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GenaCL600 [577]
4 years ago
14

Find the value of the variable that makes the equation true 3x-11=-2x+19

Mathematics
1 answer:
DaniilM [7]4 years ago
4 0

Answer:

x = 6

Step-by-step explanation:

Given

3x - 11 = - 2x + 19 ( add 2x to both sides )

5x - 11 = 19 ( add 11 to both sides )

5x = 30 ( divide both sides by 5 )

x = 6

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A right triangle has one angle that measures 13.7°. what is the measure of the other acute angle
igor_vitrenko [27]
One of the angles of a right triangle is always 90 degrees. we have another 13.7 degrees angle. so we can find the other acute angle
180 - (13.7 + 90) = 180 - 103.7 \\  = 76.3
the other acute angle measures 76.3
3 0
4 years ago
the sum of two numbers is 48. the larger number is 16 more than the smaller number. what are the numbers?
Studentka2010 [4]
The numbers are 16 and 32. 32 is 16 more than 16. 16+32=48
Make sure to give me a thanks if I helped :)
5 0
4 years ago
What are all of the real roots of the following polynomial? f(x) = x^4 -24x^2 - 25 A. -1 or 1 B. -5 or 5 C. -5, -1, 1, or 5 D. -
professor190 [17]

For this case we have the following function:

f (x) = x ^ 4-24x ^ 2-25

We make a change of variable:

u = x ^ 2

So, we have:

u ^ 2-24u-25

We apply the resolver:

a = 1\\b = -24\\c = -25\\

u = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\u = \frac {- (- 24) \pm \sqrt {(- 24) ^ 2-4 (1) (- 25)}} {2 (1)}\\u = \frac {24 \pm \sqrt {576 + 100}} {2}\\u = \frac {24 \pm \sqrt {676}} {2}\\u = \frac {24\pm26} {2}

We have two roots:

u_ {1} = \frac {24 + 26} {2} = 25\\u_ {2} = \frac {24-26} {2} = - 1

Returning the change:

x ^ 2 = 25\\x = \pm \sqrt {25} = \pm5

x ^ 2 = -1 Give the imaginary roots.

Answer:

Real roots \pm5

5 0
3 years ago
A dollar bill is about 15.5 cm long. If seventeen trillion dollar bills were laid end to end around the Earth's equator, how man
Mariana [72]

Answer:

The dollar bills would encircle earth 65753.1 times

Step-by-step explanation:

We have

Length of dollar bill = 15.5 cm

Total dollar bills = 17 trillion = 17\times 10^{12}

Thus the length of 17 trillion dollar bills equals

15.5\times 17\times 10^{12}cm\\\\=263.5\times 10^{12}cm\\\\=\frac{263.5\times 10^{12}}{10^{5}}km\\\\=263.5\times 10^{7}km

Now taking shape of earth as a perfect sphere the circumference of earth becomes

C=2\pi r\\\\=2\times \pi \times 6378km\\\\=40074.1558km

Thus the number of times the dollar bills would encircle earth equals

\frac{263.5\times 10^{7}km}{40074.1558km}=65753.21times

6 0
3 years ago
Tyler’s family is using a shipping trailer that is 5 feet tall, 4 feet wide, and 12 feet long to load boxes of apples in. Each b
Hunter-Best [27]
To get the volume 5184 in3 you can use the dimension 18in x 24in x 12in.
8 0
3 years ago
Read 2 more answers
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