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3 years ago

Will mark brainliest!!!

Mathematics

2 answers:

GalinKa [24]3 years ago

8 0

12x²+4xy-100=0. The equation that represents the statement of the problem is 12x²+4xy-100=0.

The equation is represents by "Four times an unknown integer, multiplied by three times the unknown integer plus a different unknown integer, equals 100."

First, we have the statement "four times an unknown integer", this is:

Then, multiplied by three times the unknown integer plus a different unknown integer, that is:

4x(3x+y)

And finally, the equation above is equals to 100.

4x(3x+y)=100

Operating

(4x)(3x)+(4x)(y)=100

12x²+4xy=100

Then, subtracting 100 on both sides of the equation.

12x²+4xy-100=100-100

Obtaining

12x²+4xy-100=0

Savatey [412]3 years ago

5 0

Let's call the first unknown integer x and the second one y.

"Four times an unknown integer"

We can write it as 4x

"Multiplied by three times the unknown integer plus a different unknown integer"

4x is multiplied by 3x+y, so 4x(3x+y)=12x²+4xy

"Equals 100."

12x²+4xy=100

And so the answer is C: 12x²+4xy-100=0

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Which of the following methods would be the easiest to use to solve 12x2 – 48 = 0?

Katarina [22]

$\bf \stackrel{\textit{solving for \underline{x}}}{12x^2-48=0\implies 12x^2=48\implies x^2=\cfrac{48}{12}\implies x^2=4} \\\\\\ x=\pm\sqrt{4}\implies x=\pm 2$

7 0

3 years ago

Read 2 more answers

Pedro is building a playground in the shape of a right triangle. He wants to know the area of the playground to help him decide

Bumek [7]

Answer:

Dimensions of rectangle:

Length =6 yards

Width=3 1/3 yards

Area of right triangle = 10 yd^2

Step-by-step explanation:

The right triangle has base as 6 yards and height as 3 1/3 of yards.

When we match this triangle with another right triangle to make the rectangle is another right triangle with sides 6 yards and 3 1/3 yards.

I'll upload the file for work.

5 0

3 years ago

the two longer sides of a triangle measure 22 units and 29 units .which of the following is a possible length of the shorter sid

Tresset [83]

B is the right answer because a is too short and c and d are too long

7 0

3 years ago

If 2x + 5 = 8x, then 12x = ?A.5B.10C.15D.20

butalik [34]

<h2>Answer:</h2> $10.\text{ Option B is correct}$

<h2>Explanation:</h2>

Given the equation expressed as:

$2x+5=8x$

First, we need to calculate the value of "x" from the given expression.

Step 1: Given the equation 2x + 5 = 8x

Step 2: Subtract 5 from both sides:

$\begin{gathered} 2x+5-5=8x-5 \\ 2x+\cancel{5}-\cancel{5}=8x-5 \\ 2x=8x-5 \end{gathered}$

Step 3: Subtract 8x from both sides

$\begin{gathered} 2x-8x=8x-8x-5 \\ -6x=\cancel{8x}-\cancel{8x}-5 \\ -6x=-5 \end{gathered}$

Step 4: Divide both sides by -6

$\begin{gathered} \frac{-6x}{-6}=\frac{-5}{-6} \\ x=\frac{5}{6} \end{gathered}$

Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:

$\begin{gathered} 12x=12(\frac{5}{6}) \\ 12x=\cancel{12}^2(\frac{5}{\cancel{6}^1}) \\ 12x=2\times5 \\ 12x=10 \end{gathered}$

Therefore the value of 12x is 10

3 0

8 months ago

1. What is the measure in radians for the central angle of a circle whose radius is 6 cm and intercept arc length is 5.4 cm?

fgiga [73]

Hello!

1.
find circumferece
c=2pir
c=2*6*pi=12pi
intercept is 5.4

2pi radians=all

part/whole=part/whole
5.4/12pi=x/2pi
times both sides by 12pi
5.4=6x
divide both sides by 6
0.9=x
answer is 0.9 radians

2.
assuming 9pi/5 radians

find circumference
c=2pir
c=2*26.9*pi
c=53.8pi

arc/circumference=(9pi/5)/2pi

x/(53.8pi)=(9pi/5)/(2pi)
x/(53.8pi)=18/5
times both sides by 53.8pi
x=608.46266 m
about x=608.46 m

Hope this Helps! Have A Wonderful Day! :)

5 0

3 years ago