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r-ruslan [8.4K]
3 years ago
11

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of y plus StartFraction one-hal

f EndFraction equals 3 left-parenthesis x minus 2 right-parenthesis.?
Mathematics
2 answers:
inn [45]3 years ago
7 0

Answer:

y-2=3(x-3)

Step-by-step explanation:

We want to write the equation of a line in point-slope form.

This is given by:

y-y_1=m(x-x_1)

We have that line passes through (3,2).

Assuming the line has a slope of m=3, then the equation in point slope form is:

y-2=3(x-3).

RoseWind [281]3 years ago
5 0

Answer:

b

Step-by-step explanation:

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a student claims that 8 to the third power times 8 to the -5 power is greater than 1 explain whether the student is correct or n
nika2105 [10]
I think he is not correct because there is negative number so it can't be greater than one
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3 years ago
Triangle ABC is shown BCD=30 D is a point on side AC such that BD=DA=AB prove that AD =DC
maw [93]

Answer:

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these
ANEK [815]

Answer:

The correct option is;

∠A ≅ ∠X

Step-by-step explanation:

The given coordinates of the points of triangle ACB are;

A(-4, 4), C(-1, 3), B(-4, 0)

The given coordinates of the points of triangle XYZ are;

X(0, 8), Y(8, 8), Z(6, 2), therefore, we have

The length. l. of segment is given by the following formula;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

For the length of the segment AC; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-1, 3), l = √(10)

For the length of the segment AB; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-4, 0), l = 4

For the length of the segment BC; (x₁, y₁) = (-4, 0), (x₂, y₂) = (-1, 3), l = 3·√2

For the length of the segment XY; (x₁, y₁) = (0, 8), (x₂, y₂) = (8, 8), l = 8

For the length of the segment XZ; (x₁, y₁) = (0, 8), (x₂, y₂) = (6, 2), l = 6·√2

For the length of the segment ZY; (x₁, y₁) = (6, 2), (x₂, y₂) = (8, 8), l = 2·√(10

Therefore;

XY ~ AB, XZ ~ BC, ZY ~ AC

Which gives;

∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z

8 0
3 years ago
Read 2 more answers
A number written in the form a + bi is called a _____ number.
postnew [5]
The answer is complex number

a complex number is 2 parts
1. the real part
2. the imaginary part

the real part is the 'a' part of the a+bi
the imaginary part is the 'bi' part of the a+bi

answer is A
(B means exponent is no higher than 1, C means exponent is 2, D means b^2-4ac)

answer is A
5 0
3 years ago
Question
AlekseyPX

Answer:

The population mean is 5 volts

Step-by-step explanation:

Output voltage is assumed to be normally distributed, with standard deviation 0.25 Volts

s=0.25

n = 8

H_0:\mu = 5\\H_a:\mu \neq 5

Sample mean = \bar{x}=4.85

Since n < 30 and population standard deviation is unknown

So, we will use t test

Formula : t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}

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t=-1.69

Refer the t table for p value

Degree of freedom = n-1 = 8-1 = 7

So,t_{(df,\alpha)}=t_{7,0.05}=2.365

P value >α

So, We are failed to reject null hypothesis

Hence The population mean is 5 volts

7 0
3 years ago
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