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ss7ja [257]
3 years ago
10

Line MN passes through points M4, 3) and M7, 12). If the equation of the line is written in slope-intercept form, y-mx+ b, what

is the value of b?
Mathematics
1 answer:
Butoxors [25]3 years ago
4 0

Answer:

<h2>b = -9</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points M(4, 3) and N(7, 12). Substitute:

m=\dfrac{12-3}{7-4}=\dfrac{9}{3}=3

Therefore we have the equation:

y=3x+b

Put the coordinates of the point M to the equation:

3=3(4)+b

3=12+b            <em>subtract 12 from both sides</em>

-9=b

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4 0
3 years ago
I need to know how to solve this equation for x
mel-nik [20]
I hope this helps. X is equal to 4 and -9

5 0
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If the range of the function y = f(x) is {y | y ≥ 11, y ∈ R}, then the range of the new function g(x) = f(x + 2) - 3 is
mafiozo [28]

Answer:

y ≥ 8

Explanation:

Note that if f(x) is transformed into f(x + a) - b

The original functions is shifted a units to the left and b units downward.

Horizontal shifting will not affect the range of the function, only vertical shifting will change its range.

From the given, g(x) is the transformation of f(x) with

g(x)=f(x+2)-3_{}

f(x) is shifted 2 units to the left and 3 units downward, we will disregard the horizontal shifting.

Since f(x) has a range of y ≥ 11, and g(x) is 3 units downward, the range will also move 3 units downward.

y ≥ 11 - 3

The answer is y ≥ 8

3 0
1 year ago
What is the value of the function y<br> 2x – 3 when x = -5?<br> A -5<br> B -1<br> C 2<br> D 3
aleksklad [387]

Answer:

The answer is -1 (B)

5 0
2 years ago
Read 2 more answers
Could 1.5, 2.5, 3.5 and 6, 10, 12 be the corresponding sides of two similar triangles
boyakko [2]

Answer:

No

Step-by-step explanation:

If the ratios of the corresponding sides are equal then they would be the sides of 2 similar triangles.

Calculate the ratio of corresponding sides.

\frac{6}{1.5} = 4

\frac{10}{2.5} = 4

\frac{12}{3.5} ≠ 4

Thus the sides are not the corresponding sides of similar triangles.

4 0
3 years ago
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