All categories

3 years ago

Solve for x using the distributive property. 7(x + 3) = -49

Mathematics

2 answers:

NISA [10]3 years ago

5 0

Answer:

x= -10

Step-by-step explanation:

distribute 7 to x and 3: 7x + 21 = -49

subtract 21 from both sides to isolate the variable: 7x= -70

divide both sides by 7 to find x: x= -10

Nadusha1986 [10]3 years ago

3 0

Answer:

X = -10

Step-by-step explanation:

1.- 7x + 21 = -49

Subtract 21 on both sides of the equal sign

You should have:

2.- 7x = -70

Divide 7 on both sides of the equal sign

You should get the answer:

X = -10

You might be interested in

Guys help me yall for 20 point

igomit [66]

Answer:

Step-by-step explanation:

9/m+4

9/3+4 (m=3)

3+4

4 0

2 years ago

Read 2 more answers

If y = 2 and x = 5, Then solve 3x + 4 + 2y A 20 B 61 C 23 D 0

Arisa [49]

Answer:

Step-by-step explanation:

8 0

3 years ago

Please help- A car travels 600ft in 20 seconds. A motorcycle travels 300ft in 12 seconds. Which is faster, the car or the motorc

Lesechka [4]

Answer:

The Car.

Step-by-step explanation:

We need to find the unit rate for each vehicle to figure out who is traveling faster or slower.

Car: 600/20 = 30 ft per second

Motorcycle: 300/12 = 25 ft per second

So, the Car is faster

7 0

2 years ago

Read 2 more answers

The deck of a bridge is suspended 275 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of

Ivenika [448]

Answer:

Our equation for the height is:

y(t) = 275 - 16*t^2.

a) To find the average velocity between two times, t1 and t2, (where t2 > t1) the equation is:

$AV = \frac{y(t2) - y(t1)}{t2 - t1}$

Then:

i) t1 = 4s, t2 = 4s + 0.1s = 4.1s

The average velocity is:

$AV = \frac{(275 - 16*4.1^2) - (275 - 16*4^2)}{4.1 - 4} = \frac{16(4^2 - 4.1^2)}{0.1} = -129.6$

And the units will be ft/s, so the average speed is:

-129.6 ft/s

The minus sign is because te pebble is falling down.

ii) t1 = 4s, t2 = 4s + 0.05s = 4.05s

The average velocity is:

$AV = \frac{(275 - 16*4.05^2) - (275 - 16*4^2)}{4.05 - 4} = \frac{16(4^2 - 4.05^2)}{0.05} = -128.8$

So the average speed is -128.9 ft/s

iii) t1 = 4s, t2 = 4s + 0.01s = 4.01s

The average speed is:

$AV = \frac{(275 - 16*4.01^2) - (275 - 16*4^2)}{4.01 - 4} = \frac{16(4^2 - 4.01^2)}{0.01} = -128.16$

The average speed is -128.16 ft/s.

b) The instantaneous velocity of the pebble after 4 seconds can be obtained by looking at the velocity equation, that is the derivative of the height equation.

v(t) = dy(t)/dt.

v(t) = -2*16*t + 0

Then the velocity at t = 4s is:

v(4s) = -32*4 = -128

The instantaneous velocity at t = 4s is -128 ft/s.

3 0

3 years ago

Pls help me .question no 14

Alex_Xolod [135]

Question 14, Part (i)

Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,

A+B+C+D = 360

A+90+C+90 = 360

A+C+180 = 360

A+C = 360-180

A+C = 180

Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.

==================================================

Question 14, Part (ii)

Let

x = measure of angle 1

y = measure of angle 2

z = measure of angle 3

Back in part (i) above, we showed that y + z = 180

Note that angles 1 and 2 are adjacent to form a straight line, so we can say

x+y = 180

-------

We have the two equations x+y = 180 and y+z = 180 to form this system of equations

$\begin{cases}x+y = 180\\y+z = 180\end{cases}$

Which is really the same as this system

$\begin{cases}x+y+0 = 180\\0+y+z = 180\end{cases}$

The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.

4 0

3 years ago