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2 years ago

What is the equation of a line with slope 12 / 2 and a y-intercept of -4 ?

Mathematics

1 answer:

ValentinkaMS [17]2 years ago

6 0

Answer: y= 6x-4

Step-by-step explanation:

I wrote it in y=mx+b format. m is the slope and b is the y-intercept.

The slope is 6 because 12/2=6

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In the last two weeks of a sale, prices are reduced first by 30% and then by a further 40% of the new price . What is the final

Mandarinka [93]

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3 years ago

What is the factorization of 121b^4-49

Nezavi [6.7K]

121^4-49

(11^2+7)(11^2-7) 1. 121. 49

11. × 11. 7 × 7

4 0

3 years ago

Find the next three numbers in the pattern.<br> 5, 10, 20, 40,<br> Would I add or multiply?

gavmur [86]

Answer:

firstly you know the term of multiplication

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and last three numbers are 80, 160,320

4 0

2 years ago

Read 2 more answers

4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

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

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0

2 years ago

Please help answer and explanation its my final

Nookie1986 [14]

Answer:

0/6 because the arrow start from zero and end at six, remember that the arrow is starting from the vertical axis.....

3 0

3 years ago