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4 years ago

Find the distance between the points (3, -5) and (-6, -5).

Mathematics

1 answer:

Sophie [7]4 years ago

8 0

ANSWER

EXPLANATION

We want to find the distance between the points (3, -5) and (-6, -5).

The given points have the same y-coordinates .

This means it is a horizontal line.

We use the absolute value method to find the distance between the two points.

We find the absolute value of the distance between the x-values.

The distance between the two points is

|3--6|=|3+6|=|9|=9

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What is the y-intercept of the equation of the line that is perpendicular to the line y = 3/5 x + 10 and passes through the poin

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Answer:

$\large\boxed{y-intercept=20}$

Step-by-step explanation:

$\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=\dfrac{3}{5}x+10\to m_1=\dfrac{3}{5}.\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{3}{5}}=-\dfrac{5}{3}.\\\\\text{The equation of the searched line:}\ y=-\dfrac{5}{3}x+b.\\\\\text{The line passes through }(15,\ -5).$

$\text{Put thecoordinates of the point to the equation.}\ x=15,\ y=-5:\\\\-5=-\dfrac{5}{3}(15)+b\\\\-5=(-5)(5)+b\\\\-5=-25+b\qquad\text{add 25 to both sides}\\\\b=20\\\\\boxed{y=-\dfrac{5}{3}x+20}$

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4 years ago

4. Luke is also making pizzas. He started with 4 cups of pepperoni. He has used 2/3 of his pepperoni. How many cups of pepperoni

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2.66666667

Step-by-step explanation:

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3 years ago

Point A is inside triangle E D F. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to th

Crazy boy [7]

Answer:

Option B. 3 is the answer.

Step-by-step explanation:

To draw a circumcenter of a triangle we draw the perpendicular bisectors of the the sides of the triangle first.

Intersection point of these perpendiculars drawn is the circumcenter of the circle.

Distances of the circumcenter to the vertices are same, that means distance of circumcenter from the vertex is the radius of the circle.

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3 years ago

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3 years ago

At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least

Lapatulllka [165]

Answer:

4 is the maximum number of ride tickets she can buy

Step-by-step explanation:

Here, r represents the number of ride tickets and f represents number of food tickets.

The system of inequalities is given as:

r+f\geq 16 ....[1]

4r+2f\leq 40 .....[2]

To solve Mathematically:

Multiply equation [1] by -2 we have;

-2r-2f \leq -32 .....[3]

Add equation [2] and [3] we have;

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Since r must be less than or equal to 4.

You can also see the graph of the given system of inequalities as shown below.

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