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4 years ago

Help please. Thanks in advance

Mathematics

1 answer:

anygoal [31]4 years ago

6 0

Since they want only the coordinates of the vertices. You only care about where the lines intersect, the greater than, less than signs are irrelevant.

Get each equation in 'y=mx+b' form
1) y = -x + 9
2) y = 2x-21
3) y = -4x +15

Now you can set any 2 equations equal to each other and solve for 'x'.
This will be the 'x' coordinate of the point where the 2 lines intersect.
You need 3 points, so you will need 3 different sets of 2 equations:

1) = 2)
2x -21 = -x+9
3x = 30
x = 10 -----> y = -(10)+9 = -1

1) = 3)
-x+9 = -4x+15
3x = 6
x = 2 -------> y = -(2) + 9 = 7

2) = 3)
2x - 21 = -4x+15
6x = 36
x = 6 ---------> y = 2(6) -21 = -9

Therefore the 3 intersecting points are:
(10,-1)
(2, 7)
(6, -9)

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With words, we might say: "After 7.5 seconds, Cannon Man was 6.15 feet off the ground."

ValentinkaMS [17]

Answer:

f(7.5)=6.15

Step-by-step explanation:

x=7.5

y= 6.15

Without words you might not understand what is being asked to do.

Well, it has notation in it so when it is turned into function notation you will know how to reverse it and put it back the same way.

6 0

3 years ago

Anyone know this i cant figure it out

allochka39001 [22]

Answer:

True False True

Step-by-step explanation:

1. A circle has 360 degrees in its interior. 360 - 130 (this is given) degrees = 230 degrees. This means it's TRUE

2. The area of the shaded sector is the degrees in the central angle that contains the sector, multiplied by the area of the circle. This means that the area is pi*r^2*angle. The radius is 10, and the angle is 230 degrees, so the answer is 100*230/360 pi = 23000/360 pi, which simplifies to 575/9 pi. This is FALSE.

3. The area of the shaded sector is area of the circle - area of the shaded sector. The area of the circle is pi r^2, which is 100 pi. 100 pi - 575/9 pi = 325pi/9, so this is TRUE

7 0

3 years ago

What is the fraction that is simplified of 39 over 8

kompoz [17]

Nothing, you can't simplify 39/8 more than that

6 0

3 years ago

Two points have the coordinates P (6, -3,9) and Q (3, -6, -3). A point R divides line PQ internally in the ratio 1:2. The positi

Ivanshal [37]

The position vector of P and Q is P = ( 6 i -3j +9k ) , Q = ( 3i -6 j -3k) , the coordinates of R is ( 5 , -4 , 2)

<h3>What is a vector ?</h3>

A vector is an object with both mass and magnitude.

It is given that

The coordinates of

P (6, -3,9 ) and Q (3, -6, -3)

point R divides line PQ internally in the ratio 1:2.

The position vectors of P, Q and R is given by p, q and r respectively.

The position vector of P and Q in terms of i, j, k is is

P = ( 6 i -3j +9k ) , Q = ( 3i -6 j -3k)

The magnitude of P = $\rm \sqrt { 6 ^2 + (-3)^2 + 9^2\\$

|p| = 11.224

The magnitude of Q = $\rm \sqrt { 3^2 + (-6)^2 + ( -3)^2$

|q| = 7.348

The coordinate of R is

if a point (x,y,z) divides the line joining the points (x₁,y₁) ) and (x₂ ,y₂) in the ratio m:n, then

( x, y, z ) = $\rm \dfrac{ mx_2 + nx_1}{m + n} , \dfrac{ my_2 + ny_1}{m + n} , \dfrac{ mz_2 + nz_1}{m + n}$

The m : n = 1 : 2

(x,y,z) = $\rm \dfrac{ 3 + 2*6}{3} , \dfrac{ (-6) + 2*(-3)}{3} , \dfrac{ (-3) + 2*9}{3}$

(x,y,z) = 5 , -4 , 2

Therefore the coordinates of R is ( 5 , -4 , 2)

To know more about Vector

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3 0

2 years ago

Find the Area of the Shaded Region,

snow_lady [41]

Answer:

49ft

Step-by-step explanation:

4×10=40

6×3/2=9

40+9=49

4 0

3 years ago