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Morgarella [4.7K]
3 years ago
5

Can someone help please

Mathematics
1 answer:
faltersainse [42]3 years ago
5 0

Answer:

9>x>-3

Step-by-step explanation:

1) first lets write 2 inequalities:

9>x  and -3<x

remember -3 is less than x is the same as x is greater than -3

so I can write -3<x as

x>-3

so 9 is greater than "x" and "x" is greater than -3.....Is there any way we can combine these inequalities?

fortunately, there is a way! combing 2 inequalities as one is called a compound inequality

so 9 is greater than x:

9>x

and x is greater than -3

9>x>-3

boom!

Hope this helps!

(to solve the inequality just take the compound inequality as two seperate inequalities)

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Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 16
s344n2d4d5 [400]

Answer:

k=3

Step-by-step explanation:

Let

f(x)=2x^3+18x^2-18x-162

We factor 2 to obtain;

f(x)=2(x^3+9x^2-9x-81)

We factor the polynomial within the parenthesis by grouping.

f(x)=2(x^2(x+9)-9(x+9)

f(x)=2(x^2-9)(x+9)

f(x)=2(x^2-3^2)(x+9)

We apply difference of two squares on the second factor: x^2-3^2=(x-3)(x+3)

f(x)=2(x+3)(x-3)(x+9)

We now compare to;

f(x)=2(x+k)(x-k)(x+9)

It is now obvious that k=3

6 0
3 years ago
The vertices of a triangle are located at X(-2,-1), Y(2,5) and Z(4,3). What is the perimeter of this triangle?
Lana71 [14]
If you plot the points you will find you have to use the distance formula. Pick out 2 pairs label them (x1,y1) (x2,y2) then plug it into the distance formula. The repeat for the other sides. So you should get (2,5) (4,3) plug into distance formula what is get it distance between those two points, then (4,3) (-2,-1) plug into distance formula to get an answer, lastly (-2,-1) (2,5) plug in. Now you have three answers add all together and here is your perimeter of a triangle.
3 0
3 years ago
Help me from 6-9 (geometry)
elena55 [62]

Answer:

6) Two angles are called supplementary when their measures add up to 180 degrees. For example, two right angles are supplementary angles.

7) When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

8) you have to plot the points on the graph and draw a line and label it with L at one point and M at another point.

9) x = 20

m < A = 65

m < B = 25

Step-by-step explanation:

9)

3x + 5 + 2x - 15 = 90

3x + 2x + 5 - 15 = 90

5x - 10 = 90

5x - 10 + 10 = 90 + 10

5x = 100

5 / 5x = 100 / 5

x = 20

A = 3x + 5

A = 3(20) + 5

A = 60 + 5

A = 65

B = 2x - 15

B = 2(20) - 15

B = 40 - 15

B = 25

8 0
3 years ago
9. The endpoints of a diameter of a circle are A (2,1) and B(5,5). Find the area of the circle in terms of . (1 point)
Georgia [21]

Answer:

Area of the circle is 6.25π sq.unit

Step-by-step explanation:

The centre of the circle is at the mid point of a diameter. Th mid point of the diameter is at (5+22,5+12)or(72,3),which is centre. Radius is the distance from end point (5,5)to centre (72,3)∴r=√(5−72)2+(5−3)2=√1.52+4=√6.25=2.5∴

Area of the circle is Ac=π⋅r2=π⋅2.52=6.25π sq.unit[Ans]

5 0
3 years ago
Read 2 more answers
Solve for w.<br> 2w=12-4w<br> Simplify your answer as much as possible.
aev [14]
So we have an equation:
2w=12-4w
Firstly, let's simplify, and divide all terms by 2:
w=6-2w
Now, we add 2w over to the other side:
3w=6
And finally, we divide both sides by 3:
w=2
Hope this helps!
6 0
3 years ago
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