Answer:
0.625
Step-by-step explanation:
Given the points :
(0, 4) and (-8, -1)
x1 = 0 ; y1 = 4
x2 = - 8 ; y2 = - 1
Slope, m = rise / run
Rise = y2 - y1 = - 1 - 4 = - 5
Rise = x2 - x1 = - 8 - 0 = - 8
The slope, m = - 5 / - 8
Slope, m = 0.625
Answer: he has 32 quarters and 17 nickels.
Step-by-step explanation:
The worth of a quarter is 25 cents. Converting to dollars, it becomes
25/100 = $0.25
The worth of a nickel is 5 cents. Converting to dollars, it becomes
5/100 = $0.05
Let x represent the number of quarters that he has in her wallet.
Let y represent the number of nickels that she has in her wallet.
He has 49 coins total. This means that
x + y = 49
the total value of the coins is $8.85. This means that
0.25x + 0.05y = 8.85 - - - - - - - - - - 1
Substituting x = 49 - y into equation 1, it becomes
0.25(49 - y) + 0.05y = 8.85
12.25 - 0.25y + 0.05y = 8.85
- 0.25y + 0.05y = 8.85 - 12.25
0.2y = 3.4
y = 3.4/0.2
y = 17
x = 49 - y = 49 - 17
x = 32
Answer:
See below-
Step-by-step explanation:
It depends on if you are transforming O to P or P to O
O to P would be rotate counterclockwise translate down 4
using the point (-3,2) from P and it's corresponding point from O (6,3)
rotate 90 counterclockwise (x,y)--> (-y,x) From point O - (6,3)--> (-3,6)
so after the rotation that point would be at (-3,6) to get the point to (-3, 2) move it down 4. so it is translated down 4
if you are transforming O to P is would be the opposite
rotate 90 clockwise and translate up 4
Answer: 31 ft
Step-by-step explanation: Add all of the sides together. So 5 1/3 + 5 1/3 + 10 1/6 + 10 1/6. Convert to the same denominator (6). 5+5+10+10=30. 2/6+2/6+1/6+1/6=1. And 30+1=31
Answer:
<em>OR </em><em>in </em><em>Decimal</em>,
Step-by-step explanation:
<u>Given:</u>
Two points, that is (5,3) & (8,5)
<u>To Find:</u>
The Distance of the two given points
<u>Solution:</u>
To Find the distance between two points, we will use the <u>distance</u> <u>formula</u>, i.e. :
According to the Question,
Now Substitute the values on the formula of Distance and then Simplify:
<em>[Follow PEMDAS rule while simplifying]</em>
Hence, the distance between the two given points would be or .
I hope this helps!
Have a good day! :)
<em>[Desmos Graph solution is attached]</em>