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3 years ago

What is the equation of the line with a slope of 1/2, and which passes through the point (-2, 4)?

Mathematics

1 answer:

irina1246 [14]3 years ago

7 0

Step-by-step explanation:

How I figured this out is kind of plug in play with a bit of algebra, you want to get it to y = mx + b so to do that, you first need to set up your equation like (y - y1) = m(x - x1)

Plug in what you know:

(y - 4) = 1/2(x + 2) (notice I changed the x- x1 to x + x1 because x1 in this is a negative and subtracting a negative is the same as adding)

Then figure out what you don't know:

Distribute 1/2 to x and -2

(y - 4) = 1/2x -1

add 4 on both sides to leave y by itself

Therefore your answer should be <u>y = 4.5x + 3</u>

Let me know if I got it wrong please

Hope this helps! <3

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The value of Adam's model railway is $550.

garik1379 [7]

Answer:(c)

Step-by-step explanation:

Given

The initial value of Adam's model is $A_o=\$550$

the value increases exponentially with the rate of $r\%$

Time period $t=5\ years$

Final amount $A=\$736$

Exponential growth is given by

$\Rightarrow A=A_o(1+r)^t$

Putting values

$\Rightarrow 736=550(1+r)^5\\\\\Rightarrow (1+r)^5=1.338$

$\Rightarrow 1+r=1.05999\\\Rightarrow r=0.05999\ or\ 5.99\%\approx 6\%$

Option (c) is correct

6 0

3 years ago

Find each percent of the markup. $11.5 marked up to $25. Round to the nearest percent.

soldi70 [24.7K]

Percent markup=amountmarkedup/original times 100

amountmarkedup=25-13.5.5=11.5
original=13.5

percent markup=11.5/13.5 times 100=0.85 times 100=85% markup

8 0

3 years ago

Sloane kicked a soccer ball off the ground at a speed of 36 feet per second. the height of the ball can be represented by the fu

deff fn [24]

The total time in seconds the ball will take to travel before returning the ground is 2.25 seconds.

<h3>What is factorisation?</h3>

The breaking or breakdown of an entity (such as an integer, a matrices, or a polynomials) into a products of another unit, or factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring in mathematics.

Calculation for the time;

Let 't' be the time in second the ball will travel.

Let H(t) be the total height travelled by the ball.

The equation of the height is given as

$H(t)=-16 t^{2}+36 t$