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kompoz [17]
3 years ago
8

Find the slope of the line that passes through each pair of points. A (1,2) B (4,7)

Mathematics
2 answers:
V125BC [204]3 years ago
5 0
The slope would be 3/5
tensa zangetsu [6.8K]3 years ago
4 0
I will try to explain as best as I can. The equation to solve this is y2-y1
M= ———
x2-x1
This gives you: 7-2
——- = 5
4-1 ———
3


Your slope is m= 5
——
3
Hope this helps.
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The high school band is selling wrapping paper. It costs $4 each week to advertise the wrapping paper. The band buys each roll o
Setler79 [48]
For this case, the first thing we must do is define variables:
 x: rolls of wrapping paper in one week
 We now write the equation that models the profit of the band.
 We have then:
 P (x) = (3.50 - 2) x - 4
 P (x) = 1.50x - 4
 Answer:
 
An equation to model the amount of profit, P, the band makes from x rolls of wrapping paper in one week is:
 
P (x) = 1.50x - 4
8 0
3 years ago
Which of the following shows that EFGH is a parallelogram for y=7 and z=9?
Anna35 [415]

Option B: m \angle F=m \angle G=120^{\circ} and m \angle E=60^{\circ}, so \angle E is supplementary to both \angle F and \angle G, so EFGH is a parallelogram.

Option C: m \angle F=m \angle G=120^{\circ} so EFGH is a parallelogram.

Option D: m \angle E+m \angle G=180^{\circ} so EFGH is a parallelogram.

Explanation:

Option A: m \angle E=m \angle F=60^{\circ} and m \angle G=120^{\circ} so \angle G is supplementary to both \angle E and \angle F, so EFGH is a parallelogram

Let us substitute y=7 and z=9 in m \angle E=(7y+11)^{\circ}, m \angle F=(17y+1)^{\circ} and m \angle G=(14z-6)^{\circ} to determine the exact measures the angles of the parallelogram.

Substituting, we get, m \angle E=60^{\circ}, m \angle F=m \angle G=120^{\circ}

Thus, m \angle E\neq m \angle F because the measures of these angles are not equal.

Hence, Option A is not the correct answer.

Option B:  m \angle F=m \angle G=120^{\circ} and m \angle E=60^{\circ}, so \angle E is supplementary to both \angle F and \angle G, so EFGH is a parallelogram.

Let us substitute y=7 and z=9 in m \angle E=(7y+11)^{\circ}, m \angle F=(17y+1)^{\circ} and m \angle G=(14z-6)^{\circ} to determine the exact measures the angles of the parallelogram.

Thus, substituting, we have, m \angle E=60^{\circ}, m \angle F=m \angle G=120^{\circ}

Hence, Option B is the correct answer.

Option C: m \angle F=m \angle G=120^{\circ} so EFGH is a parallelogram.

To determine the angles, let us substitute z=9 in  m \angle F=(17y+1)^{\circ} and m \angle G=(14z-6)^{\circ}

Thus, m \angle F=m \angle G=120^{\circ}

Since, the opposite angles of a parallelogram are equal, EFGH is a parallelogram.

Hence, Option C is the correct answer.

Option D: m \angle E+m \angle G=180^{\circ} so EFGH is a parallelogram.

Let us substitute y=7 and z=9 in m \angle E=(7y+11)^{\circ}, m \angle F=(17y+1)^{\circ} and m \angle G=(14z-6)^{\circ} to determine the exact measures the angles of the parallelogram.

Substituting, we have, m \angle E=60^{\circ}, m \angle F=m \angle G=120^{\circ}

Adding the angles E and G, we have,

m \angle E+m \angle G=60^{\circ}+120^{\circ}=180^{\circ}

By the property of parallelogram, any two adjacent angles add upto 180.

Thus, the adjacent angles E and G add upto 180.

Hence, Option D is the correct answer.

3 0
3 years ago
Page No 9s is it possible to have a triangle with following sides? 4.cm, 5cm, 6cm​
KIM [24]

Answer:

yes it's possible

Step-by-step explanation:

In any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. ... This sum must be greater than the length of the longest side.

6 0
3 years ago
The ratio of incomes of two persons is 9:7. The difference in their weekly income is $200. What are their weekly incomes?
irakobra [83]
Let the income of first person be 9x
let the income of the second person be 7x
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=2x=200
x=100
therefore income of first person is 9x=9×100=RS 900
therefore income of second person is 7x=7×100=RS 700
8 0
3 years ago
Read 2 more answers
How do you find the answer to 3×3
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Use a calculator because it will tell you the answer
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