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2 years ago

On a bicycle, Laura started 4 miles from her house and rides 4 miles per hour away from her house.

Mathematics

1 answer:

mash [69]2 years ago

4 0

Answer:

d = 4 + 4h

Step-by-step explanation:

According to question d is the total distance from Laura's house at time h .

Initial distance from house = 4 miles

speed of Laura = 4 miles per hour

formula for distance = speed * time

distance covered when time is h hours = 4 miles per hour * h hours

= 4h miles

Total distance from house is given as d, hence

d = Initial distance from house (4 miles) + distance covered when time is h hours (4h miles)

d = 4 + 4h

Thus, an equation to model this situation is d = 4 + 4h .

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ExtremeBDS [4]

Answer:

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Step-by-step explanation:

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2 years ago

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What is the image of (-9,-5) after a dilation by a scale factor of 5 centered at the origin?

Novosadov [1.4K]

Answer:

$(-45,-25)$

Step-by-step explanation:

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2 years ago

Write 10 12/5 as an equivalent improper fraction

romanna [79]

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8 0

3 years ago

Pls help me .question no 14

Alex_Xolod [135]

Question 14, Part (i)

Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,

A+B+C+D = 360

A+90+C+90 = 360

A+C+180 = 360

A+C = 360-180

A+C = 180

Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.

==================================================

Question 14, Part (ii)

Let

x = measure of angle 1

y = measure of angle 2

z = measure of angle 3

Back in part (i) above, we showed that y + z = 180

Note that angles 1 and 2 are adjacent to form a straight line, so we can say

x+y = 180

-------

We have the two equations x+y = 180 and y+z = 180 to form this system of equations

$\begin{cases}x+y = 180\\y+z = 180\end{cases}$

Which is really the same as this system

$\begin{cases}x+y+0 = 180\\0+y+z = 180\end{cases}$

The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.

4 0

3 years ago