The point through which the same line is passing will be (9,13) so option (C) will be correct.
<h3>What is a line segment?</h3>
A line section that can connect two places is referred to as a segment.
A line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
The equation of any line with slope m can be given as
y = mx + c
Given,
slope m = 1/2
Point of passing (-7, 5)
So,
5 = -7/2 + c ⇒ c = 17/2
So the equation will be,
y = x/2 + 17/2
2y = x + 17
Now checking all points (9,13) is satisfying.
2(13) = 9 + 17
26 = 26
Hence point (9,13) is passing through the line.
For more about line segment
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Since in the above case, the beaker has two sections each with different radius and height, we will divide this problem into two parts.
We will calculate the volume of both the beakers separately and then add them up together to get the volume of the beaker.
Given, π = 3.14
Beaker 1:
Radius (r₁) = 2 cm
Height (h₁) = 3 cm
Volume (V₁) = π r₁² h₁ = 3.14 x 2² x 3 = 37.68 cm³
Beaker 2:
Radius (r₂) = 6 cm
Height (h₂) = 4 cm
Volume (V₂) = π r₂² h₂ = 3.14 x 6² x 4 = 452.16 cm³
Volume of beaker = V₁ + V₂ = 37.68 + 452.16 = 489.84 cm³
<h3>
Answer: y^4 - 2y^3 + 7y^2 + y - 5</h3>
Work Shown:
h(y) = f(y) + g(y)
h(y) = (y^4 - 3y^3 + y - 3) + (y^3 + 7y^2 - 2)
h(y) = y^4 - 3y^3 + y - 3 + y^3 + 7y^2 - 2
h(y) = y^4 + (-3y^3+y^3) + 7y^2 + y + (-3 - 2)
h(y) = y^4 - 2y^3 + 7y^2 + y - 5
This is a fourth degree polynomial (aka quartic).
Answer for no.9:
144.5cm^2
Step-by-step explanation:
base of triangle = 34cm-17cm
=17cm
Area =bh/2
=17cm×17cm/2
=289cm^2/2
=144.5cm^2
Answer:
D
Step-by-step explanation:
Range is the least number (50) subtracted from the greatest number (90)
90-50 = 40 (range)
The most dots is at 70 and the chart is symmetrical.