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garik1379 [7]
3 years ago
10

What is the equation of the line, in slope-intercept form, passing through (0,7) and parallel to y=3x−5?

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
8 0
Well, if a line is parallel to another, they share the same slope. Why that is, I can further explain in the comments if you're interested. Anyway, because we know this line is parallel to 3x-5, it MUST have a slope of 3, since that is the slope of the other line. So you can go ahead and mark out those last 3 answers. You could also mark out the first one since it's the EXACT SAME line as the one were given, so it wouldn't be parallel, it would just be equal to it. So we know the answer has to be B. What if A wasn't the same as the line given though? in that case, we could look at the point you're given. it describes the y intercept of our unknown line, since the point occurs at x=0. If that doesn't make sense, let me know and I can elaborate on why that is. Anyway, if we're looking at the general form of a line, y = mx + b, b describes the y value at which the y-intercept occurs. the y intercept were given occurs at y= 7, so the b value of our line must be 7. This agrees with answer B.

Hope that helps, and let me know if you have any questions! :)
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kati45 [8]

Answer:

Sin A = o/h

= 9/41

Step-by-step explanation:

since Sin is equal to opposite over hypotenuse, from the question, the opposite angle of A is 9 and hypotenuse angle of A is 41. Thus the answer for Sin A= 9/41

6 0
3 years ago
The graph of function f is shown. Function g is represented by the table. Which statement correctly compares the two functions?
Dafna1 [17]

Answer:

Option (A)

Step-by-step explanation:

Graph of function 'f' represents,

x - intercept of the function 'f' → (1, 0)

y - intercept of the function → (0, 6)

As x-approaches ∞, value of the function approaches (-2)

Points in the given table is for the another function 'g'

x - intercept of the function 'g' → (1, 0) [For x - intercept, y = 0]

y - intercept of the function 'g' → (0, 3) [For y - intercept, x = 0]

As x approaches ∞, value of function 'g' approaches (-1).

Therefore, x - intercepts of both the functions are same but end behavior are different when x → ∞.

Option (A) will be the answer.

7 0
3 years ago
What are the slope and y-intercept of the graph of this equation?
schepotkina [342]

Answer:

slope = y = 1/2

y-intercept = b = -3

Step-by-step explanation:

slope intercept equation:

y = mx + b----->(equation 1)

m is slope

b is y-intercept

y = 1/2x - 3----->(equation 2)

Compare (equation 1) and (equation 1)

slope = y = 1/2

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3 0
3 years ago
Suzanne bought 6 paint sets. Each set contains the same number of brushes. She has 18 brushes. Write and solve an equation to de
PSYCHO15rus [73]

Answer:

3

Step-by-step explanation:

Given that:

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As each set contains the same number of brushes.

Let x be the number of brushes each set contains.

So, the total number of brushes in 6 sets = 6x.

It is given that the total number of brushes she has is 18, which is equals to 6x.

So, the required equation is

6x=18

\Rightarrow x=\frac {18}{6}

\Rightarrow x=3.

Hence, the number of paint brushes each set contains is 3.

4 0
3 years ago
Fifteen times the square of a non-zero number is equal to 12 times the number. whats the number?
Fofino [41]
15x^2 = 12x
divide each side by x
15x = 12
now divide each side by 15
x = 12/15 or 4/5 which is also 0.8
4 0
3 years ago
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