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Vlad1618 [11]
3 years ago
5

What is the slope and the y-intercept of the line 12x+2y=-60

Mathematics
1 answer:
aivan3 [116]3 years ago
8 0

Answer:

The slope is -6 and the y intercept is (0, -30)

Step-by-step explanation:

Rearrange the equation into y = mx + b form, where m is the slope and b is the y intercept:

12x + 2y = -60

Subtract 12x from both sides:

2y = -12x - 60

Divide each side by 2:

y = -6x - 30

So, the equation in slope intercept form is y = -6x - 30

The slope is -6 and the y intercept is (0, -30)

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. If two polygons are similar how can you find the scale factor from one polygon to the other?
gayaneshka [121]

If two polygons are similar, then the ratio of a side-length of one of them
to the length of the corresponding side of the other one is the same number
for every pair of sides.  All you need to do is find one pair of corresponding
sides, then find the ratio of their lengths, and there's your scale factor.

3 0
3 years ago
the school bus stops at randys house at 8:15 AM randy arrived at the bus stop a quarter after 8 did rany mis the bus
ASHA 777 [7]
No, he made it right on time because a quarter past 8:00 is 8:15. 
7 0
3 years ago
Read 2 more answers
Could you help me with this. <br><br> Express in simplest radical form.<br> 162<br><br> ​
Ivanshal [37]

Answer:

The square root of 162 in its simplest form means to get the number 162 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 162 like this:

√162

The largest perfect square of the factors of 162 is 81. We can therefore convert √162 like this:

√81 × 2

Next, we separate the numbers inside the √ as such:

√81 × √2

√81 is a perfect square that equals 9. We can therefore put 9 outside the radical and get the final answer to square root of 162 in simplest radical form as follows:

9√2

Step-by-step explanation:

7 0
3 years ago
ITS TIMED PLEASE HELP​
Lubov Fominskaja [6]

Answer:

The graph of the function f(x)=\frac{1}{2}x^{2}-4x+5 has a minimum located at (4,-3)

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

f(x)=a(x-h)^{2}+k

where

a is a coefficient

(h,k) is the vertex of the parabola

If a > 0 the parabola open upward and the vertex is a minimum

If a < 0 the parabola open downward and the vertex is a maximum

In this problem

The coefficient a must be positive, because we need to find a minimum

therefore

Check the option C and the option D

Option C

we have

f(x)=\frac{1}{2}x^{2}-4x+5

Convert to vertex form

f(x)-5=\frac{1}{2}x^{2}-4x

Factor the leading coefficient

f(x)-5=\frac{1}{2}(x^{2}-8x)

f(x)-5+8=\frac{1}{2}(x^{2}-8x+16)

f(x)+3=\frac{1}{2}(x^{2}-8x+16)

f(x)+3=\frac{1}{2}(x-4)^{2}

f(x)=\frac{1}{2}(x-4)^{2}-3

The vertex is the point (4,-3) ( is a minimum)

therefore

The graph of the function f(x)=\frac{1}{2}x^{2}-4x+5 has a minimum located at (4,-3)

5 0
4 years ago
60 is 80% of what number
alexdok [17]
60 = .8 × x
(60 = .8 × x) ÷ .8
75 = x

60 is 80% of 75.
8 0
4 years ago
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