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crimeas [40]
4 years ago
15

Identify an equation in slope-intercept form for the line parallel to y = 5x + 2 that passes through (-6,-1)

Mathematics
1 answer:
ikadub [295]4 years ago
3 0

Answer:

y=5x+29

Step-by-step explanation:

y=mx+b

Since the line is parallel, the slope, m, will be the same.

Use the point provided to find the y-intercept b:

-1=5(-6)+b

-1=-30+b

b=29

Now, we rewrite the equation:

y=5x+29

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Find the output of the function y = x - 4 if the input is 21
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Substitute 21 for x.

y = 21 - 4 = 17
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4 years ago
Can a trapezoid have congruent diagonals?
Maslowich

Answer:

Yes

Step-by-step explanation:

If the the trapezoid is Isosceles, meaning the legs, or the line segments connecting the bases are equal.

5 0
3 years ago
What's the next number 2 7 8 3 12 9
puteri [66]

The <em>correct answer</em> is:

4.

Explanation:

Taking these numbers as groups of three, we have 2, 7, 8; 3, 12, 9.

In the first group, we can see that we first add 5 and then add 1.

The next group seems to start from the next consecutive number. That is, the first group starts with 2, and the next group starts with 3. The next terms in the second group are found by adding 5 to the second term of the first group (12 = 7+5) and then adding 1 to the third term of the first group (9=8+1); this is because we added 5 and added 1 previously.

Following this pattern, the next group of three would start from the next consecutive number up, 4. The next two terms would be 17 (12+5=17) and 10 (9+1=10).

7 0
3 years ago
Read 2 more answers
There are 257 people at a dance performance. Orchestra seats cost $12 and balcony seats cost $8. The total receipts were $2,716.
solniwko [45]

x = # of balcony seats

y = # of orchestra seats

We have to create a system of equations to solve this problem

x + y = 256

$8x + $12y = $2,716

We will solve this system of equations by elimination.

Multiply the first equation by -8

-8x - 8y = -2048

8x + 12y = 2716

Let's add the equations together

0 + 4y = 668

Simplify the left side

4y = 668

Divide both sides by 4

y = 167

We can subtract 167 from 257 to get the number of balcony seats.

257 - 167 = 90 balcony seats

There are 167 orchestra seats and 90 balcony seats

5 0
3 years ago
Which statement is true
weqwewe [10]
The answers are
a) the domain is all real numbers
d) the input to an exponential function is the exponent
e) the base represents the multiplicative rate of change

hope this helps :)
5 0
3 years ago
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