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Aleonysh [2.5K]
3 years ago
13

Solve the system of equations by the addition method. 3x - 5y = 7 8x + 10y = 14

Mathematics
1 answer:
erik [133]3 years ago
3 0

Answer:

(2, -1/5)

Step-by-step explanation:

I used the elimination method

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Please help me out thank you.​
natulia [17]

Answer:

the answer is D {-5, -13}

6 0
3 years ago
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
Element X is a radioactive isotope such that every 9 years, its mass decreases by half. Given that the initial mass of a sample
4vir4ik [10]

Answer:

2.9 years

Step-by-step explanation:

Given that :

Half-life t1/2 = 9 years

Initial mass = I = 70 grams

A = final mass = 56 grams

t = time taken to reach final amount

Using the exponential half life relation :

A = I(0.5)^t/t1/2

56 = 70(0.5)^t/9

56/70 = 0.5^t/9

0.8 = 0.5^t/9

Log 0.8 = log 0.5^t/9

−0.096910 = −0.301029 * t/9

t/9 = 0.096910 / 0.301029

t/9 = 0.3219291

t = 0.3219291 * 9

t = 2.8973619

t = 2.9 years

5 0
2 years ago
Let f(x) = -3x + 2 and g(x) = 2x – 5;<br> compute g(f(x))
ki77a [65]

Answer:

g(f(x)) = -6x+6.

Step-by-step explanation:

It is given that,

f(x) = -3x + 2 and g(x) = 2x – 5

We need to find g(f(x)).

Put it into g(x).

g(f(x)) = 2(-3x + 2)+2

= -6x+4+2

=-6x+6

Hence, the value of g(f(x)) is -6x+6.

8 0
2 years ago
Which of the following could be the third side of an obtuse triangle with the other two side lengths of 6 and 7.
Nataly_w [17]
Pythagorean theorem.
a^2+b^2=c^2
6^2+7^2=c^2
36 + 49 = c^2
85 = c^2
sqrt of 85 = 9.22

So the best answer would be C. 9
4 0
3 years ago
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