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dolphi86 [110]
3 years ago
15

Harold move no more than 43 of his sheep and goats into another field. fewer than 22 this animals are goats.

Mathematics
1 answer:
user100 [1]3 years ago
8 0
A is the answer
I think
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Solve this system of equations: y = 7; y = -2x+1 *
Gnoma [55]

Answer:

x = -3

y = 7

Step-by-step explanation:

y = -2x + 1

7 = -2x + 1

<u>-1           -1 </u>

6 = -2x

divide by -2

x = -3

6 0
3 years ago
Read 2 more answers
2) Line segment MK has endpoints at (2, 3) and (5, ?4). Segment M'K' is the reflection of MK over the y-axis. Which statement de
Marianna [84]

Answer:

Option C -M'K' is the same length as MK

Step-by-step explanation:

Given : Line segment MK has endpoints at (2, 3) and (5,4)

               M'K' is the reflection of MK over the y-axis

By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)

which implies M'K' has end points (-2,3) and (-5,4)

Now, we find the length of MK

let (x_1,y_1)=(2,3)\\\\(x_2,y_2)=(5,4)

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

⇒ d=\sqrt{(2-5)^2+(4-3)^2}

⇒d=\sqrt{9+1}

⇒d=\sqrt{10}   ....(1)

Now, we find the length of M'K'

let (x_1^{'},y_1^{'})=(-2,3)\\\\(x_2^{'},y_2^{'})=(-5,4)

d^{'}=\sqrt{(x_2^{'}-x_1^{'})^2+(y_2^{'}-y_1^{'})^2}

⇒ d^{'}=\sqrt{(-2+5)^2+(3-4)^2}

⇒d^{'}=\sqrt{9+1}

⇒d^{'}=\sqrt{10} .....(2)

from (1) and (2) we simply show that the length of MK and M'K' is equal

we can also refer the figure attached for reflection of MK and M'K'

therefore, Option C is correct


3 0
3 years ago
Read 2 more answers
Sam has 3/4 of a can of hot chocolate mix. To make a cup of hot chocolate, Sam adds hot water to one scoop of mix. The scoop hol
Mashutka [201]
Sam could make 18 cups
3 0
3 years ago
Read 2 more answers
True or False: If we have an integer primal solution with cost C and a fractional dual solution with cost at least C/2, the size
maria [59]

Answer:

True

Step-by-step explanation:

The size of the vertex cover is atleast twice the size of the maximum edge. Vertex must contain atleast one vertex from the matched edge. Vertex are never the strong dual solutions of each other.

3 0
3 years ago
The following figures are not drawn to scale but AB and CD are straight lines. Find x
astraxan [27]

Answer:

x=45

Step-by-step explanation:

Since AB is a straight line, it is 180 degrees

AOE + EOF + FOD + DOB = 180

15+x+2x+120-2x = 180

Combine like terms

135 +x = 180

Subtract 135 from each side

135-135 +x = 180 -135

x = 45

5 0
3 years ago
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