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inn [45]
3 years ago
11

Determine if the given lines are parallel, perpendicular, or neither.

Mathematics
1 answer:
Leni [432]3 years ago
4 0

Answer:

The lines are parallel.

Step-by-step explanation:

Given the lines

-2x-3y=9

4x+6y=24

Writing the equations in the slope-intercept form

y=mx+b

where m is the slope and b is the y-intercept

-2x-3y=9

y=-\frac{2}{3}x-3

Thus, the slope = m₁ = -2/3

also

4x+6y=24

  • y=-\frac{2}{3}x+4

Thus, the slope = m₂ = -2/3

  • We know that parallel lines have equal slopes

As

m₁ = m₂

Thus, the lines are parallel.

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Y=2x+1 when x increases by 5,y increases by​
Dmitriy789 [7]

Answer:

10

Step-by-step explanation:

say x=0

then y would be 1

increasing x by 5 makes x=5

and then 5 x 2 + 1=11

so y went from 1-11(difference of 10) with the variation

so the answer is 10

3 0
2 years ago
You are enclosing a circular flower garden with a fence that costs $2.99 per foot. The radius of the garden is 7 feet. How much
tangare [24]
Did it too fast I was wrong
5 0
3 years ago
Read 2 more answers
100 Points!
tester [92]

Part A: x = -5/4, 3 || (-5/4, 0) (3, 0)

To find the x-intercepts, we need to know where y is equal to 0. So, we will set the function equal to 0 and solve for x.

4x^2 - 7x - 15 = 0

4 x 15 = 60 || -12 x 5 = 60 || -12 + 5 = -7

4x^2 - 12x + 5x - 15 = 0

4x(x - 3) + 5(x - 3) = 0

(4x + 5)(x - 3) = 0

4x + 5 = 0

x = -5/4

x - 3 = 0

x = 3

Part B: minimum, (7/8, -289/16)

The vertex of the graph will be a minimum. This is because the parabola is positive, meaning that it opens to the top.

To find the coordinates of the parabola, we start with the x-coordinate. The x-coordinate can be found using the equation -b/2a.

b = -7

a = 4

x = -(-7) / 2(4) = 7/8

Now that we know the x-value, we can plug it into the function and solve for the y-value.

y = 4(7/8)^2 - 7(7/8) - 15

y = 4(49/64) - 49/8 - 15

y = 196/64 - 392/64 - 960/64

y = -1156/64 = -289/16 = -18 1/16

Part C:

First, start by graphing the vertex. Then, use the x-intercepts and graph those. At this point we should have three points in a sort of triangle shape. If we did it right, each of the x-values will be an equal distance from the vertex. After we have those points graphed, it is time to draw in the parabola. Knowing that the parabola is positive, we draw in a U shape that passes through each of the three points and opens toward the top of the coordinate grid.

Hope this helps!

6 0
2 years ago
Evaluate <br><br> 0.4x + 6.1 for x = -5
Law Incorporation [45]

Answer:

the answer is 4.1

Step-by-step explanation:

use mathwa or cynmath next time for a quicker answer

4 0
3 years ago
Last year Baron Enterprises had $800 million of sales, and it had $270 million of fixed assets that were used at 65% of capacity
Svetllana [295]

Answer: B. $430.80

Step-by-step explanation:

Given : Last year Baron Enterprises had $800 million of sales.

It had $270 million of fixed assets that were used at 65% (=0.65) of capacity last year.

Now, the used asset = 0.65\times270=\$175.5million

Now, Baron Enterprises had $800 million of sales in $175.5 million of assets , if we use all of $270 million of fixed assets , then the sales will be :-

\dfrac{800}{175.5}\times270=1230.76923077\approx1230.80\text{ million}

Now, the increase in Baron's sales before it is required to increase its fixed assets = \$1230.80-$800=\$430.80\text{ millions}

Hence, the increase in Baron's ( in million ) sales before it is required to increase its fixed assets = $430.80

8 0
3 years ago
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