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2 years ago

Solve by substitution X+3y=1 and -3x-3y=-15

1 answer:

3 0

$x+3y=1\\ -3x-3y=-15\\ add\quad the\quad equ.\\ (x+3y)+(-3x-3y)=1-15\\ x-3x+3y-3y=-14\\ -2x=-14\\ x=\frac { -14 }{ -2 } \\ x=7\\ Let's\quad rewrite\quad the\quad equ.\\ 7+3y=1\\ 3y=1-7\\ 3y=-6\\ y=\frac { -6 }{ 3 } \\ y=-2$

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Check all solutions to the equation. If there are no solutions, check "None." x=-81

Elodia [21]

Answer:

none

Step-by-step explanation:

If a squared variable is equal to a negative number, all of the solutions are imaginary

There are no real solutions

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2 years ago

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In the diagram, the measure of angle 6 is 98 degrees. what is the measure of angle 7?

just olya [345]

Answer:

Step-by-step explanation:

180-98. it's easy.

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2 years ago

Find the missing side lengths

Alik [6]

For this triangle in particular, we can use the special rules of a 30-60-90 triangle

This says:
The opposite side of 30° is: x
The opposite side of 60° is: x * sqrt(3)
The opposite side of the 90° is: 2x

We have our side length for 90° so we just have to work backwards
To find our 30° side length we must divide by 2
8/2 = 4
Which means your y = 4

Now that we have our 30° side length we can just multiple it by sqrt(3)

That means your x = 4 sqrt(3)

6 0

2 years ago

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Consider f(x) = 4x^3 – 5, g(x) = 2x + 5 and h(x) =2x^2+2x. Which statement about (f + g – h) is true?

Natalka [10]

$\large{\mathcal{ANSWER:}}$

b) It is a cubic function of 4 terms.

In this case p(3) = t + 2 is synonymous for p = 3 + 2. Remember p is synonymous for y. So in this equation it is p = 5.

$\underline{\boxed{\purple{\tt{©⚘MissyRiel}}}}$

Hope this helps!

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2 years ago

The area of a square is 144cm2.what is the measurement of each side

Dmitry [639]

The area of a square is 144 cm^2. The measurement of each side is 12 cm

Solution:

Given, The area of a square is 144 $cm^2$

We have to find that what is the measurement of each side.

Now, we know that, area of a square = product of side value with another side value.

Let the side value of given square be "s"

Then, Area of square is given as:

$\begin{array}{l}{\text {area of square}=s \times s} \\\\ {\text {Area of square}=s^{2}} \\\\ {144=s^{2}} \\\\ {s=\sqrt{144}} \\\\ {s=\sqrt{12^{2}}}\end{array}$

On cancelling square root and square on right side,we get

s = 12

Hence, the side value of the square is 12 cm.

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2 years ago