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3 years ago

Simplify the variable expression. 14a +(-3a)

Mathematics

2 answers:

DENIUS [597]3 years ago

6 0

Answer:

$\huge\boxed{14a+(-3a)=11a}$

Step-by-step explanation:

$14a+(-3a)\qquad(+)(-)=(-)(+)=(-)\\\\=14a-3a\qquad\text{combine like terms}\\\\=(14-3)a=11a$

allochka39001 [22]3 years ago

5 0

Answer:

11a

Step-by-step explanation:

The addition sign does not add the coefficients together. It will already be subtraction with the negative 3a. So, that means the new equation is 14a-3a, then subtracting 14-3 equates to 11.

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A rectangle has two different side lengths: One is (4p-5) inches. The other is (3p+2) inches. Find the perimeter of the rectangl

Anika [276]

The perimeter of rectangle is 14p-6.

Step-by-step explanation:

Given,

One side of rectangle = 4p-5 inches

Length of other side = 3p+2 inches

Perimeter of rectangle = 2( Length of one side + Length of other side)

$Perimeter = 2(4p-5+3p+2)\\Perimeter = 2(7p-3)\\Perimeter = 14p-6$

The perimeter of rectangle is 14p-6.

Keywords: rectangle, perimeter

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7 0

3 years ago

Solve the equation: k^2+5k+13=0

mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \\$

From the question

a = 1 , b = 5 , c = 13

So we have

$k = \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)} \\ = \frac{ - 5 \pm \sqrt{25 - 52} }{2} \\ = \frac{ - 5 \pm \sqrt{ - 27} }{2} \: \: \: \: \: \: \\ = \frac{ - 5 \pm3 \sqrt{3} \: i}{2} \: \: \: \: \: \:$

<u>Separate the solutions</u>

$k_1 = \frac{ - 5 + 3 \sqrt{3} \: i }{2} \: \: \: \: or \\ k_2 = \frac{ - 5 - 3 \sqrt{3} \: i}{2}$

The equation has complex roots

<u>Separate the real and imaginary parts</u>

We have the final answer as

$k_1 = - \frac{5}{2} + \frac{3 \sqrt{3} }{2} \: i \: \: \: \: or \\ k_2 = - \frac{5}{2} - \frac{3 \sqrt{3} }{2} \: i$

Hope this helps you

8 0

3 years ago

A building that is 100 ft tall casts a shadow that makes a 30 degree angle with the ground. Approximately how long, in feet, is

Naddik [55]

The awnser is 130 ft.

8 0

3 years ago

Read 2 more answers

Claire accepted a new job at a company with a contract guaranteeing annual raises. Let S

TiliK225 [7]

Answer:

6 years

Step-by-step explanation:

First, you need to write an equation for this problem. I'll write it in slope intercept:

y = mx + b

where m is the slope and b is the y-intercept

To find m, do (change in y/change in x):

using (2, 59000) and (5, 72500),

(72500 - 59000) / (5 - 2)

= 13500 / 3

= 4500

So we have y = 4500x + b

To find b, plug in one of the points into the equation with the slope:

using (2, 59000),

y = 4500x + b

59000 = 4500(2) + b

59000 = 9000 + b

50000 = b

So now you have an equation: y = 4500x + 50000. Now that there is an equation, just insert the given y-value and solve:

when y = 77000

y = 4500n + 50000

= 77000 = 4500x + 50000

= 27000 = 4500x

= 6 = x

So, when Claire's Salary is 77000, her number of years at the company is 6.

6 0

3 years ago

The tip jar at a sandwich shop has been found to have a dollar value 0.65ℎ +1.25, where ℎ is the number of hours since the shop

DedPeter [7]

Answer:

The intial value is 1.25

Step-by-step explanation:

7 0

4 years ago