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mihalych1998 [28]
3 years ago
13

a line goes through the point(6,-2)and has a slope of -3 what is the value of a if the point (a,7) lies on the line​

Mathematics
2 answers:
sveta [45]3 years ago
6 0

Answer:

a= 3

Step-by-step explanation:

:)

yaroslaw [1]3 years ago
3 0

Answer:

The value of a is "3", to complete the coordinate point (3,7) on the line.

Step-by-step explanation:

We are given the slope of the line, and also one point through which the line passes. Therefore, we can find the actual equation of the line by using the slope-point form of the line:

y-y_0=m(x-x_0)\\y-(-2)=(-3)(x-6)\\y+2=-3x+18\\y=-3x+18-2\\y=-3x+16

Now, we need to find which value of "x" renders a y-value of "7", to complete the coordinate pair (a, 7) as requested. Therefore, we ask for the y-value in the previous equation to be "7", and solve for its associated x-value:

y=-3x+16\\7=-3x+16\\7-16=-3x\\-9=-3x\\x=\frac{-9}{-3} \\x=3

Therefore, x = 3

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Find the volume of a 2by2​
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Answer:

24

Step-by-step explanation:

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2 years ago
What is the y-intercept of y = 5x - 1?​
Serhud [2]

Answer:

Given Equation: y=5x-1

as we know that the y intercept have, x coordinate(absicasse) equal to 0

so,put x=0 to get y intercept

i.e, y =5×0 -1

i.e, y= <em><u>-</u></em><em><u>1</u></em>

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3 years ago
each time kim pour water from a jug into a glass, exactly 10% of the water remaining in the jug is used. What is the minimum num
Gnoma [55]

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

At least 7 times.

Explanation:

Since 10% of the water in the jug is removed each time, this means that 100-10=90% of the water remains.

After two times, we would have 0.9(0.9) = 0.81 = 81% of the water; each time she pours, the number of times 0.9 is multiplied by itself changes.  This makes this an exponential inequality (it is not an equation, as we want "less than half of the water"):

0.5 < 0.9^x

To solve this, we will use logarithms:

\log_{0.9}(0.5)

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3 years ago
Vector V is in standard position and makes an angle of 50° with the positive x-axis. Its magnitude is 18. Write V in component f
Umnica [9.8K]

Answer:

11.57 units east, 13.79 units upwards

11.57i + 13.79j

Step-by-step explanation:

V = 18 units at an angle of 50° to the positive x-axis

In component Form, this is how each component is calculated

a = 18cos50° = 11.57 units east

b = 18sin50° = 13.79 units upwards

check if your answer is correct

\sqrt{11.57^{2} +13.79^{2} } = 18.0

In vector component form ai + bj = 11.57i + 13.79j

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Double the difference of 25 and 10 is
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Answer:

30

Step-by-step explanation:

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Read 2 more answers
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