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serious [3.7K]
3 years ago
13

Wyatt hiked 6 miles in 2 hours at the same rate what is the total number of miles Wyatt could hike in 9 hours

Mathematics
2 answers:
Jobisdone [24]3 years ago
8 0
27 miles. Because in one hour he does 3 miles so in 9 hours he does 27
masha68 [24]3 years ago
3 0
27 because 6 every 2 hours
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Without plotting points, let M=(-2,-1), N=(3,1), M'= (0,2), and N'=(5, 4). Without using the distanceformula, show that segments
kramer

Given:

M=(x1, y1)=(-2,-1),

N=(x2, y2)=(3,1),

M'=(x3, y3)= (0,2),

N'=(x4, y4)=(5, 4).

We can prove MN and M'N' have the same length by proving that the points form the vertices of a parallelogram.

For a parallelogram, opposite sides are equal

If we prove that the quadrilateral MNN'M' forms a parallellogram, then MN and M'N' will be the oppposite sides. So, we can prove that MN=M'N'.

To prove MNN'M' is a parallelogram, we have to first prove that two pairs of opposite sides are parallel,

Slope of MN= Slope of M'N'.

Slope of MM'=NN'.

\begin{gathered} \text{Slope of MN=}\frac{y2-y1}{x2-x1} \\ =\frac{1-(-1)}{3-(-2)} \\ =\frac{2}{5} \\ \text{Slope of M'N'=}\frac{y4-y3}{x4-x3} \\ =\frac{4-2}{5-0} \\ =\frac{2}{5} \end{gathered}

Hence, slope of MN=Slope of M'N' and therefore, MN parallel to M'N'

\begin{gathered} \text{Slope of MM'=}\frac{y3-y1}{x3-x1} \\ =\frac{4-(-1)}{5-(-2)} \\ =\frac{3}{2} \\ \text{Slope of NN'=}\frac{y4-y2}{x4-x2} \\ =\frac{4-1}{5-3} \\ =\frac{3}{2} \end{gathered}

Hence, slope of MM'=Slope of NN' nd therefore, MM' parallel to NN'.

Since both pairs of opposite sides of MNN'M' are parallel, MM'N'N is a parallelogram.

Since the opposite sides are of equal length in a parallelogram, it is proved that segments MN and M'N' have the same length.

7 0
1 year ago
Select True or False for each equation
7nadin3 [17]
True, false, false, true
7 0
3 years ago
Read 2 more answers
Plsss help me:((( I really need it now:(((​
pochemuha

Step-by-step explanation:

1. y--7=-2(x-0)

y+7=-2x

y=-2x-7

2. y--3=-2(x-1)

y+3=-2x+2

y=-2x+2-3

y=-2x-1

8 0
2 years ago
Need help with this question
OverLord2011 [107]

Given: a quadratic function with vertex (2,3) opening upward .

Find: the given statement is true or false.

Explanation: if parabola has a vertex at (2,3) and opens upward, it has one real solution., (2,3) will be a lowest point. The vertex will be at lowest point, it will be minimum.

that means graph has no one real solution. hence it will never going to intersect. so this statement is false.

Final answer: the given statement is FALSE.

7 0
1 year ago
Evaluate the function at the given value and simplify.
Licemer1 [7]

Answer:

The correct option is b.

Step-by-step explanation:

The given function is

f(x)=-5x+1

We need to find the value of f(-2). It means we have to find the value of given function at x=-2.

Substitute x=-2 in the given function to find the value of f(-2).

f(-2)=-5(-2)+1

On simplification we get

f(-2)=10+1

f(-2)=11

The value of f(-2) is 11. Therefore the correct option is b.

8 0
3 years ago
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