Well 9 3/4 is 9.75 and 27 1/2 is 27.5 so if we take 27.5 and subtract 9.75 you get 17.75 and then all you have to do is 17.75/2 which is 8.875 so the answer would be 8.875 inches on either side
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
x + 2y = 4
2y = - x + 4
y = -x/2 + 4/2
y = - x/2 + 2
Comparing with the slope intercept form, slope = - 1/2
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the given line.
Therefore, the slope of the line passing through (- 2, 1) is 2
To determine the intercept, we would substitute m = 2, x = - 2 and y = 1 into y = mx + c. It becomes
1 = 2 × - 2 + c = - 4 + c
c = 1 + 4 = 5
The equation becomes
y = 2x + 5
Answer:
BE = 22.4 cm
Step-by-step explanation:
Δ CAB and Δ CDE are similar , then ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
8 CE = 128 ( divide both sides by 8 )
CE = 16 cm
Then
BE = BC + CE = 6.4 + 16 = 22.4 cm
<h2><u>
Answer:</u></h2>
Jared and Pedro walked a total of <u>4.3 miles</u>
<h2><u>
Step-by-step explanation:</u></h2>
- The equation for distance is <u>speed = distance ÷ time.</u>
- Rearrange the equation to make distance the subject:
<em>(multiply both sides by time)</em>
<em> </em><u>Distance = Speed × Time</u>
- Convert your numbers into suitable units:
1 mile ÷ 15 = <u>0.06m/minute</u>
- Finally, substitute the numbers into the equation and solve:
Distance = 0.06 × 65 = <u>4.3miles</u> (rounded to the nearest decimal place)
<h2 />
First we find the common difference...to do this we subtract the first term from the second term. -7 - (-1) = -7 + 1 = -6
now we are going to find the 10th term
an = a1 + (n-1)*d <== formula for finding any term in arithmetic series
a1 = 1st term, d = common difference, n = term we want to find
now we sub
a10 = -1 + (10 -1) * -6
a10 = -1 + (9 * -6)
a10 = -1 - 54
a10 = - 55
now we will find the sum
Sn = (n (a1+ an)) / 2 <== formula for finding the sum
S10 = (10(-1 - 55))/2
S10 = (10(-56) / 2
S10 = -560/2
S10 = - 280
so the sum of the first 10 numbers is -280
