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gulaghasi [49]
3 years ago
13

What is the solution to the equation -4(2x + 3) = 2x + 6 - (8x + 2)?

Mathematics
1 answer:
MrRa [10]3 years ago
4 0

Answer:

B. x = -8

Step-by-step explanation:

-4(2x + 3) = 2x + 6 - (8x + 2)

-8x -12 = 2x + 6 - 8x -2

(now, "-8" in both terms is cancelled):

-12 = 2x + 6 - 2

(leave 2x alone in second term):

-12 -6 +2 = 2x

-16 = 2x

-16/2 = x

-8 = x

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ind the length of the longest side of the rectangle whose vertices are given. A(2, 1), B(5, 4), C(0, 3), D(3, 6) 2 rad2 3 rad2 r
trasher [3.6K]

Distance between A and B  

= Distance between C and D  

= sqrt((4 - 1)^2 + (5 - 2)^2)  

= sqrt(3^2 + 3^2)  

= sqrt(2 * 3^2)  

= sqrt(3^2) * sqrt(2)  

= 3sqrt(2)  

Distance between B and C  

= Distance between A and D  

= sqrt((4 - 3)^2 + (5 - 0)^2)  

= sqrt(1^2 + 5^2)  

= sqrt(26)  

Since sqrt(26) is more than 3sqrt(2), the length must be sqrt(26).

Hope this helps you.

5 0
3 years ago
3 people can deliver 1000 letters in 30 minutes.
Studentka2010 [4]

Answer:  It would take 1 hour and 30 minutes for one people do it.

If 5 people do it would take less time. If there are 5 people delivering the letters it would take them 12 minutes ti deliver all 1,000 letters.

6 0
3 years ago
jacob bought a place mat. The place mat has four sides and only one pair of parallel sides. Which could be the shape of Jacob's
Gwar [14]
A rectangle is the answer 
8 0
3 years ago
Read 2 more answers
Does anyone know how to factor y^2+49?
Delvig [45]

Answer:

(y + 7i)(y - 7i)

Step-by-step explanation:

It cannot be factored using real numbers, but consider

7i × - 7i

= -49i² and i² = - 1

= 49

The factoring as a difference of squares to obtain

y² + 49 = (y + 7i)(y - 7i)

5 0
3 years ago
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There are x number of students at helms. If the number of students increases by 7.8% each year, how many students will be there
vodomira [7]

There will be 1.078x students next year and equation is number of students in next year = x + 7.8% of x

<h3><u>Solution:</u></h3>

Given, There are "x" number of students at helms.  

The number of students increases by 7.8% each year which means if there "x" number of students in present year, then the number of students in next year will be x + 7.8% of x

Number of students in next year = number of students in present year + increased number of students.

\begin{array}{l}{\text { Number of students in next year }=x+7.8 \% \text { of } x} \\\\ {\text { Number of students in next year }=x\left(1+\frac{7.8}{100}\right)} \\\\ {\text { Number of students in next year }=x(1+0.078)=1.078 x}\end{array}

Thus there will be 1.078x students in next year

3 0
3 years ago
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