Answer:
Step-by-step explanation:
5= ![\frac{c}{4\\}](https://tex.z-dn.net/?f=%5Cfrac%7Bc%7D%7B4%5C%5C%7D)
Use Photomath it shows work and it explains it
Answer:
310
Step-by-step explanation:
20*4=80
20*5.2=104
20*5.25=105
4*5.25=21
80+104+105+21=310
Hope this helps
<u>Answer:</u>
The right graph is the first one (figure attached).
Note that in a Speed vs Time graph, the constant speed is represented by a line with slope=0 <u>(for example, segment 1)</u>, when the speed increases the slope is positive <u>(for example, segment 2)</u> and when the speed decreases the slope is negative <u>(for example, segment 4).</u>
Now, if we want to prove this, let’s read again the problem, <u>dividing each section of the path Marc drove to his work</u> (see figure attached):
1. He slowly pulls out of his driveway at a <u>constant speed
</u>
2. and then his <u>speed increases</u> steadily
3. until he reaches the speed limit. He uses cruise control to drive the speed limit <u>(he drives at constant speed)</u>
4. until he comes upon some traffic
(usually if you find some traffic you have to <u>derease your spped</u>)
5. He then slows down to a new <u>constant speed</u>.
6. When he gets near his office, his <u>speed steadily decreases</u> until he comes to a stop right in front of his office building <u>(at this point the speed is zero)</u>
The equation of line that passes through the point(5,-3) and is parallel to the line 4x-5y=45 is: ![y = \frac{4}{5}x-7](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B4%7D%7B5%7Dx-7)
Step-by-step explanation:
Given equation is:
![4x-5y = 45](https://tex.z-dn.net/?f=4x-5y%20%3D%2045)
First of all we have to convert the equation in slope-intercept form
So,
![4x - 45 = 5y\\5y = 4x-45\\\frac{5y}{5} = \frac{4x-45}{5}\\y = \frac{4x}{5} -\frac{45}{5}\\y = \frac{4}{5}x - 9](https://tex.z-dn.net/?f=4x%20-%2045%20%3D%205y%5C%5C5y%20%3D%204x-45%5C%5C%5Cfrac%7B5y%7D%7B5%7D%20%3D%20%5Cfrac%7B4x-45%7D%7B5%7D%5C%5Cy%20%3D%20%5Cfrac%7B4x%7D%7B5%7D%20-%5Cfrac%7B45%7D%7B5%7D%5C%5Cy%20%3D%20%5Cfrac%7B4%7D%7B5%7Dx%20-%209)
Let m1 be the slope of given line and m2 be the slope of required line
The coefficient of x is the slope of the line, so
m1 = 4/5
As the required line is parallel to given line, both will have equal slopes
m2 = 4/5
Slope-intercept form is:
![y = m_2x+b](https://tex.z-dn.net/?f=y%20%3D%20m_2x%2Bb)
Putting the value of m2
![y = \frac{4}{5}x +b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B4%7D%7B5%7Dx%20%2Bb)
Putting the point (5,-3) in the equation
![-3 = \frac{4}{5} (5) +b\\-3 = 4+b\\b = -3-4\\b = -7](https://tex.z-dn.net/?f=-3%20%3D%20%5Cfrac%7B4%7D%7B5%7D%20%285%29%20%2Bb%5C%5C-3%20%3D%204%2Bb%5C%5Cb%20%3D%20-3-4%5C%5Cb%20%3D%20-7)
Putting the value of b
![y = \frac{4}{5}x-7](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B4%7D%7B5%7Dx-7)
Hence,
The equation of line that passes through the point(5,-3) and is parallel to the line 4x-5y=45 is: ![y = \frac{4}{5}x-7](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B4%7D%7B5%7Dx-7)
Keywords: Slope, equation of line
Learn more about equation of line at:
#LearnwithBrainly