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2 years ago

Two numbers, x and y, have a sum of 8 and a difference of -14.

Mathematics

1 answer:

Lyrx [107]2 years ago

6 0

Answer: x=-3 and y = 11

Step-by-step explanation: x+y = 8 and x-y = - 14

From first solve y = 8-x and now Insert y to later

x -(8-x) = -14. x -8+x-14. 2x = -6 and x=-3. Y = 8-x = 11

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The scores of individual students on the american college testing (act) program composite college entrance examination have a no

Alona [7]

The mean of the distribution of the sampling mean is the same as the mean of the population, 18.6.

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2 years ago

If the area of a square plot of land is 9 miles squared, what is the perimeter of this land?

tatyana61 [14]

Answer:

$\huge{ \fbox{ \sf{12 \: miles}}}$

Step-by-step explanation:

Given,

Area of a square plot = 9 miles

First, finding the length of the land

$\boxed{ \sf{Area \: of \: a \: square \: = \: {length}^{2} }}$

$\mapsto{ \sf{9 = {length}^{2} }}$

$\mapsto{ \sf{ {length}^{2} = 9}}$

$\mapsto{ \sf{ \sqrt{ {(length)}^{2} }} = \sqrt{9} }$

$\mapsto{ \sf{length = 3 \: miles}}$

Now , finding the perimeter of the land :

$\boxed{ \sf{perimeter \: of \: a \: square = 4 \: * length}}$

$\mapsto{ \sf{perimeter \: = \: 4 \: * \: 3}}$

$\mapsto{ \sf{perimeter \: = 12 \: miles}}$

The perimeter of the land = 12 miles

Hope I helped!

Best regards! :D

~ $\text{TheAnimeGirl}$

3 0

2 years ago

For the function f(x)=5x^3-6, find f^-1

max2010maxim [7]

Answer:

$f^{-1}$ means the inverse function

$f^{-1}$ = $\sqrt[3]{(x + 6)/5}$

Step-by-step explanation:

$f^{-1}$ means the inverse function

to find an inverse function, flip the x and y variables and solve for y

f(x) = 5x^3 - 6

y = 5x^3 - 6

x = 5y^3 - 6

x + 6 = 5y^3

(x + 6)/5 = y^3

$\sqrt[3]{(x + 6)/5}$ = y

5 0

2 years ago

Given: PQ= TQ, UQ: QS

joja [24]

Answer:

The required prove is shown below.

Step-by-step explanation:

Consider the provided statement.

The required figure is shown below:

Statement Reasons

PQ ≅ TQ; UQ ≅ QS Given

PQ = TQ, UQ = QS Definition of Congruence

PQ + QS = PS; TQ+QU = TU Segment Addition Postulate

TQ + QS = PS Substitution (PQ = TQ)

TQ + QS = TU Substitution (QU = QS)

PS = TU Transitive Property

Prove: PS ≅TU Definition of Congruence

Hence, the required prove is shown above.

3 0

2 years ago

Given that y(t)=c1e4t+c2e−4ty(t)=c1e4t+c2e−4t is a solution to the differential equation y′′−16y=0y′′−16y=0, where c1c1 and c2c2

tekilochka [14]

Solution :- Given differential equation

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So the characteristic equation will be

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so, the required function will be

$y=c_{1}e^{r_{1}t}+c_{1}e^{r_{2}t}$

⇒ $y=c_{1}e^{4t}+c_{1}e^{-4t}$ ia solution of the given differential equation

where $c_{1} \\and \\c_{2}$ are constants.

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2 years ago