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jeka57 [31]
3 years ago
12

Solve system of linear equations by graphing. -2x - 5y = -10 3x + 6y= 18

Mathematics
1 answer:
astraxan [27]3 years ago
4 0

Answer:

this is the answer bb

Step-by-step explanation:

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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown
kiruha [24]

Answer:

The other endpoint is (-33, 17)

Step-by-step explanation:

The rule of the mid-point of a segment whose endpoints are

(x_{1}, y_{1}) and (x_{2}, y_{2}) is

  • (x_{M},y_{M})  = (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

In our question

∵ The coordinates of the endpoints of a segment are (-15, 13) and (x, y)

∴ x_{1} = -15 and x_{2} = x

∴ y_{1} = 13 and y_{2} = y

∵ The coordinates of the mid-point of this segment are (-24, 15)

∴ x_{M} = -24 and y_{M} = 15

→ Use the rule of the mid-point to find x and y

∵ -24=\frac{-15+x}{2}

→ Multiply both sides by 2

∴ -48 = -15 + x

→ Add 15 to both sides

∴ -33 = x

∵ 15=\frac{13+y}{2}

→ Multiply both sides by 2

∴ 30 = 13 + y

→ Subtract 13 from both sides

∴ 17 = y

∴ The other endpoint is (-33, 17)

5 0
3 years ago
In this diagram, if Z is the centroid of ABC and CT = 15, what is ZT? A. 5 B. 7.5 C. 10 D. 30
Kisachek [45]
The answer is A........5
3 0
3 years ago
“The sum of half a number and 12 is 6”
lianna [129]

<u>Solution</u> :

Let, the number be A

Given, A/2 + 12 = 6

⇒ (A + 24)/2 = 6

⇒ A + 24 = 12

⇒ A = 12 - 24

⇒ A = - 12

∴ the required number is (- 12). (Ans.)

7 0
3 years ago
Read 2 more answers
Find the length of diagonal XU in the hexagon below. Round your solution to 2 decimal points
SpyIntel [72]

Answer:

The length of diagonal XU is 6.40 units

Step-by-step explanation:

* Lets explain how to find the distance between two points

- The rule of the distance between two points (x_{1},y_{1})

 and (x_{2},y_{2}) is:

 d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

* Lets solve the problem

-From the attached figure:

- The coordinates of the vertex X are (2 , 2)

- The coordinates of the vertex U are (-2 , 7)

∴ The point (x_{1},y_{1}) = (2 , 2)

∴ The point (x_{2},y_{2}) = (-2 , 7)

∴ x_{1}=2,x_{2}=-2

∴  y_{1}=2,y_{2}=7

∵ d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

∴ d=\sqrt{(-2-2)^{2}+(7-2)^{2}}=\sqrt{(-4)^{2}+(5)^{2}}=\sqrt{16+25}=\sqrt{41}

∵ \sqrt{41}=6.403124

∴ d = 6.40

* The length of diagonal XU is 6.40 units

6 0
3 years ago
A tree casts a shadow that is about 10 ft long. Javier, who is about 5 ft tall, is standing near the tree. Javier’s shadow is ab
Tju [1.3M]

10              4     ,  so basically you cross multiply : 10x=20 .... 20 divided by 10 is 2 . x=2

___   =        ___

5               x

5 0
3 years ago
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