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scZoUnD [109]
3 years ago
13

Scale factor of Q and P 1:3

Mathematics
1 answer:
kolezko [41]3 years ago
3 0
X = 12 and Y = 3.
I multiplied 4 times 3 since the ratio was 1:3. And 3 times 3 is 9.
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Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form. (2 points) a y = 3x − 7 b y = 3x
sashaice [31]

Answer: y = 5x − 11

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (3,4) and (2, -1),

y2 = - 1

y1 = 4

x2 = 2

x1 = 3

Slope,m = (- 1 - 4)/(2 - 3) = - 5/- 1 = 5

To determine the y intercept, we would substitute x = 3, y = 4 and m= 5 into

y = mx + c. It becomes

4 = 5 × 3 + c

4 = 15 + c

c = 4 - 15 = - 11

The equation becomes

y = 5x - 11

8 0
3 years ago
Find f such that the given conditions are satisfiedf’(x)=x-4, f(2)=-1
kicyunya [14]

Given:

f^{\prime}\left(x\right)=x-4,\text{ and}f\left(2\right)=-1

To find:

The correct function.

Explanation:

Let us consider the function given in option D.

f(x)=\frac{x^2}{2}-4x+5

Differentiating with respect to x we get,

\begin{gathered} f^{\prime}(x)=\frac{2x}{2}-4 \\ f^{\prime}(x)=x-4 \end{gathered}

Substituting x = 2 in the function f(x), we get

\begin{gathered} f(2)=\frac{2^2}{2}-4(2)+5 \\ =2-8+5 \\ =-6+5 \\ f(2)=-1 \end{gathered}

Therefore, the given conditions are satisfied.

So, the function is,

f(x)=\frac{x^{2}}{2}-4x+5

Final answer: Option D

6 0
2 years ago
3. 54
enot [183]

Answer:

A

Step-by-step explanation:

7 0
2 years ago
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Please help<br> A) y&lt; 2x+4<br> B) y&lt; 1/2x+3<br> C)y&gt; 1/2x+3<br> D) y&gt; 2x+3
lesya692 [45]

Answer:

B

Step-by-step explanation:

if it is shaded under than it is <

the slope is 1/2x so that is the answer

4 0
3 years ago
15 points! Find the measure of
IrinaVladis [17]

Answer:

94

Step-by-step explanation:

Since the circle equals to 142 degrees you have to subtract the already given  umber (48) by the total amount and it'll give you the missing angle which is 94.

8 0
3 years ago
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