27.6 + 55.2)

Surface area = 82.8 in²

6 0
3 years ago
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