All categories

3 years ago

Which equation is equivalent to

Mathematics

1 answer:

STALIN [3.7K]3 years ago

8 0

Answer:

Step-by-step explanation:

y + 2x + 10 = 4x + 5

y = 4x - 2x + 5 - 10

y = 2x - 5

Answer- C

You might be interested in

Arliss has two pieces of carpet runner. One is2/13 yards long and the other3/13

Lunna [17]

Solution steps:

1. Add the two given fractions.

2. Subtract the sum from 10 to find your answer.

3 0

3 years ago

Read 2 more answers

Each week Richard Studies for 12 hours. His friend Gary studied for 8 hours a week. How many weeks will it take Gary to study th

KATRIN_1 [288]

6 weeks 12x4=48 8x6=48

7 0

3 years ago

Read 2 more answers

Find all points on the curve x=4cos(t),y=4sin(t) that have the slope of 12.

Marianna [84]

Answer:

$\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )$ .

Step-by-step explanation:

We need to find all the points on the curve x=4cos(t),y=4sin(t) that have the slope of 1/2.

$x=4cos (t)$

$\dfrac{dx}{dt}=-4sin (t)$

$y=4sin (t)$

$\dfrac{dy}{dt}=4cos (t)$

Now,

$\dfrac{dy}{dx}=\dfrac{dy}{dt}\times \dfrac{dt}{dx}$

$\dfrac{dy}{dx}=4cos (t)\times \dfrac{1}{-4sin (t)}$

$\dfrac{dy}{dx}=-\cot t$

So, slope of the curve is $-\cot t$ .

$-\cot t=\dfrac{1}{2}$

$-\tan t=2$

$\tan t=-2$ ...(1)

Using $\sec^2t=1+\tan^2t$ , we get

$\sec^2t=1+(-2)^2$

$\sec^2t=1+4$

$\sec t=\pm \sqrt{5}$

$\cos t=\pm \dfrac{1}{\sqrt{5}}$

Now,

$\sin^2t=1-cos^2t$

$\sin t=\pm \sqrt{1-\dfrac{1}{5}}$

$\sin t=\pm \sqrt{\dfrac{4}{5}}$

$\sin t=\pm \dfrac{2}{\sqrt{5}}$

It equation (1), tan(t) is negative. So, sin and cos have different signs.

If $\sin t= \dfrac{2}{\sqrt{5}}$ , then $\cos t=- \dfrac{1}{\sqrt{5}}$ .

$x=4cos (t)=-\dfrac{4}{\sqrt{5}}$

$y=4sin (t)=\dfrac{8}{\sqrt{5}}$

If $\sin t=- \dfrac{2}{\sqrt{5}}$ , then $\cos t= \dfrac{1}{\sqrt{5}}$ .

$x=4cos (t)=\dfrac{4}{\sqrt{5}}$

$y=4sin (t)=-\dfrac{8}{\sqrt{5}}$

Therefore, the two points are $\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )$ .

5 0

3 years ago

A certain fluid is not a liquid if its temperature above 140 C or below 0 C. Enter a compound inequality for the temperatura t w

tiny-mole [99]

Answer:

t < 0 and t > 140

Step-by-step explanation:

It is given in the question that fluid is not a liquid if its temperature is above 140°C or below 0°C.

So, the inequality that satisfies the temperature at which the fluid is liquid will be given by 140 ≥ t ≥ 0.

Now, the compound inequality for the temperature t when the fluid is not liquid is t < 0 and t > 140. (Answer)

5 0

3 years ago

what’s transformation is the result of reflect in the original figure across the Y-axis and then across the X-axis

antoniya [11.8K]

Answer:

Step-by-step explanation:

When reflected across the Y it becomes B, but then across the X, it fits into D.

3 0

3 years ago