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3 years ago

Question Solve the equation. Check your solutions. ∣2x+1∣=∣3x−11∣

Mathematics

1 answer:

kirill [66]3 years ago

6 0

Answer:

x=2 and x=12

Step-by-step explanation:

|2x+1| = |3x-11|

2x+1 = 3x-11

2x = 3x-12

-x = -12

x = 12

2x+1 = -(3x-11)

2x+1 = -3x+11

5x+1 = 11

5x = 10

x = 2

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Can someone explain why the ans is X=6? Its (x-6)

andrew-mc [135]

Answer:

because either x-6=0 or x+1=0

x-6=0

x=0+6

x=6 OR,

x+1=0

x=0-1

x=-1

Step-by-step explanation:

5 0

3 years ago

A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate he

Solnce55 [7]

Answer:

<h2>The height is 3.43 centimeters, approximately.</h2>

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

$\theta = \frac{360\°}{16}=22.5\°$

Where all sectors have equal area.

Now, the area of the whole circle is $12.25 \pi \ cm^{2}$ , if we use the formula of its area, we'll find the radius of the circle

$A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx 3.5$

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

$cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43$

Therefore, the height is 3.43 centimeters, approximately.

6 0

3 years ago

Multiply using FOIL or Table method (x + 4) (x + 5)

mylen [45]

Answer:

${x}^{2} + 9x + 20$

Step-by-step explanation:

1) Use FOIL method: (a + b) (c + d) = ac + ad + bc + bd.

${x}^{2} + 5x + 4x + 20$

2) Collect like terms.

${x}^{2} + (5x + 4x) + 20$

3) Simplify.

${x}^{2} + 9x + 20$

Therefor, the answer is x² + 9x + 20.

5 0

3 years ago

The 7th grade has 195 students. There are 25 more girls than boys in the grade. How many boys are there in 7th grade

Anon25 [30]

110 girls and 85 boys.

Subtract 1 from 195. Then divide by 2. 194/2 = 97. Then add 13 97+13=110. There are 110 girls.

5 0

3 years ago

ONLY 1% OF PEOPLE GET THIS RIGHT AND One rabbit saw six elephants while he was going to the river. Each elephant saw two monkeys

Dvinal [7]

Answer:

31 animals

Step-by-step explanation:

1 rabbit + 6 elephants + 6*2=12monkeys + 12 parrots = 31 animals

5 0

3 years ago