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ankoles [38]
3 years ago
12

Write an equation of a line whose graph is parallel to the graph of y - 3x-10

Mathematics
1 answer:
Mars2501 [29]3 years ago
5 0
So any line will be parallel as long as the slope is the same between the two equations.

y=3x+10

Therefore, the new equation just needs the same slope.

y=3x + # (any number you like)

Ex. y=3x-8 or y=3x+3
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Anyone know this will mark brain.....pic below..
Naddika [18.5K]

Answer:

15x + 30y - 220

Step-by-step explanation:

(30 \times  \frac{1}{2} x ) + (30 \times  - 2) + (40 \times  \frac{3}{4} y )+( 40 \times  - 4)

= 15x - 60 + 30y - 160

= 15x + 30y - 60 - 160 \\  = 15x  + 30y - 220

7 0
3 years ago
onsider the equation 0.5 times e4z =13 solve the equation for z. express the solution as a logarithm in base e
olga_2 [115]

Answer:

z=\frac{ln(26)}{4}

Step-by-step explanation:

The given equation is:

0.5\,e^{4z}=13

so, we first isolate the exponential form that contains the unknown "z" in the exponent, by dividing both sides by 0.5:

0.5\,e^{4z}=13\\e^{4z}=\frac{13}{0.5}\\e^{4z}=26

Now we bring the exponent down by applying the natural log function on both sides, and then solve for "z":

e^{4z}=26\\ln(e^{4z})=ln(26)\\4\,z=ln(26)\\z=\frac{ln(26)}{4}

5 0
4 years ago
2. The oil company wants to transport 27L/min of oil through the pipes. Find the maximum
SVETLANKA909090 [29]

Answer:

2. The oil company wants to transport 27L/min of oil through the pipes. Find the maximum

flow of oil that can flow through the pipes (per minute) to show that this demand cannot

be met. Clearly explain how you have found the maximum flow.

D

2

A

10

4

5

8

F

6

с

17

12

B.

12

G

E

8 0
3 years ago
Solve the equation for x, where x is a real number (5 points): <br> -13x^2 + 17x + 39 = 44
irina1246 [14]
We first subtract 44 from both sides so that the equation becomes -13x^2 + 17x - 5 = 0.
 
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
                     x = [ -b ± √(b^2 - 4ac) ] / (2a)
                     x = [ -17 ± √(17^2 - 4(-13)(-5)) ] / ( 2(-13) )
                     x = [ -17 ± √(289 - (260) ) ] / ( -26 )
                     x = [ -17 ± √(29) ] / ( -26)
                     x = [ -17 ± sqrt(29) ] / ( -26 )
                     x = 17/26 ± -sqrt(29)/26
The answers are 17/26 + sqrt(29)/26 and 17/26 - sqrt(29)/26.
7 0
3 years ago
Can someone help find the area of this shape please?
9966 [12]

Answer:

496 CM

IM SO SORRY IF THIS IS WRONG

Step-by-step explanation:

8 0
3 years ago
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