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3 years ago

8

HELP FAST I'LL MARK YOU BRAINLIEST What is an equation of the line that passes through the point (−2, 3) and is perpendicular to

the line whose equation is y = 3/2( x ) − 4?

1 answer:

igomit [66]3 years ago

5 0

Answer: y = -2/3x + 5/3

Step-by-step explanation:

The slope of a perpendicular line is opposite reciprocal --> -2/3
Using point given (-2, 3), find b.
3 = -2(-2/3) + b
3 = 4/3 +b
5/3 = b

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If 5% sales tax is added to her total, what is the greatest total cost of groceries Darla can spend in order to spend as close t

andrew-mc [135]

Answer:

Approximately $14.20

Step-by-step explanation:

Let the cost of the groceries be represented by c, then;

cost price + VAT = c + (5% of c)

To get the value of the cost, c, that would make him spend as close to $15. Since the tax is 5% of the cost price, then the cost price would be close to $15.

Let c = $14.20, then;

So that,

c + (5% of c) = 14.20 + (5% of 14.20)

= 14.20 + 0.71

= $14.91

Thus, the greatest total cost of groceries Darla can spend in order to spend as close to $15 as possible is approximately $14.20.

7 0

3 years ago

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STALIN [3.7K]

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6 0

3 years ago

What is the answer yall

kirza4 [7]

Answer:

A

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A rock is thrown up from the ground at a velocity of 84 feet per second. The formula h = -16t2 + 84t gives the rock's height in

kenny6666 [7]

Answer:

h = 110.24 m

Step-by-step explanation:

It is given that,

A rock is thrown up from the ground at a velocity of 84 feet per second. The formula $h = -16t^2 + 84t$ gives the rock's height in feet after t second.

We need to find the maximum height of the rock. For maximum height put $\dfrac{dh}{dt}=0$

So,

$\dfrac{d( -16t^2 + 84t)}{dt}=0\\\\-32t+84=0\\\\t=\dfrac{84}{32}\\\\t=2.62\ s$

Put t = 2.62 s in the equation of height. So,

$h = -16(2.62)^2 + 84(2.62)\\\\h=110.24\ m$

So, the maximum height of the rock is 110.24 m.

7 0

3 years ago

taurus [48]

The equation -21t - 4 = 10 - 2t has only one solution

<u>Solution:</u>

Given, equation is – 21t – 4 = 10 – 2t

We have to find how many solutions does the above given equation have

Now, let us solve the given equation to find the number of solutions it has.

Then, - 21t – 4 = 10 – 2t

Taking like terms to one side of the equation we get,

- 21t + 2t = 10 + 4

$\begin{array}{l}{-19 t=14} \\\\ {19 t=-14} \\\\ {t=-\frac{14}{19}}\end{array}$

here we can see only one value of t.

Hence, the given equation has only one solution.

5 0

4 years ago