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3 years ago

Your friend Mel says he has an easier way to solve this problem. Here are the ﬁrst steps in his method.

Mathematics

1 answer:

damaskus [11]3 years ago

4 0

Simplifying

2x2 + 6x + 4 = 24

Reorder the terms:

4 + 6x + 2x2 = 24

Solving

4 + 6x + 2x2 = 24

Solving for variable 'x'.

Reorder the terms:

4 + -24 + 6x + 2x2 = 24 + -24

Combine like terms: 4 + -24 = -20

-20 + 6x + 2x2 = 24 + -24

Combine like terms: 24 + -24 = 0

-20 + 6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.

2(-10 + 3x + x2) = 0

Factor a trinomial.

2((-5 + -1x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying

-5 + -1x = 0

Solving

-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -1x = 0 + 5

-1x = 0 + 5

Combine like terms: 0 + 5 = 5

-1x = 5

Divide each side by '-1'.

x = -5

Simplifying

x = -5

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Can anyone answer this question about angles!

TiliK225 [7]

Isosceles triangle, angle P = angle Q.

3x + 10 = x + 52

2x = 42

x = 21

Congruent angles are both x+52=73 degrees. Triangle angles add to 180 so

y = 180 - 73 - 73 = 34 degrees

Answer: 34

7 0

3 years ago

What is the value of x

mixer [17]

FOR Y
opposite angles - equal
angles in a quadrilateral are 360 degrees
68 + 68 = 136
360 - 136 = 224
224/2 = 112 degrees
angles on a straight line = 180 degrees
180 - 112 = 68
Y = 68
FOR X
angles on a straight line are 180 degrees
180 - 68 = 112 degrees
X=112 degrees

3 0

3 years ago

How can we put 45 rabbits in 9 cells, so that there are different number of rabbits in each cell and none of the cells is empty?

erica [24]

You can put one rabbit in cell one. Two rabbits in cell two. Three rabbits in cell three. Four rabbits in cell four. Five rabbits in cell five. Six rabbits in cell six. Seven rabbits in cell seven. Eight rabbits in cell eight. And finally nine rabbits in cell nine.

3 0

4 years ago

Read 2 more answers

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations)

Kisachek [45]

Answer:

40π in^2

Step-by-step explanation:

360°/72°=5

so, each of the two shaded regions are 1/5 of the circle.

the formula for finding the area of a circle is πr^2, so:

area for one of the shaded regions:

1/5πr^2

1/5π(10)^2

1/5π100

20π in^2

this means that the area for one of the shaded regions is 20π. however, since there are two of them:

2(20π)=40π

so, the area of the shaded regions is 40πin^2

5 0

3 years ago

1. tentukan hasil dari 243⅔?

Vesnalui [34]

Penjelasan langkah demi langkah:

$= 243^{\frac{2}{3} }\\= (\sqrt[3]{243})^2\\= 7^2\\= 49$

2) √32 +3√18-2√50

= √16*2 +3√9*2-2√25*2

= 4√2 + 3(3√2)-2(5√2)

= 4√2 + 9√2-10√2

= 13√2-10√2

= 3√2

3) 1000 ⅔×64⅙

$= (\sqrt[3]{1000}) ^2 \times (2^6)^{1/6} \\= 10^2 \times 2\\= 100 \times 2\\= 200$

4) 3/4+√2

$3/4+\sqrt{2} \\= \frac{3+4\sqrt{2} }{4 }$

5) 2√3×√18

= 2√3×√9*2

= 2√3×3√2

= (2*3)(√3*√2)

= 6√6

6) 12/3+√3

= 4+√3

7) √1000—2√40

= 10 -2 (√4*10)

= 10-2(2√10)

= 10 - 4√10

8) 2- ¹+3-¹

$= \frac{1}{2} + \frac{1}{3}\\ = \frac{3+2}{6}\\ = \frac{5}{6}$

$\frac{5}{\sqrt{5} }\\ merasionalisasikan\\= \frac{5}{\sqrt{5} }\times \frac{\sqrt{5} }{\sqrt{5} }\\= \frac{5\sqrt{5} }{\sqrt{25} }\\= \frac{5\sqrt{5} }{5}\\ = \frac{\sqrt{5} }{1}$

Jika pernyataannya opsional, penyebutnya adalah 1

10) 2√3×√18

= 2√3×√9*2

= 2√3×3√2

= (2*3)(√3*√2)

= 6√6

7 0

4 years ago