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scoundrel [369]
3 years ago
9

Does a shape with a right angle always have perpendicular sides? Explain

Mathematics
2 answers:
matrenka [14]3 years ago
6 0

Answer:

If you ever see a little square at the corner of a shape, then you know that not only is this a right angle, and thus, 90 degrees, but that the two lines that form such an angle are perpendicular to one another. Squares and rectangles always have four right angles!

Step-by-step explanation:

Aleks [24]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

A right angle means that the lines will create an L or X or T when they intersect. This is exactly the definition of perpendicular, that the shapes will intersect and create at least one right angle.

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Factor the polynomial and use the zeros to identify its graph. x4 − 5x3 − 20x2 + 60x + 144
Monica [59]

The zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

<h3>How to factor the polynomial?</h3>

The polynomial is given as:

P(x) = x^4 - 5x^3 - 20x^2 + 60x + 144

Expand the polynomial function

P(x) = x^4 - 10x^3 + 5x^3 + 24x^2 - 50x^2 + 6x^2 + 120x - 60x + 144

Rewrite the function as:

P(x) = x^4 - 10x^3 + 24x^2 + 5x^3 - 50x^2 + 120x + 6x^2 - 60x + 144

Factorize the function

P(x) = x^2(x^2 - 10x + 24) + 5x(x^2 - 10x + 24) + 6(x^2 - 10x + 24)

Factor out x^2 - 10x + 24

P(x) = (x^2 + 5x + 6)(x^2 - 10x + 24)

Expand each bracket

P(x) = (x^2 + 3x + 2x + 6)(x^2 - 4x - 6x + 24)

Factorize each bracket

P(x) = [x(x + 3) + 2(x + 3)][x(x - 6) - 4(x - 6)]

Factor out x + 3 and x - 6

P(x) = (x + 3)(x + 2)(x - 4)(x - 6)

Set to 0

(x + 3)(x + 2)(x - 4)(x - 6) = 0

Solve for x

x =-3, -2, 4 and 6

Hence, the zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

Read more about polynomials at:

brainly.com/question/20896994

5 0
2 years ago
25 PTS BRAINLIEST HELP
soldi70 [24.7K]

Answer:

= 22 + 3,0 + 1 = 36

= -20 + 3 = -17

= -62 + 10 = -52

= 2 x (-7) = -14

= (-322) - 30 + 11 = 281

Follow me // i'm Followback you

8 0
3 years ago
Which equation could be used to find the height of the flagpole
Sauron [17]
X = height of pole (in meters)

With respect to the 50 degree angle, the side x is the opposite leg. It is the leg furthest from the reference angle. The hypotenuse is 5 meters. 

The trig function sine ties together the opposite and hypotenuse

sin(angle) = opposite/hypotenuse
sin(50) = x/5
5*sin(50) = x .... multiply both sides by 5
x = 5*sin(50)

------------------

Since x = 5*sin(50) isn't listed as an answer choice, let's try using cosine. We can't use it right away because we don't know the adjacent side. What we can do is change the reference angle. The missing angle of the triangle is 90-50 = 40 degrees. Let's make the 40 degree angle the reference angle

So x is now the adjacent side with respect to the 40 degree reference angle. The hypotenuse is always the longest side. The hypotenuse stays at 5.

cos(angle) = adjacent/hypotenuse
cos(40) = x/5
5*cos(40) = x
x = 5*cos(40)

This expression is listed. The answer is choice B

4 0
2 years ago
Mrs. Kimpton had the students in her crafts class sew pillows. She inspected each pillow to make sure it was satisfactory before
Jobisdone [24]
Your answer would be 26. sorry if i'm wrong 


8 0
2 years ago
F(x)=-3x-4 what's the Inverness function ?
AnnZ [28]
First make x the subject:-

3x = F(x) + 4

x  = (F(x) + 4) / 3

f(-1(x)  = (x + 4) / 3  answer
3 0
2 years ago
Read 2 more answers
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