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Natasha_Volkova [10]
2 years ago
11

Determine the equation of the line that is parallel to the line 3x-4y-12=0 that passes through the point (-4,-1). Write the equa

tion in slope-intercept form.
Mathematics
1 answer:
brilliants [131]2 years ago
8 0

Answer:

y=(3/4)x+2

Step-by-step explanation:

write the equation in slope-intercept form: y=(3/4)x - 3

since it is parallel the slope is the same so we have y=(3/4)x + b

then plug in the point (-1) = (3/4)(-4) + b

-1 = -3 +b, b=2

y= (3/4)x + 2

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a game is played by drawing 4 cards from a standard playing deck and replacing each card after it is drawn. find the probability
natima [27]
It is a 1 in 13 chance of drawing at least 1 ace. 
8 0
3 years ago
Ben baked brownies in the brownie pan shown below. Each day, he is going to eat 303030 square centimeters of brownie from the pa
luda_lava [24]

Answer:

Option A. 30\ days

Step-by-step explanation:

step 1

Find the area of the brownie pan

The area of the trapezoid is equal to

A=\frac{1}{2}(30+42)(25)=900\ cm^{2}

step 2

To calculate the number of days, divide the total area of the brownie pan by 30 square centimeters of brownie

so

900/30=30\ days

4 0
3 years ago
Read 2 more answers
Complete the square f(x) = x^2 + 4x - 8 <br><br><br> PLZ help me ;c
Semenov [28]
Ok, first group x terms
f(x)=(x²+4x)-8
factor out quadratic coefient (no need but that's the step)
f(x)=1(x²+4x)-8
take 1/2 of the linear coefient and square it
4/2=2, (2)²=4
add positive and negative of it insides the parenthasees
f(x)=1(x²+4x+4-4)-8
factor perfect square
f(x)=1((x+2)²-4)-8
distribute
f(x)=1(x+2)²-4-8
f(x)=1(x+2)²-12
and, now if we wanted to find the x intercepts where f(x)=0 then
0=1(x+2)²-12
12=(x+2)²
+/-2√3=x+2
-2+/-2√3=x

x=-2+2√3 or -2-2√3
that is where the x intercept are

and completed square form is
f(x)=(x+2)²-12
6 0
3 years ago
What is the result of adding these two equations? \begin{aligned} 2x+3y &amp;= -5 \\\\ 5x-y &amp;= -12 \end{aligned} 2x+3y 5x−y
EleoNora [17]

Answer:

7x+2y = -17

Step-by-step explanation:

We have the following equations:

2x+3y = -5

5x-y = -12

If we want to add these equations, we just need to add x-terms, y-terms and independent terms.

(2x+5x)+(3y-y) = -5-12

7x+2y = -17

I hope it helps you!

7 0
3 years ago
Which of the following tables represent functions? If the relation is not a function, indicate why it is not.
Varvara68 [4.7K]

Step-by-step explanation:

1. the table on the left is a function, with the formula : y = x²

2. the table on the right is also a function, indicated by the values of the input are different each others

6 0
3 years ago
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