What is the area of the triangle?

What is 49 to the power 1/2

lubasha [3.4K]

Hello again!

49 ^1/2 = 7

I hope this help!

7 0

3 years ago

Which of the following is correct about parallel lines?

Wewaii [24]

Answer:

C. Nonvertical parallel lines will have the same slope but different y-intercepts.

Step-by-step explanation:

Parallel lines never intersect, so they must have the same slope. The reason why option A is incorrect is because if they had the same y-intercept, they would be considered the same line directly on top of each other, and parallel lines never touch. :)

7 0

3 years ago

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions

liq [111]

Answer:

The function has two real roots and crosses the x-axis in two places.

The solutions of the given function are

x = (-0.4495, 4.4495)

Step-by-step explanation:

The given quadratic equation is

$G(x) = -x^2 + 4x + 2$

A quadratic equation has always 2 solutions (roots) but the nature of solutions might be different depending upon the equation.

Recall that the general form of a quadratic equation is given by

$a^2 + bx + c$

Comparing the general form with the given quadratic equation, we get

$a = -1 \\\\b = 4\\\\c = 2$

The nature of the solutions can be found using

If $b^2- 4ac = 0$ then we get two real and equal solutions

If $b^2- 4ac > 0$ then we get two real and different solutions

If $b^2- 4ac < 0$ then we get two imaginary solutions

For the given case,

$b^2- 4ac \\\\(4)^2- 4(-1)(2) \\\\16 - (-8) \\\\16 + 8 \\\\24 \\\\$

Since 24 > 0

we got two real and different solutions which means that the function crosses the x-axis at two different places.

Therefore, the correct option is the last one.

The function has two real roots and crosses the x-axis in two places.

The solutions (roots) of the equation may be found by using the quadratic formula

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(4)\pm\sqrt{(4)^2-4(-1)(2)}}{2(-1)} \\\\x=\frac{-4\pm\sqrt{(16 - (-8)}}{-2} \\\\x=\frac{-4\pm\sqrt{(24}}{-2} \\\\x=\frac{-4\pm 4.899}{-2} \\\\x=\frac{-4 + 4.899}{-2} \: and \: x=\frac{-4 - 4.899}{-2}\\\\x= -0.4495 \: and \: x = 4.4495 \\\\$

Therefore, the solutions of the given function are

x = (-0.4495, 4.4495)

A graph of the given function is also attached where you can see that the function crosses the x-axis at these two points.

6 0

3 years ago

Find the value of c that makes the expression a perfect square trinomial.

Bingel [31]

Answer:

c = 3.24

(x+1.8)²

Step-by-step explanation:

The question wants you to fill in the last term.

To find the last term, you must use the formula (b/2)^2.

Let's use this formula for the equation you gave: x²+3.6x+c

c = (b/2)²

c = (3.6/2)²

c = 3.24

That is the value of c.

Let's plug in c in the last term for better understanding.

x²+3.6x+3.24 is now factorable.

You can complete the square or use the quadratic formula to factor.

The factored form will turn out to be : (x+1.8)²

4 0

3 years ago

In the regression equation y = -1.2x + 102.45, x represents the number of cloudy school days and y represents the percent of sch

MAVERICK [17]

Answer:

B.80.85%

Step-by-step explanation:

The equation shows that the percent of school attendance depends on cloudy days, in a negative way, which means that the more cloudy days, the less the percentage of students that go to school.

Particular, when there are 18 cloudy days, x takes a value of 18, x=18,
This means that y= -1.2 (18) + 102.45 which equals 80.85%.

4 0

3 years ago