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3 years ago

Please help! Greatly appreciated

Mathematics

2 answers:

Bas_tet [7]3 years ago

7 0

Answer:

(6, 6)

Step-by-step explanation:

Point P is located at (6, -4). Point S is located 10 units above point P. This means we are going up on the y-axis. Going up 10 units from -4 puts point S at 6. Therefore, point S is located at (6, 6).

Pie3 years ago

5 0

Answer
(6,6)

Hope this helps!!

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Write the equation of the parabola that has the vertex at point (− 1/2 ,2.3) and passes through the point (5,2 3/4 ).

Alex73 [517]

Answer:

The equation of parabola in vertex form is $y=0.015(x+0.5)^2+2.3$

Step-by-step explanation:

Given coordinate of vertex is $(-\frac{1}{2},2.3)$ and the parabola passes through the point $(5,2\frac{3}{4})$

So, the equation of parabola in vertex form is

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

Where $(h,k)$ is the coordinate of the vertex.

$(h,k)=(-\frac{1}{2},2.3)=(-0.5,2.3).\\\\So,\ h=-0.5\ and\ k=2.3$

Plugging these value in equation we get,

$y=a(x-(-0.5))^2+2.3\\\\y=a(x+0.5)^2+2.3$

Now, we will find the value of $a$

Plug the coordinate $(5,2\frac{3}{4})$

$(x,y)= (5,2\frac{3}{4})\\\\(x,y)=(5,\frac{11}{4})\\\\(x,y)=(5,2.75)$

$2.75=a(5-(-0.5))^2+2.3\\\\2.75=a(5+(0.5))^2+2.3\\\\2.75=a(5.5)^2+2.3\\\\2.75=a\times30.25+2.3\\\\2.75-2.3=a\times30.25\\\\0.45=a\times30.25\\\\\frac{0.45}{30.25}=a\\ \\a=0.0149$

Plug the value of $a$ in the equation $y=a(x+0.5)^2+2.3$

So, the equation of parabola with vertex $(-\frac{1}{2},2.3)$ and passes through the point $(5,2\frac{3}{4})$ is

$y=0.0149(x+0.5)^2+2.3$ ≅ $y=0.015(x+0.5)^2+2.3$

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3 years ago

What number divided by -3 gives 12 as the result? A)-36 B)-4 C)4 D)36

storchak [24]

Answer:

-36

Step-by-step explanation:

We don't need one, do we? It's just simple math.

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3 years ago

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A toxic radioactive substance with a density of 2 milligrams per square centimeter is detected in the ventilating ducts of a nuc

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Answer:

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4 years ago

Find the slope-intercept form from the two points (0,8) and (1, 10).

ratelena [41]

Answer:

y = 2x + 8

Step-by-step explanation:

We want an equation of the form y = mx + b (slope-intercept).

Look what happens to x as we go from (0, 8) to (1, 10): x increases by 1. This is the 'run' as we calculate the slope.

At the same time, y increases by 2 from 8 to 10.

The slope is defined as m = rise / run, and here is m = 2/1, or m = 2.

Write out y = mx + b and substitute 2 for m: y = 2x + b.

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3 years ago

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xenn [34]

Answer: 142°15'

Explanation:

Supplementary angles are angles that add up to make a straight angle ( $180^{\circ}$ ).

Therefore, we must find the angle ∠B such that

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We know that ∠A = 37°45', so we can re-arrange equation (1) to find the magnitude of ∠B:

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So, the correct answer is

142°15'

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