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sashaice [31]
3 years ago
7

If a line has a slope of 1/2 and a y-intercept of -6, what is the x-coordinate if the y-coordinate is 4

Mathematics
2 answers:
ivanzaharov [21]3 years ago
7 0

Answer:

X=20. Our x coordinate is 20.

Step-by-step explanation:

Based from the given slope of 1/2 and a y-intercept of -6, our equation of a line is y=x/2 -6. To remove the fraction we can multiply the equation by 2 to get 2y=x-12. Using this substitute the value of y coordinate 4.

2(4)= x-12

8+12 =x

X=20.

sveta [45]3 years ago
4 0

Answer:

20

Step-by-step explanation:

since the line has a slope of 1/2, the x coefficient of the line is 1/2. Since the y intercept is -6, we have the equation of the line

x/2 - 6 = y

Since in this case y = 4, we have

x/2 - 6 = 4

x/2      = 10

x          = 20

So the x coordinate is 20 when the y coordinate is 4.

Hope it helps and if it does, please mark me brainliest...

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lara31 [8.8K]

Answer:

z = 1

Step-by-step explanation:

90/15 = 6/z

Cross Multiply

15 * 6 = 90 * z

90 = 90z

Divide both sides of the equation by 90

z = 1

Hope this was useful to you!

3 0
2 years ago
Can anyone help solve question3 the (ii) and the question2 match the following
Trava [24]

Answer:

2.

i) (c)

ii) (d)

iii) (b)

iv) (a)

3.

ii)  80°

Step-by-step explanation:

2.

i) 2x+x+3x=180°

x=30°

ii) x+110=180

x=70

iii) x+2x+30°=180

x=50°

iv) 2x+15°+45°+x=180

3x+60°=180

x=40°

3.

ii) 2x+5+25=180°

2x+30°=180°

x=75°

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3 0
3 years ago
20 people applied for a job. Everyone either has a school certificate or diploma or even both. If 14 have school certificates an
STatiana [176]

Given:

Either has a school certificate or diploma or even both = 20 people

Having school certificates = 14

Having diplomas = 11

To find:

The number of people who have a school certificate only.

Solution:

Let A be the set of people who have school certificates and B be the set of people who have diplomas.

According to the given information, we have

n(A)=14

n(B)=11

n(A\cup B)=20

We know that,

n(A\cup B)=n(A)+n(B)-n(A\cap B)

20=14+11-n(A\cap B)

20=25-n(A\cap B)

Subtract both sides by 25.

20-25=-n(A\cap B)

-5=-n(A\cap B)

5=n(A\cap B)

We need to find the number of people who have a school certificate only, i.e. n(A\cap B').

n(A\cap B')=n(A)-n(A\cap B)

n(A\cap B')=14-5

n(A\cap B')=9

Therefore, 9 people have a school certificate only.

3 0
2 years ago
Here are the numbers of children in 12 elementary school classes.
ludmilkaskok [199]

Answer:

18, 19(which has two) 20(has two)

Step-by-step explanation:

Just find the ones that appear more than one time.

5 0
2 years ago
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Write a real world situation to explain the inequality -$25 < $7
Elodia [21]
Sara's bank account has a debt of $25. Sofia's bank account has a balance of $7. Who has more money in their bank account? Write an inequality explaining the answer.
8 0
3 years ago
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