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nydimaria [60]
3 years ago
13

Select the two statements that are true about the equation −10=60(−40). A. The line has a slope of 10. B. The line has a slope o

f 60. C. One point of the line is (40, 10) D. One point of the line is (10, 60)
Mathematics
1 answer:
Damm [24]3 years ago
3 0

Complete question :

Select the two statements that are true about the equation y−10=60(x−40)

Answer:

m = 60

One point on the line is (40, 10)

Step-by-step explanation:

Given the equation :

y−10=60(x−40)

Comparing the equation with the point slope equation formula :

y - y1 = m(x - x1)

Where, x1 and y1 are points on the line

m = Slope

From here, we can deduce that:

y1 = 10 ; x1 = 40 and m = 60

(x1, y1) = (40, 10)

m = slope = 40

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Answer:

Part 1) "a" value is 2

Part 2) The vertex is the point (1,8)

Part 3) The equation of the axis of symmetry is x=1

Part 4) The vertex is a minimum

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Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

if a > 0 then the parabola open upward (vertex is a minimum)

if a < 0 then the parabola open downward (vertex is a maximum)

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

so

x=h

In this problem we have

y=2(x-1)^{2}+8 -----> this is the equation in vertex form of a vertical parabola

The value of a=2

so

a>0 then the parabola open upward (vertex is a minimum)

The vertex is the point (1,8)

so

(h,k)=(1,8)

The equation of the axis of symmetry is x=1

The equation of a vertical parabola in standard form is equal to

y=ax^{2}+bx+c

Convert vertex form in standard form

y=2(x-1)^{2}+8

y=2(x^{2}-2x+1)+8

y=2x^{2}-4x+2+8

y=2x^{2}-4x+10

see the attached figure to better understand the problem

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3 years ago
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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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