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oee [108]
2 years ago
7

What is a equation of the line that passes through the point (−5,7) and is parallel to the line x+5y=10

Mathematics
2 answers:
kifflom [539]2 years ago
7 0

Answer:

7=-1/5x+6 is the answer

dsp732 years ago
5 0

Answer:

\displaystyle y = -\frac{1}{5} x +6

Step-by-step explanation:

<u>Equation of a LIne</u>

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

We are required to find the equation of a line that passes through the point (-5,7) and is parallel to the line x+5y=10.

This information provides us the values of h=-5 and k=7. We now need to determine the value of the slope.

Two parallel lines have equal values for the slopes. The equation of the line

x + 5y = 10

Can be rearranged in such a way we can find its slope. Let's solve it for y:

5y = -x + 10

y = -\frac{1}{5}+2

The slope of this line is -1/5 and that is the same value of the slope of our line, thus its equation is:

\displaystyle y - 7 = -\frac{1}{5} ( x + 5 )

Adding 7:

\displaystyle y = -\frac{1}{5} ( x + 5 )+7

Operating:

\displaystyle y = -\frac{1}{5} x + -\frac{1}{5}*5 +7

\displaystyle y = -\frac{1}{5} x -1+7

\boxed{\displaystyle y = -\frac{1}{5} x +6}

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Which expdession is equivalent to 4-2(3x-5)​
GalinKa [24]

Answer:

4

Step-by-step explanation:

Your answer would be 0 because you have to subtract 3 by 5 you get the answer 2. Then you subtract 4 by 2 and you 2. After that you multiply 2 by 2 getting the answer 4.

7 0
3 years ago
Who could help me on the last part
anyanavicka [17]

Step-by-step explanation:

X^a times X^b = X^a + b

so 4x times 6x = 24x^(1+1)

6 0
3 years ago
What is the radius of a sphere if its surface area is 2,122.64 square inches? (Use 3.14 for π.) 11 in. 13 in. 121 in. 169 in.
crimeas [40]
To solve this, we are going to use the surface are of a sphere formula: A=4 \pi r^2
where
A is the surface area of the sphere 
r is the radius of the sphere 

We know for our problem that A=2122.64 and \pi =3.14, so lets replace those vales in our formula:
A=4 \pi r^2
2122.64=4(3.14)r^2
2122.64=12.56r^2
Now, we just need to solve our equation for r:
\frac{2122.64}{12.56} =r^2
r^2=\frac{2122.64}{12.56}
r^2=169
r=+or- \sqrt{169}
r=13 or r=13
Since the radius of a sphere cannot be a negative number, r=13.

We can conclude that the radius of a sphere with surface area <span>2,122.64 </span>in^2 is 13 in.
3 0
3 years ago
Problem is Sin38-cos52
Paha777 [63]
Notice that 38 and 52 make a total of 90
sinA=cos(90-A)
sin38=cos52, therefore the answer is zero
3 0
3 years ago
a theater is designed with 15 seats in the first row, 19 in the second, 23 in the third, and so on. if this seating pattern cont
marusya05 [52]

Answer:

<u>131 seats</u> are in the 30th row.

Step-by-step explanation:

The theater is designed with the first row there are 15 seats, in second row 19 seats and in the third row there are 23 seats.

Now, to find the number of seats in the 30th row.

So, we get the common difference(d) from the arithmetic sequence first:

19-15=4.

Thus, d=4.

So, the first tem a(1) = 15.

The number of last row (n) = 30.

Now, to get the number of seat in the 30th row we put formula:

a(n) = a(1) + d(n-1)

a(30)=15+4(30-1)

a(30)=15+4\times 29

a(30)=15+116

a(30)=131

Therefore, 131 seats are in the 30th row.

4 0
3 years ago
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