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kirill115 [55]
3 years ago
5

Complete the equation of the line through (4,-8) and (8,5).

Mathematics
1 answer:
Alisiya [41]3 years ago
5 0
Slope = (5+8)/(8-4) = 13/4

y = mx + b
b= y  - mx
b = -8 - (13/4) (4)
b = -8 -13
b = -21

equation
y = 13/4x - 21
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Which expression is equivalent to -2 1/4÷ (-2/3)​
Talja [164]

Answer:

-2\dfrac{1}{4}\div\left(-\dfrac{2}{3}\right)=\dfrac{27}{8}=3\dfrac{3}{8}}

Step-by-step explanation:

-2\dfrac{1}{4}\div\left(-\dfrac{2}{3}\right)\qquad\text{the quotient of two negative numbers is positive}\\\\=2\dfrac{1}{4}\div\dfrac{2}{3}\qquad\text{convert the mixed number to the improper fraction}\\\\=\dfrac{2\cdot4+1}{4}\div\dfrac{2}{3}=\dfrac{9}{4}\div\dfrac{2}{3}\\\\\text{dividing by a fraction is the same as multiplying by its reciprocal.}\\\\=\dfrac{9}{4}\cdot\dfrac{3}{2}=\dfrac{9\cdot3}{4\cdot2}=\dfrac{27}{8}\qquad\text{convert to the mixed number}\\\\=3\dfrac{3}{8}

3 0
3 years ago
Complete the table:
Dafna11 [192]

Answer:

d. 0

Step-by-step explanation:

The table can be interpreted as:

\theta = 0

Required

Find sin(\theta)

sin(\theta)

Substitute: \theta = 0

\sin(\theta) = \sin(0)

Using a calculator

\sin(0) = 0

Hence:

\sin(\theta) = 0

3 0
2 years ago
A sample of n = 4 scores is selected from a population with m = 40 with s = 8, and the sample mean is M = 43. What is the standa
vladimir2022 [97]
Standard error (SE)
se=   \frac{s}{ \sqrt{n} }
Or

se =  \sqrt{ \frac{ {s}^{2} }{n} }

Therefore, SE of the mean = (8)/(2) =4
5 0
2 years ago
What is this property 25x0=0
frozen [14]

Answer:

zero property

Step-by-step explanation:

if it equals zero its zero property

5 0
3 years ago
In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 3x – 1, and HE = 5y + 4. Find the values of x and y.
earnstyle [38]
The diagonals of a parallelogram bisect each other.

DH = HF and GH = HE

x + 5 = 2y
3x - 1 = 5y + 4

Solve the first equation for x.
x = 2y - 5

Now substitute 2y - 5 for x in the second equation.

3(2y - 5) - 1 = 5y + 4

6y - 15 - 1 = 5y + 4

6y - 16 = 5y + 4

y = 20

Now substitute 20 for y in the first original equation.

x + 5 = 2y

x + 5 = 2(20)

x + 5 = 40

x = 35

Answer: x = 35 and y = 20
4 0
3 years ago
Read 2 more answers
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