All categories

4 years ago

Solve the linear equation - 7(x + 2) = -3(x - 5) for x

Mathematics

1 answer:

melisa1 [442]4 years ago

3 0

x= −29/4

Answer:

Step-by-step explanation:

−7(x+2)=−3(x−5)

Step 1: Simplify both sides of the equation.

−7(x+2)=−3(x−5)

(−7)(x)+(−7)(2)=(−3)(x)+(−3)(−5)(Distribute)

−7x+−14=−3x+15

−7x−14=−3x+15

Step 2: Add 3x to both sides.

−7x−14+3x=−3x+15+3x

−4x−14=15

Step 3: Add 14 to both sides.

−4x−14+14=15+14

−4x=29

Step 4: Divide both sides by -4.

−4x −4

x=29/−4

x= −29/4

You might be interested in

How to work it and solve the problem

jeka94

It's quite difficult, almost impossible to write all steps to solve a 3x3 matrix.

However, I will give you te answer that is determinant (Matrix)=54

8 0

4 years ago

The perimeter of a parallelogram is 72 meters. The width of

Minchanka [31]

The length is 22 and the width is 18.

3 0

3 years ago

Please help. I don't understand what to input into the c...

bogdanovich [222]

Factorize the denominator:

$x^2-31x+240 = (x-16)(x-15)$

Then we find that ...

• When c = 15,

$\displaystyle \lim_{x\to15}f(x) = \lim_{x\to15}\frac{x-15}{(x-16)(x-15)} = \lim_{x\to15}\frac1{x-16} = \frac1{15-16} = \frac1{-1} = \boxed{-1}$

because the factors of x - 15 in the numerator and denominator cancel with each other. More precisely, we're talking about what happens to f(x) as x gets closer to 15, namely when x ≠ 15. Then we use the fact that y/y = 1 if y ≠ 0.

• When c = 16,

$\displaystyle \lim_{x\to16}f(x) = \lim_{x\to16}\frac{x-15}{(x-16)(x-15)} = \lim_{x\to16}\frac1{x-16} = \dfrac10$

which is undefined; so this limit does not exist.

• When c = 17,

$\displaystyle \lim_{x\to17}f(x) = \lim_{x\to17}\frac{x-15}{(x-16)(x-15)} = \lim_{x\to17}\frac1{x-16} = \frac1{17-16}=\frac11 =\boxed{1}$

because the function is continuous at x = 17.

6 0

3 years ago

Which statements are true about ΔJKL and ΔLMN? Select all that apply.

svp [43]

Answer:

A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure $50^o,60^o,70^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$m\angle KLJ=m\angle MLN$ ----> by vertical angles

substitute the given values

$(6x-2)^o=(5x+10)^o$

solve for x

$6x-5x=10+2\\x=12$

step 2

Find the measure of the interior angles of triangle JKL

we have

$m\angle KLJ=(6(12)-2)=70^o$

$m\angle KJL=(5(12))=60^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle JKL=180^o-130^o=50^o$

therefore

Triangle JKL has angles that measure $50^o,60^o,70^o$

step 3

Find the measure of the interior angles of triangle LMN

we have

$m\angle MLN=(5(12)+10)=70^o$

$m\angle LMN=(6(12)-7)=65^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle LNM=180^o-135^o=45^o$

Triangle LMN has angles that measure $45^o,65^o,70^o$

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

Verify each statement

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure $50^o,60^o,70^o$

The statement is true (see the explanation)

Part d) ΔLMN has angles that measure $50^o,60^o,70^o$

The statement is false

Because, Triangle LMN has angles that measure $45^o,65^o,70^o$

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

6 0

4 years ago

Is it bigger 0.000 01 or is it 0.001

Murljashka [212]

The one with less zeros IN FRONT is bigger, but if the zeros are behind the number the most zeros would be bigger, so the answer is 0.001

8 0

3 years ago

Read 2 more answers