MATHEMATICS HIGH SCHOOL

Plz help A right triangle has legs with lengths 7 cm and 24 cm.What is the length of the hypotenuse?

Answers

Answer 1

Answer: C²=A²+B²
C²= 7² + 24²
C²= 49 + 576
C²= 625
C=√625
C=25

Answer 2

Answer:

Answer:

C = 25 Centimeters

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Tamara says that 15 / 3 = 5 is she correct ? explain

Answers

Yes, Tamara is correct. If you multiply 5 to 3 to check your answer you will get 15.

Consider the function y=x^2+5x-2 . What would happen to the graph if (x + 5) was substituted in place of the x?A. The graph would shift 5 units to the right.
B. The graph would shift down 5 units.
C. The graph would shift up 5 units.
D. The graph would shift 5 units to the left.
Consider the function y=x^2+5x-2 . What would happen to the graph if (x + 5) was substituted in place of the x?

A. The graph would shift 5 units to the right.
B. The graph would shift down 5 units.
C. The graph would shift up 5 units.
D. The graph would shift 5 units to the left.

Answers

"The graph would shift 5 units to the left" is the one among the following choices given in the question that describes what would happen to the graph if (x + 5) was substituted in place of the x. The correct option among all the options that are given in the question is the last option or the fourth option or option "D".

Answer:

Option: D is the correct answer.

D. The graph would shift 5 units to the left.

Step-by-step explanation:

We know that the transformation of a function f(x) to f(x+a) is a shift of the function either to the left or to the right by a units depending on the sign of a i.e. if a>0 then the shift is a units to the left

and if a<0 then the shift is a units to the right.

Here we have:

$y=x^2+5x-2$ is converted to:

$y=(x+5)^2+5(x+5)-2$

Here we have a=5>0

Hence, the shift is 5 units to the left.

Consider the function f(x)=sin(2x)-1 and g(x)= 2 cos^2(x), both with domain [0,phi]. the line x = p intersects the graph of f in point A and the graph of g in point B. calculate the value of p for which the length of segment AB is maximal. Thank you please kindly answer this question

Answers

I think the correct value of p is 2.9 when dealing with this question. Since AB is a vertical line between f(x) and g(x), you know you subtract the upper function by the lower function to find the distance between them. In other words you are tying to find the x value (which can also be thought of as p) that produces the greatest value when g(x) is subtracted from f(x). The reason why g(x) is subtracted by f(x) is that g(x) is above f(x) over the domain of 0 to pi.
I found p by making the function d(x)=g(x)-f(x). Then I took the derivative of d(x) and found when the derivative of d(x) equals 0 since that indicates a maximum or a minimum of the function d(x). their ended up being 2 points from 0 to pi where the derivative of d(x) equaled 0. one at 2.9 and the other at 1.34. The value at 1.34 is a minimum and therefore can't be the right answer. The value at 2.9 is a maximum and is therefore the correct answer.
By the way I did all of my work on a graphing calculator which makes these types of questions a lot easier since it makes it so that you don't have to do it by hand.
I hope this helps. Let me know if I got anything wrong in the comments so that I can try to fix it.

Find the sum of the given polynomials.ax + by + c, 2ax - 3by + c, and by - c

3ax - by + c
3a + x - bc
3ax + by - cd
bx - 3bc + a

Answers

ax + by + c
2ax - 3by + c
by - c
3ax - by + c First Option.

You must align like terms before adding them. This is to ensure that there will be no confusion in getting the sum of the given polynomials.

If you would like to find the sum of the given polynomials, you can do this using the following steps:

ax + by + c + 2ax - 3by + c + by - c = ax + 2ax + by - 3by + by + c + c - c = 3ax - by + c

The correct result would be 3ax - by + c.

Factor completely and then place the factors in the proper location on the grid.b 2 + 12b + 32

Answers

Answer:

$(b+4)(b+8)$

Step-by-step explanation:

The given quadratic trinomial is

$b^2+12b+32$

We split the middle term to obtain;

$b^2+8b+4b+32$

We factor to get;

$b(b+8)+4(b+8)$

We factor further to get;

$(b+4)(b+8)$

The fully factored form of this expression would be:

(B+8)(B+4).

Please please please help

Answers

Answer:

Isosceles

Step-by-step explanation:

If BD is an altitude, it splits triangle ABC into 2 triangles. It is also a median, so it splits the angle ABC into 2 congruent angles. Angle ABD and CBD are congruent. That means that angles A and C are congruent. This is true because the 2 angles at D are both right angles. Because of this, side AB and side CB are congruent. That means that this is an isosceles triangle.

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