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USPshnik [31]
4 years ago
9

Solve the system by substitution 5x+3y=8 3x+y=8

Mathematics
1 answer:
Yakvenalex [24]4 years ago
4 0
3x+y=8
y=8-3x

5x+3(8-3x)=8
5x+24-9x=8
-4x+24=8
-4x=-16
x=4

5x+3y=8
5(4)+3y=8
20+3y=8
3y=-12
Y=-4

5x+3y=8
5(4)+3(-4)=8
20+-12=8
8=8
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HELP ASAP I WILL GIVE BRAINLIEST
melomori [17]

Answer:

x = 15

Step-by-step explanation:

The easiest way to solve this is to realise that a triangle takes up half the area of a rectangle of the same width and height.

We are told that the width of the triangle is 10, and that the line of length 10 is perpendicular to the longest side of the triangle.  Because of that we know that x can be multiplied by ten to get the area of the rectangle that is twice the area of the triangle.

We are also told that the triangle's area is 75 units.  With all of that put together, we can say:

a = (10 * x) / 2\\75 = 5 * x\\x = 15

3 0
3 years ago
Help help help pls :)
kykrilka [37]

Answer:

opposite\approx 70.02

Step-by-step explanation:

The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;

sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}

Please note that the names (opposite) and (adjacent) are subjective and change depending on the angle one uses in the ratio. However the name (hypotenuse) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.

In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent (tan) ratio.

tan(\theta)=\frac{opposite}{adjacent}

Substitute,

tan(35)=\frac{opposite}{100}

Inverse operations,

tan(35)=\frac{opposite}{100}

100(tan(35))=opposite

Simplify,

100(tan(35))=opposite

70.02\approx opposite

4 0
2 years ago
Which of these is the standard form of the following function?
Step2247 [10]
I’m pretty sure the answer would be B
3 0
3 years ago
Read 2 more answers
Solve for y in the equation:<br> y over 5 = -15
nikdorinn [45]

Answer:

y = -75

Step-by-step explanation:

Simplify both sides of equation

1/5y = -15

multiply both side by 5

1/5y * 5 = -15 * 5

y = -75

8 0
3 years ago
Read 2 more answers
Hey can you please help me posted picture of question
marta [7]
Two transformations occur on F(x) to obtain G(x).

a) Multiplication by -1
This means, the function is reflected across x-axis

b) Multiplication by 5.
This means vertical stretch by a factor of 5.

So, G(x) can be obtained by reflecting F(x) across x-axis and stretching it vertically be a factor of 5.

So, the correct answer is option B
7 0
3 years ago
Read 2 more answers
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