Answer:
Equation of the straight line in point-slope form
y -(-7) =
(x-8)
Equation of the straight line
3x +4y +4=0
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the point ( 8,-7) and 
Equation of the straight line passing through the point (x₁, y₁) and having slope 'm'
y - y₁ = m (x-x₁)
y -(-7) =
(x-8)
4( y+7) = -3(x-8)
4y +28 = -3x +24
3x +4y +28 -24 =0
3x +4y +4=0
Answer:
for first blank its 1/3 and second blank is 5
Step-by-step explanation:
A=pi r^2
then use your rate of $4.60/m^2 and multiply that by your area.
A = 3.14 (.8^2)
Cost = 2.01 m^2 $4.60/m^2 = $9.24
So your answer would be B
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Answer:
The quantity of first nut = x = 2.4 lb
The quantity of second nut = 12.9 - x = 12.9 - 2.4 = 10.5 lb
Step-by-step explanation:
Let amount of first type of nut = x
Amount of second type of nut = 12.9 - x
Total Cost of first type of nut = 4.5 x
Total Cost of second type of nut = 8.8 × (12.9 - x)
Total cost of both type of nut = 8 × 12.9
Total cost = Cost of first type of nut + Cost of second type of nut
8 × 12.9 = 4.5 x + 8.8 × (12.9 - x)
103.2 = 4.5 x + 113.52 - 8.8 x
8.8 x - 4.5 x = 10.32
4.3 x = 10.32
x = 2.4
Therefore the quantity of first nut = x = 2.4 lb
The quantity of second nut = 12.9 - x = 12.9 - 2.4 = 10.5 lb
Answer:
For Lin's answer
Step-by-step explanation:
When you have a triangle, you can flip it along a side and join that side with the original triangle, so in this case the triangle has been flipped along the longest side and that longest side is now common in both triangles. Now since these are the same triangle the area remains the same.
Now the two triangles form a quadrilateral, which we can prove is a parallelogram by finding out that the opposite sides of the parallelogram are equal since the two triangles are the same(congruent), and they are also parallel as the alternate interior angles of quadrilateral are the same. So the quadrilaral is a paralllelogram, therefore the area of a parallelogram is bh which id 7 * 4 = 7*2=28 sq units.
Since we already established that the triangles in the parallelogram are the same, therefore their areas are also the same, and that the area of the parallelogram is 28 sq units, we can say that A(Q)+A(Q)=28 sq units, therefore 2A(Q)=28 sq units, therefore A(Q)=14 sq units, where A(Q), is the area of triangle Q.