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RUDIKE [14]
4 years ago
13

I do not get this question at all. Please help me, the question is in the picture.

Mathematics
1 answer:
Lynna [10]4 years ago
5 0
What does schools teach us Des days
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Write an equation of the line satisfying the given conditions. Through (2, -5), parallel to 5x 6y + 7
mojhsa [17]

We have to determine the equation of the line passing through the point (2,-5) and parallel to the line 5x = 6y+7

When two lines are parallel, then the slopes of the two lines are equal.

Equation of line with point (x_1, y_1) and slope 'm' is given by:

(y-y_1) = m(x-x_1)

Since, we have to determine the equation of a line with point (2,-5).

So, the equation of the line is : (y-(-5)) = m(x-2)

y+5 = m(x-2)

Since, the line is parallel to the line 5x = 6y+ 7

So, 6y +7 = 5x

6y = 5x - 7

y = \frac{5}{6}x - \frac{7}{6}

So, slope of the line  'm' is \frac{5}{6}.

Therefore, the equation of the line is:

(y+5) = \frac{5}{6}(x-2)

6y + 30 = 5x - 10

6y - 5x = -10-30

6y - 5x = -40

Therefore, 6y - 5x = -40 is the required equation of the line.

8 0
3 years ago
Simplify the algebraic expression: x(x + 3) + x(2x – 4) + 6
vodka [1.7K]

answer for this question is (d)3x2-x+6

7 0
4 years ago
Read 2 more answers
I am too unmotivated to do any math even if its easy please help :)
Marta_Voda [28]

Answer:

40% increase

Step-by-step explanation:

First, find the difference:

161-115=46

Then divide by the past price to get the percent increase:

46/115=.4=40%

4 0
3 years ago
You choose a card at random from a standard deck of cards. What is the probability that you do not choose a red 8?
Aleksandr [31]

Answer:

Step-by-step explanation:

no

6 0
3 years ago
George and carmen went on a bicycle trip. They took a bus to their starting point, and then biked the rest. They traveled 350 mi
makkiz [27]

Complete question − How many kilometres did they travel by bus and by bicycle.

Answer:George and carmen traveled by bus in 135km and by bikein 215km

Step-by-step explanation:

Total Miles traveled  =   350 miles  

Let Number of kilometres they traveled with bus  = x

and Let Number of kilometres they traveled with bike = x + 80

so that the total distance traveled with bus and bike be expressed as

x + x + 80 =   350 miles  

2x + 80 =   350 miles  

2x =   350 − 80

2x =270

x=135

George and Carmen traveled by bus in 135km  

and by bicycle=x + 80 = 135 km + 80 =215km

3 0
3 years ago
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