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Tom [10]
3 years ago
13

Find the equation of the line. Write the equation using function notation. Through (-3,-9); parellel to 5x+3y=8

Mathematics
1 answer:
mihalych1998 [28]3 years ago
3 0

Answer:

The equation of a parallel line in point-slope form would be f(x) = -5/3x - 14

Step-by-step explanation:

To find this, we must first find the slope of the original line. We can do this by solving for y.

5x + 3y = 8

3y = -5x + 8

y = -5/3x + 8/3

Now that we have the slope of the original line, we can use the point and slope and put them into the base form of point-slope form. Then we solve for y to get the final result.

y - y1 = m(x - x1)

y + 9 = -5/3(x + 3)

y + 9 = -5/3x - 5

y = -5/3x - 14

Then to get the function notation, we need to replace the y with f(x).

f(x) = -5/3x - 14

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To find the box on the bottom right, we can multiply the sides like rectangles again. To find the bottom right box, we can multiply 24x and 3 to get 72x.

6 0
4 years ago
you deposit $7,900 in a money-market account that pays an annual interest rate of 4.3%. the interest is compounded quarterly. ho
Sladkaya [172]
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4 0
3 years ago
b) 7 of these cuboids of side 3 cm are put together to make this shape. Find the surface area of this shape. (3) Total marks: 5
valentina_108 [34]

Answer:  504 cm^2

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6 0
2 years ago
Find the value of r (r,6) and (4,8) m=2
liubo4ka [24]
M is the slope, so, y=mx or y=2x. If y is 8 then x is 4.






y=6 x=r



6÷2=3, so r=3.

hope this helps and sorry if it got confusing.
6 0
4 years ago
Find the values of the six trigonometric functions of theta with the given constraint.
Evgesh-ka [11]

Answer:

The six trig ratios at 3pi/2 are:

sin(3pi/2)=-1

cos(3pi/2)=0

tan(3pi/2) (undefined)

csc(3pi/2)=-1

sec(3pi/2) (undefined)

cot(3pi/2)=0

Step-by-step explanation:

If tangent is undefined then cosine would have to be 0 given that tangent is the ratio of sine to cosine.

cosine is 0 at pi/2 and 3pi/2 in the first rotation of the unit circle.

3pi/2 satisfies the given constraint.

The six trig ratios are therefore:

sin(3pi/2)=-1

cos(3pi/2)=0

tan(3pi/2)=-1/0 (undefined)

Reciprocal values:

csc(3pi/2)=-1

sec(3pi/2) undefined since cos(3pi/2)=0

cot(3pi/2)=0/-1=0

4 0
3 years ago
Read 2 more answers
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