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VladimirAG [237]
2 years ago
12

X = t - 3, y equals two divided by quantity t plus five

Mathematics
1 answer:
nekit [7.7K]2 years ago
5 0
X = t - 3 is also -t = -x - 3 or t=x+3

Substitute it in

y=2/t+5
y=2/(x+3)+5

Let y=0 to solve for x

0=2/(x+3)+5
-5= 2/(x+3)
-10=x+3
-7=x

Now solve for t

t = x+3
t = (-7)+3
t = -4

Now we can solve for y

y = 2/(-4)+5
y = -0.5+5
y = 4.5

To check

4.5 = 2/(-4) + 5
4.5 = -0.5 + 5
4.5 = 4.5

-7 = -4 - 3
-7 = -7

Therefore
x = -7
y = 4.5
t = -4
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In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle. Find the measure
soldi70 [24.7K]

Given:

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.

To find:

The measures of the 2 acute angles of the triangle.

Solution:

Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,

x+(2x+12)+90=180

3x+102=180

3x=180-102

3x=78

Divide both sides by 3.

x=\dfrac{78}{3}

x=26

The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:

2x+12=2(26)+12

2x+12=52+12

2x+12=64

Therefore, the measures of two acute angles are 26° and 64° respectively.

8 0
2 years ago
What is the midpoint between (3,5) and (7,9)
NikAS [45]
Your anbswer is gonna be 5,7
5 0
3 years ago
Read 2 more answers
Please help out I can’t really love this
77julia77 [94]
<h3>Answer:   Choice B)  45/56</h3>

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

Explanation:

When we divide two fractions like this, we flip the second fraction and multiply like so...

\frac{5}{7} \div \frac{8}{9}\\\\\frac{5}{7} \times \frac{9}{8}\\\\\frac{5 \times 9}{7 \times 8}\\\\\frac{45}{56}\\\\

which points us to choice B as the answer.

The fraction 45/56 cannot be reduced further because 45 and 56 do not have any factors in common other than 1.

6 0
2 years ago
Read 2 more answers
What is 5+x^2=2x^2+13?
pshichka [43]
Take the root of both sides, and solve.

x = 2i sqrt 2, -2i sqrt 2.
4 0
2 years ago
What is 20 % of 21.00 dollars.
timurjin [86]
p\%=\frac{p}{100}\\\\20\%=\frac{20}{100}=0.20=0.2\\\\20\%\ of\ \$21.00=0.2\cdot\$21.00=\boxed{\$4.20}
4 0
3 years ago
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