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EastWind [94]
2 years ago
6

The lines graphed below are parallel.The slope of the red line is-4/3. What is the slope of the green line?​

Mathematics
2 answers:
Dvinal [7]2 years ago
7 0

Answer:

-4/3

Step-by-step explanation:

You know that parallel lines have the same slope. So, if both lines are parallel, then they must have the same slope.

Kamila [148]2 years ago
3 0

Answer:

-4/3

Step-by-step explanation:

A line thats parallel with a line with a slope -4/3 will have the same slope because it is parallel so it has the same the degree of tilt/slope

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What is the value of y ?
Dmitry [639]

Answer:

6

Step-by-step explanation:

Chords within a circle are proportional. Proportional means that they form equal ratios. To solve for y, set up a proportion.

The ratios we will create will be \frac{long}{short} =\frac{long}{short} where each long and short form an angle.

So write:

\frac{12}{8} =\frac{y}{4}

To solve, cross multiply numerator with denominator.

12(4) = 8(y)

48=8y

6=y


4 0
3 years ago
A circle has its center at (-1, 2) and a radius of 3 units. What is the equation of the circle? (1 point) (x - 1)2 + (y + 2)2 =
Nina [5.8K]

Answer:

(x + 1)^2 + (y - 2)^2 = 3^2 = 9

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.

Here, h = -1, k = 2 and r = 3, so the equation of this particular circle is

(x + 1)^2 + (y - 2)^2 = 3^2 = 9.

8 0
3 years ago
Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point.
Serga [27]

Answer:

(8,-3)

Step-by-step explanation:

The given parabola is

y =  - 3 {x}^{2}  + 48x  - 195

We factor -3 from the first two terms to get:

y =  - 3( {x}^{2}   - 16x)  - 195

Add and subtract the square of half the coefficient of x

y =  - 3( {x}^{2}   - 16x + 64)   + 3 \times 64- 195

y =  - 3 {(x - 8)}^{2}  + 192 - 195

We simplify to get:

y =  - 3 {(x - 8)}^{2}  - 3

We compare this to y=a(x-h)²+k,

The vertex is (h,k)=(8,-3)

3 0
3 years ago
The surface areas of two similar solids are 340 yd² and 1,158 yd². The volume of the larger solid is 1,712 yd³. What is the volu
ratelena [41]

The ratio of surface area is equal to the ratio of the square of the corresponding dimensions. And ratio of volumes of two solids is equal to the cube of the ratio of the corresponding dimensions .

We start with the relation between ratio of surface area and ratio of corresponding sides. That is

\frac{340}{1158}=(\frac{x}{y} )^2

Here x and y are the corresponding sides .

\frac{x}{y} =\sqrt{\frac{340}{1158} } =0.542

Let the volume of the smaller one be v

\frac{v}{1712}=0.542^3

v=1712*0.542^3=272

So for the smaller solid, volume is 272 . And the correct option is the first option .

4 0
3 years ago
What is 20% of 50 (show work)
seraphim [82]
X/50 = 20/100 

its takes adding 30 to 20 to get to 50 so add 30 to 100 then its 130/100 (130 over 100) and then divide that and its 13 = 13%

i think its right dont hold it against me if im wrong

8 0
3 years ago
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