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5 months ago

9

Help me solve this problem

2 answers:

eduard5 months ago

8 0

Answer:

b. (-1, 5)

Step-by-step explanation:

Since the first equation is already solved for y, we can use substitution.

Substitute y in the second equation with 3x + 8.

5x + 2y = 5

5x + 2(3x + 8) = 5

5x + 6x + 16 = 5

11x = -11

x = -11/11

x = -1

Now substitute x in the first original equation by -1 and solve for y.

y = 3x + 8

y = 3(-1) + 8

y = -3 + 8

y = 5

Answer: (-1, 5)

zvonat [6]5 months ago

5 0

Answer: d. (-1,5)

Step-by-step explanation: Substitute into one of the equations, solve the equation, substitute into one of the equations, solve the equation, than write the solution.

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Aliun [14]

Answer:

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Step-by-step explanation:

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2 years ago

Directions: For the following systems, determine whether or not the ordered triple (1, -1, -2) is a solution to the equations be

uranmaximum [27]

Put the coordinate and check each

#1

$\\ \rm\Rrightarrow 3x-3y-z=2$

$\\ \rm\Rrightarrow 3(1)-3(-1)-(-2)=2$

$\\ \rm\Rrightarrow 3+3+2=2$

$\\ \rm\Rrightarrow 6+2=2$

$\\ \rm\Rrightarrow 8\neq 2$

No

#2

$\\ \rm\Rrightarrow 2(1)-3(-1)-2=-3$

$\\ \rm\Rrightarrow 2+3-2=-3$

$\\ \rm\Rrightarrow 3\neq-3$

Unless you did typing mistake on right hand side it's

No

#3

$\\ \rm\Rrightarrow 1-1-2=-2$

$\\ \rm\Rrightarrow -2=-2$

Yes

#4

$\\ \rm\Rrightarrow 1+2(-1)-(-2)=0$

$\\ \rm\Rrightarrow 1-2+2=0$

$\\ \rm\Rrightarrow 1\neq0$

No

#5

$\\ \rm\Rrightarrow 5(1)+1-5(-2)=16$

$\\ \rm\Rrightarrow5+1+10=16$

$\\ \rm\Rrightarrow 16=16$

Yes

#6

$\\ \rm\Rrightarrow 4(1)+5(-1)-6(-2)=-13$

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8 0

1 year ago

4. An equilateral triangle has a perimeter of 60 cm. Find the exact<br> altitude of the triangle.

taurus [48]

Step-by-step explanation:

<h2>GIVEN:-</h2>

The Perimeter of Equilateral triangle = 60cm

<h2>UNDERSTANDING THE CONCEPT:-</h2>

According to the question,

To find the height of the triangle,

Perimeter of Equilateral triangle = Area of Equilateral triangle.

<h2>FORMULA USED:-</h2>

$60 = \frac{ \sqrt{3} }{4} a {}^{2} \\$

<h2>REQUIRED ANSWER:-</h2>

$60 \times 4 = \sqrt{3a {}^{2} }$

$a {}^{2} = 240 \sqrt{3} \\$

$a = 120 \sqrt{3} cm$

<h3>SO, The Exact height of the triangle is 120√3cm.</h3>

5 0

2 years ago

A cylinder with radius 3 feet and height 5 feet is shown.

Leviafan [203]

Answer:

The volume of the cylinder is <u>141.23 cubic feet </u>

Step by step explanation :

<u>Given</u>-

Radius of cylinder = 3 feet
Height of cylinder = 5 feet

Now, we know that

<h3> $\boxed {\mathfrak \red{ volume \: of \: cylinder = \pi {r}^{2} h}}$ </h3>

where, r is the radius of the cylinder & h is the height of the cylinder.

Now,

Volume of the cylinder = $\frac{22}{7} \times {3}^{2} \times 5$

$= \frac{22}{7} \times 3 \times 3 \times 5$

<h3> $= \frac{990}{7}$ </h3>

$= 141.428571$ ( approximately )

$= \boxed{ 141.43 \: \mathfrak { {ft}^{3}} }$

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1 year ago

what is the approximate percent increase when the population of a town increases from 12089 to 15025? round the amounts to the n

bulgar [2K]

The rate of increase is
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The percent of increase is then
$(1.242865-1)*100\%=0.242865*100\%=24.2865\%$

6 0

2 years ago

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