All categories

3 years ago

What number must be subtracted from -5 for the difference to be -2. Explain your answer.

Mathematics

1 answer:

tester [92]3 years ago

3 0

Answer:

-3

Step-by-step explanation:

Let n be a number

Rewrite the sentence into something that can be interpreted better:

A number subtracted from -5 is -2

Now you can translate the statement into an equation:

-5 - n = -2

Solve for n

-n = 3

n = -3

You might be interested in

Identify the sample space of the probability experiment: Answering a true or false question.

marusya05 [52]

Answer:

there are 5

Step-by-step explanation:

"im different"

5 0

3 years ago

Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle is translated 4 units down and 3 units left. Which rule r

mylen [45]

Answer:

(x,y) ⇒ (x - 3) (y - 4)

C(5, -1)

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

You want to get from a point A on the straight shore of the beach to a buoy which is 54 meters out in the water from a point B o

anyanavicka [17]

Answer:

$x =\dfrac{45 \sqrt{6}}{ 2}$

Step-by-step explanation:

From the given information:

The diagrammatic interpretation of what the question is all about can be seen in the diagram attached below.

Now, let V(x) be the time needed for the runner to reach the buoy;

∴ We can say that,

$\mathtt{V(x) = \dfrac{70-x}{7}+\dfrac{\sqrt{54^2+x^2}}{5}}$

In order to estimate the point along the shore, x meters from B, the runner should stop running and start swimming if he want to reach the buoy in the least time possible, then we need to differentiate the function of V(x) and relate it to zero.

i.e

The differential of V(x) = V'(x) =0

= $\dfrac{d}{dx}\begin {bmatrix} \dfrac{70-x}{7} + \dfrac{\sqrt{54^2+x^2}}{5} \end {bmatrix}= 0$

$-\dfrac{1}{7}+ \dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}=0$

$\dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{5x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{\dfrac{7}{5}}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{5}{7}$

squaring both sides; we get

$\dfrac{x^2}{54^2+x^2}= \dfrac{5^2}{7^2}$

$\dfrac{x^2}{54^2+x^2}= \dfrac{25}{49}$

By cross multiplying; we get

$49x^2 = 25(54^2+x^2)$

$49x^2 = 25 \times 54^2+ 25x^2$

$49x^2-25x^2 = 25 \times 54^2$

$24x^2 = 25 \times 54^2$

$x^2 = \dfrac{25 \times 54^2}{24}$

$x =\sqrt{ \dfrac{25 \times 54^2}{24}}$

$x =\dfrac{5 \times 54}{\sqrt{24}}$

$x =\dfrac{270}{\sqrt{4 \times 6}}$

$x =\dfrac{45 \times 6}{ 2 \sqrt{ 6}}$

$x =\dfrac{45 \sqrt{6}}{ 2}$

8 0

3 years ago

Can someone pls help for brainlest

uranmaximum [27]

Answer:

a = 6

Step-by-step explanation:

Area = 36 $in^{2}$

Only one number will make this missing length true.

Obviously it's a square so one number x one number will equal to 36 $in^{2}$

6 x 6 = 36 $in^{2}$

7 0

3 years ago

Read 2 more answers

Container A- each side of the prism will measure 2 inches, and the height will be 10 inches. Container B- each side of the prism

vesna_86 [32]

Answer:

What is this question asking

Step-by-step explanation:

3 0

3 years ago

What number must be subtracted from -5 for the difference to be -2. Explain your answer.​

What number must be subtracted from -5 for the difference to be -2. Explain your answer.