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damaskus [11]
2 years ago
6

Find the equation of line that goes through coordinates (-4,-2) and (-3,-5) ?

Mathematics
1 answer:
frutty [35]2 years ago
3 0

Answer: y = -3x/7 + 26/7

Step-by-step explanation: Using the "slope-intercept" format, we can set up 2 equations, using the given points.

The format:  y = mx + b, where m is the slope and b is the y-intercept (where x = 0)

To find m and b, we need 2 equations which we get using the 2 given points:

(-3,5):

5 = m(-3) + b  (equation 1)

(4,2):

2 = m(4) + b   (equation 2)

Subtract #2 from #1 to get:

3 = -7m

m = -3/7

Then, using equation 1, find b:

5 = (-3/7)*(-3) + b

b = 5 - 9/7 = 26/7

The equation is then:

y = -3x/7 + 26/7

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Answer:

x= -3     x = 1/2     x=-2

Step-by-step explanation:

f(x)=(x+3) (2x-1)(x+2)

Set equal to zero

0 =(x+3) (2x-1)(x+2)

Using the zero product property

x+3 =0   2x-1 =0    x+2 =0

x= -3    2x =1       x = -2

x= -3     x = 1/2     x=-2

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3 years ago
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The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is \sqrt[3]{}(x¹³)

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(x²/x⁻¹¹)¹/₃

Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:

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(x⁽²⁺¹¹⁾)¹/₃

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Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:

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As we have a fractional exponent, you must convert the exponent to root:

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<h3>What is an exponent?</h3>

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

Learn more about exponent at: brainly.com/question/847241

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8 0
1 year ago
Tina and Tracey are putting 70 things from their present lives into a few boxes, and they are going to bury the boxes so they ca
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number of full boxes is 2

things left over is 10

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Step-by-step explanation:

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t(×)=3×

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(s o t)(-7) =2-9(-7)^2=2-9(49)= 2-441= -439

7 0
3 years ago
A class has 4 boys and 10 girls. What is the ratio in simplest form that compares number of boys to total number of students?
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C. The answer is C because the total amount of students is 14, and there are 4 boys, which makes the ratio 4 boys to 14 students in total. 4 and 14 are both divisable by 2, so divide 4 to get 2 and divide 14 to get 7. This leaves you with 2 and 7. The ratio would be 2 boys to 7 total students. Hope this helped

4 0
4 years ago
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