Check for understanding. need help with all 3. PLS HELP

What is 1/2(4x+14)=2(x-7)

GREYUIT [131]

Answer:

no solution

Step-by-step explanation:

1/2(4x+14)=2(x-7)

Multiply both sides by 2.

4x + 14 = 4(x - 7)

4x + 14 = 4x - 28

Subtract 4x from both sides.

14 = -28

Since 14 = -28 is a false statement, there is no solution for this equation.

Answer: no solution

8 0

3 years ago

Divide. a.1 − 2i/2i b. 5 − 2i/5 + 2i c.√3 − 2i/−2 − √3i

Umnica [9.8K]

Answer:

(a) \frac{-1i}{2}-1[/tex]

(b) $\frac{20i+21}{29}$

(c) i

Step-by-step explanation:

We have to perform division

(a) $\frac{1-2i}{2i}$

So after division

$\frac{1-2i}{2i}=\frac{1}{2i}-\frac{2i}{2i}=\frac{-1i}{2}-1$

(b) We have given expression $\frac{5-2i}{5+2i}$

After rationalizing $\frac{5-2i}{5+2i}\times \frac{5-2i}{5-2i}=\frac{(5-2i)^2}{25+4}=\frac{25+4i^2+20i}{29}=\frac{20i+21}{29}$

(c) We have given expression $\frac{\sqrt{3}-2i}{-2-\sqrt{3i}}$

After rationalizing

$\frac{\sqrt{3}-2i}{-2-\sqrt{3i}}\times \frac{-2+\sqrt{3i}}{-2+\sqrt{3i}}=\frac{-2\sqrt{3}+7i+2\sqrt{3}}{7}=\frac{7i}{7}=i$

5 0

3 years ago

PLS HURRY ILL GIVE BRAINLIEST Which graph of ordered pairs shows a proportional relationship?

sp2606 [1]

Answer:

pretty sure is the first one

Step-by-step explanation:

a proportional relationship is a straight line that passes through the origin

8 0

3 years ago

Read 2 more answers

In trapezoid $ABCD$, $\overline{AB}$ is parallel to $\overline{CD}$, $AB = 7$ units, and $CD = 10$ units. Segment $EF$ is drawn

Mekhanik [1.2K]

Answer:

EF = 58/7

Step-by-step explanation:

If you extend both BC and AD to meet at P you get 3 similar triangles PAB, PEF, and PCD. Let's call BF = 3x and FC = 4x. Therefore the following proportions can be expressed:

BP/7 = (BP+7x)/10

10BP = 7*(BP+7x)

10BP = 7BP+49x

3BP = 49x

BP = (49/3)x

BP/7 = (BP+3x)/EF

EF = (BP+3x)*7/BP

EF = ((49/3)x + 3x)*7/((49/3)x)

EF = ((58/3)x*7*3)/(49x)

EF = 58/7

3 0

3 years ago

Please help, will give brainlist!

eimsori [14]

Answer:

The answer is B. (2.5,-0.5).

Step-by-step explanation:

You would substitute the ordered pair into the first equation, making it

3(2.5)-(-0.5)=8. So the equation would become 7.5-(-0.5)=8, or 7.5+0.5=8. 8=8 is a true statement.

3 0

3 years ago