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Elan Coil [88]
3 years ago
11

For what value is a is (a,9) a solution of the equation y=2x+1

Mathematics
1 answer:
yanalaym [24]3 years ago
7 0

Answer:

a = 4

Step-by-step explanation:

y = 2x + 1 ......(1)

Going through y - y1 = m(x - x1)

m is slope and it is 2

y1 = 9 and x1 = a

y - 9 = 2(x - a)

y - 9 = 2x - 2a

y = 2x - 2a + 9 ........(2)

Equating (1) and (2)

2x + 1 = 2x - 2a + 9

Collecting like terms

2x - 2x + 2a = 9 - 1

2a = 8

a = 8/2

a = 4

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Given the function f(x) = 2|x + 6| -4, for what values of x is f(x) = 6?
photoshop1234 [79]

Answer:

f(x) = 2|x + 6|-4

6=2|x + 6|-4

10= 2|x + 6|

divide by 2

5=|x + 6|

x = 5-6

x = -1

so x should be -1

4 0
4 years ago
PLEASE HELP I WILL GIFT 100 POINTS ASAP Which represents The variable in the following number sentence.
lesya692 [45]

Answer:

I think that would be R

Step-by-step explanation:

A Variable is a symbol for a number we don't know yet. It is usually a letter like x or y. A number on its own is called a Constant.

6 0
3 years ago
last weekend, 5% of the tickets sold at sea world were discount tickets. If sea world sold 60 tickets in all, how many discount
Ronch [10]
The percent proportion is a/b = p/100, where p is the percentage of the total fraction on the left side of the equation that you are trying to figure out.

We know that p=5, because p represents percentage, and the percentage 5% is equal to the fraction 5/100.  Also, we know that 60 = b, or the denominator as this is the entire portion that we are trying to figure out.

a/60=5/100

Now, we need to use cross products, or multiplying the numerator of one fraction by the denominator of the other, and setting them equal to one another.

100 * a = 60 * 5

If we simplify by multiplying, then we get the equation:

100a = 300

When we divide the variable by the coefficient, we get the equation

a=3

Therefore, sea world sold 3 discount tickets.

5 0
3 years ago
A line has a slope of 9. One of the points on the line is (-2, p). Another point on the line is (2, 2p+1). Determine the value o
igomit [66]

As we travel from (-2, p) to (2, 2p+1), x increases by 4 and y increases by p+1.  Note that -2 + 4 = 2 (which is correct), and that p + (p+1) = 2p+1 (which is also correct).                                                        

                                                                           p+1

Thus, the slope of this line is m = rise / run = -------- = 9

                                                                               4


Then p + 1 = 36, and p = 35.

8 0
3 years ago
Select two statements that are true about the equation y+4=-8(x-2)
bezimeni [28]

Answer:

Step-by-step explanation:

y + 4 = -8(x - 2)

I dont know the statements that u have but maybe I can guess one...or two

slope = -8

points used were : (2,-4)

y + 4 = -8(x - 2)

y + 4 = -8x + 16

y = -8x + 16 - 4

y = -8x + 12 ............slope intercept form

8x + y = 12 .......standard form

x intercept = (3/2,0)

y intercept = (0,12)

any of that answer ur question ?

5 0
3 years ago
Read 2 more answers
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