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jekas [21]
3 years ago
6

The equation of the line that goes through the point (−10,8) and (−3,-4) can be written in the form y=mx+b

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
8 0

Answer:

m is -12/7 and b is -64/7

Step-by-step explanation:

Use rise over run (change in y / change in x) to find the slope, m:

(-4 - 8) / (-3 + 10)

= -12/7

So, m is -12/7.

Plug in this value and a point into y = mx + b, then solve for b:

y = mx + b

-4 = -12/7(-3) + b

-4 = 36/7 + b

-64/7 = b

So, m is -12/7 and b is -64/7

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A circle with radius 3 has a sector with a central angle of 60.<br> What is the area of the sector?
CaHeK987 [17]

Answer:

Sector area = (central angle / 360) * PI * radius^2

Sector area = (1/6) * PI * 3^2

Sector area = 9/6 * PI

Sector area = 4.7123889804

Step-by-step explanation:

6 0
3 years ago
Kaylee invested $910 in an account paying an interest rate of 2.6% compounded
Nikitich [7]

Answer:

$1,179

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, lets change 2.6% into a decimal:

2.6% -> \frac{2.6}{100} -> 0.026

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

A=910(1+\frac{0.026}{4})^{4(10)}

A=1,179.21

The account balance after 10 years will be $1,179

8 0
3 years ago
The x3 was supposed to be an exponent not 3x
mote1985 [20]

Answer:

The value of x is 2\sqrt[3]{2}

Step-by-step explanation:

We are given 2+x^3=18

We need to solve for x

First we subtract 2 both sides

x^3=18-2=16

Taking cube roots both sides to isolate x

x=\sqrt[3]{16}

Simplify the radical

x=2\sqrt[3]{2}

Thus, The value of x is 2\sqrt[3]{2}

8 0
3 years ago
water is piped from a dam to a town 24 km away using pipes each 8m long. How many pipes will be needed?
sineoko [7]
A = cross sectional area of the pipe. When the pressure is expressed in terms of the equivalent height of a column of that fluid, as is common with water, the friction loss is expressed as S, the "head loss" per length of pipe, a dimensionless quantity also known as the hydraulic slope.
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3 years ago
Hiiii please help ASAP I really need this :)))) please I’m praying somebody helps and gives a correct answer
Sauron [17]

Answer:

1.25

Step-by-step explanation:

100 divided by 4 = 25

60 divided by 4 = 15

30 divided by 4 = 7.5

5 divided by 4 = 1.25

3 0
3 years ago
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