MATHEMATICS HIGH SCHOOL

The orthocenter of an obtuse triangle always lies __________.A.on a vertex of the triangle
B.on the inside of the triangle
C.on the outside of the triangle
D.on the triangle

Answers

Answer 1
Answer: the correct answer is D

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Which of the following sets represents M∪N?{2, 5, 8}
{4, 7}
{3, 4, 6, 7, 9}
{3, 6, 9}

Answers

Answer : {3, 4, 6, 7, 9}

To find the set that represents M∪N, we take union of M  and N

For union of M and N, we consider all the numbers inside the circles M and N.

WE have 9 and 3 inside M. Also we have 6 inside N. 4 and 7 are in the intersection of M and N. So we consider 4 and 7 as well

M∪N = 9,3,6,4 and 7

{3, 4, 6, 7, 9} is the answer.
the 3rd set, you're welcome my dude

Find the slope that passes through (-1, -3) and (-2, 2).A
-5
С
-2
B
-1/5
D
1/3

Answers

Answer:

A.-5

Step-by-step explanation:

I have used an online calculator to check my answer against so this answer is 100% correct. I used "Slope Calculator" by Omni.

PLEASAE MARK BRAINLIEST

Brian wants to build a ramp that leads to a storeroom 5 meters above the ground. He wants the ramp to be 10 meters long. What should the angle of elevation of the ramp be?

Answers

The ladder that extends from the floor to the storeroom makes a right triangle.  The ramp is the hypotenuse measuring 10 m and the elevation of the storeroom is the opposite side. The angle of elevation is the arcsin of the quotient of the 5/10. Thus, the answer is 30 degrees. 

Answer:

30 degrees

Step-by-step explanation:

because i said so

Solve x2 + 20x + 100 = 36 for x.a. x = –16 or x = –4
b. x = –10
c. x = –8
d.x = 4 or x = 16

Answers

x² + 20x + 100 = 36⇒ x² + 20x + 100 - 36 = 0⇒ x² + 20x + 64 =0

Δ = b²-4ac = 20² -4·1·64 = 400-256 = 144

x₁= (-b+√Δ)/2a = (-20+√144)/2·1 = (-20+12)/2 = -8/2 = -4
x₂= (-b-√Δ)/2a = (-20-√144)/2·1 = (-20-12)/2 = -32/2 = -16

x=-4 or x=-16

The solution to the quadratic equation x² + 20x + 100 = 36 is x = 4 or x = -16 option (a) is correct.

What is a quadratic equation?

Any equation of the form \rm ax^2+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\rm x = (-b \pm√(b^2-4ac))/(2a)

We have an quadratic equation:

x² + 20x + 100 = 36

\rm x^2+20x+64=0

a = 1, b = 20, and c = 64

\rm x_(1,\:2)=(-20\pm √(20^2-4\cdot \:1\cdot \:64))/(2\cdot \:1)

After solving:

x = 4 or x = -16

Thus, the solution to the quadratic equation x² + 20x + 100 = 36 is x = 4 or x = -16 option (a) is correct.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ5

9/10( -2/3) ( symplify )

Answers

-3/5 because you multiply 9/10 by -2/3

What number must be added to both sides of the equation to complete the square ?X^2+12x=-6
a)-144
b)36
c)-36
d)144

Answers

first consider (x+c)^2 where c is just a random constant. if we expand this by foil (which is distributive property twice), we get x^2 + 2cx+ c^2. we want to find c^2 and to do that, we can first find c. we can find c by looking at the 2cx term. this term should match with 12x, so therefore 2c = 12 so c = 6. this also implies that c^2 = 36.
note that for this problem i was working backwards which is a very powerful problem solving tool: start with what you want to attain, and then see how you can go from where you are now to get to your destination.

let me know if you have any questions!!!
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