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shutvik [7]
3 years ago
15

Two perpendicular lines intersect on the y-axis. the equation of one line is 4y - x - 24 =0. determined the equation of the othe

r line
Mathematics
1 answer:
Taya2010 [7]3 years ago
4 0

Answer:

y  + 4x - 6 = 0

Step-by-step explanation:

Rearranging the given equation:-

4y = x + 24

y = 1/4 x + 6  

This has a y intercept of  (0, 6) and a slope of 1/4.

Thus, the other line has a slope of -4 and  passes through the point (0,6) also.

Using the Point-slope form of a straight line:-

y - y1 = m(x - x1)

y - 6 = -4(x - 0)

y  + 4x - 6 = 0  is the required equation  

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Write a word phrase for each algebraic expression? <br> 2(18+t)
Ahat [919]

Answer:

Step-by-step explanation:

I believe the word phrase would look like this:

2 times the sum of 18 and t.

5 0
2 years ago
Read 2 more answers
The height of a ball thrown into the air after t seconds have elapsed is h = −16t2 + 40t + 6 feet. What is the first time, t, wh
sp2606 [1]
<h3>The first time when the ball will reach a height of 20 feet is 0.42 seconds</h3>

<em><u>Solution:</u></em>

Given that,

<em><u>The height of a ball thrown into the air after t seconds have elapsed is:</u></em>

h = -16t^2 + 40t + 6

<em><u>What is the first time, t, when the ball will reach a height of 20 feet?</u></em>

Substitute h = 20

20 = -16t^2 + 40t + 6\\\\-16t^2 + 40t + 6 -20 = 0\\\\-16t^2 + 40t -14 = 0\\\\16t^2 -40t + 14 = 0\\\\8t^2 -20t + 7=0

<em><u>Solve by quadractic formula</u></em>

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=8,\:b=-20,\:c=7

t = \frac{-\left(-20\right)\pm \sqrt{\left(-20\right)^2-4\cdot \:8\cdot \:7}}{2\cdot \:8}\\\\t = \frac{20 \pm \sqrt{176}}{16}\\\\t = \frac{20 \pm 4\sqrt{11}}{16}\\\\t = \frac{ 5 \pm \sqrt{11}}{4}\\\\We\ have\ two\ solutions\\\\ t=2.07915, \:t=0.42084

Rounding off we get,

t = 2.08 , t = 0.42

Thus the first time when the ball will reach a height of 20 feet is 0.42 seconds

4 0
3 years ago
Help me solve this problem. quick !!!<br> thank you!!!!!
pochemuha
I hope this helps you out with your question. (:
Just click on the photo and it'll show you.

6 0
3 years ago
Read 2 more answers
Which of the following expressions has the greatest value? A. 62 O B. 53 O c. 52 O D. 32​
irinina [24]

Answer:

A. 62

Step-by-step explanation:

7 0
3 years ago
1) Meredith f ound some lace at a price of 4.0 5/meter in Ireland that she like too much for it. The same lace in the Canada wou
vaieri [72.5K]

Answer: Ireland is €4.05/m

Canada is €3.26/m

Step-by-step explanation:

€4.05/m

$5.99/yd

To compare the prices, we need to transform one of them into the other. Let's transform the Canada price into Ireland price.

As $1 = €0.498

$5.99 * 0.498 = €2.983

€2.983/yd

1yd = 3ft

1ft = 0.3048m

3ft = 0.3048*3 = 0.9144 m

€2.983/yd = €2.983/3ft = €2.983/0.9144 m = €3.26/m

Ireland is €4.05/m

Canada is €3.26/m

5 0
3 years ago
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