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Allushta [10]
3 years ago
11

Choose the equation below that represents the line that passes through the point (-2, -1) and has a slope of 5 ? A) y - 1 = 5(x

- 2). B) y + 1 = 5(x + 2). C) y + 2 = 5(x + 1). D) y - 2 = 5(x - 1)
Mathematics
2 answers:
taurus [48]3 years ago
4 0
Using the slope and 1 point format:   (y- y₁) = m(x - x₁)  

where m = slope = 5, and point is (x₁, y₁). In this case point (x₁, y₁) = <span>(-2, -1)

</span><span>x₁ = -2,  y₁ = -1
</span>
Using: (y- y₁)<span> = m(x </span><span>- x₁)
</span>
y - -1 = 5(x - -2)

y + 1 = 5(x + 2). 

We can go further but since our options are in that format above, we stop there.

So answer is option B.
Zinaida [17]3 years ago
4 0

Answer:

bbbbbbbbb for sure


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Which is the equation in slope-intercept form for the line that passes through (-2, 15) and is perpendicular to 2x + 3y = 4?
Ilya [14]

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

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Rearrange 2x + 3y = 4 into this form

Subtract 2x from both sides

3y = - 2x + 4 ( divide all terms by 3 )

y = - \frac{2}{3} x + \frac{4}{3} ← in slope- intercept form

with slope m = - \frac{2}{3}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{2}{3} } = \frac{3}{2}, hence

y = \frac{3}{2} x + c ← is the partial equation of the perpendicular line

To find c substitute (- 2, 15) into the partial equation

15 = - 3 + c ⇒ c = 15 + 3 = 18

y = \frac{3}{2} x + 18 → B

4 0
4 years ago
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Amiraneli [1.4K]

Answer:

2 x + y = 1

Step-by-step explanation:

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What is the area of triangle DEF?
FrozenT [24]

Answer:

A=2\sqrt{14}\ units^2

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.  

so

A=\sqrt{s(s-a)(s-b)(s-c)}

where

a, b and c are the length sides of triangle

s is the semi-perimeter of triangle

we have

a=5\ units,b=6\ units,c=3\ units

<em>Find the semi-perimeter s </em>

s=\frac{5+6+3}{2}=7\ units

Find the area of triangle

A=\sqrt{7(7-5)(7-6)(7-3)}

A=\sqrt{7(2)(1)(4)}

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3 0
3 years ago
F(x)=x^3+10x^2+31x+30
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The factors of the given polynomial will be ( x + 2 ), ( x + 5 ) and ( x + 3 ).

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

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The given expression will be solved as:-

f(x) = x³ + 10x² + 31x + 30

f(x) = ( x³ + 7x² + 10x + 3x² + 21x + 30

f(x) = ( x² + 7x + 10 ) ( (x + 3 )

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4÷25times4÷100times4÷4
notsponge [240]

Answer:

0.0064 is your answer

Step-by-step explanation:

because 4÷25 = 0.16 and 4÷100=0.04 and of course 4÷4=1

When the 0.16 and 0.04 that gets 0.0064

3 0
3 years ago
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