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LuckyWell [14K]
3 years ago
7

Point R is located at  (3,2) and point S is located at (8,15) . What are the coordinates of the point that partitions the direct

ed line segment RS in a 1:3 ratio
Mathematics
1 answer:
faltersainse [42]3 years ago
8 0
The coordinates of the point can be solve using the fomula:

x = x1 + r( x2 - x1 )
y = y1 + r( y2 - x1)
where r is the ratio that partitions the segment
x = x1 + r( x2 - x1 )
x = 3 + 1/3( 8 - 3 )
x = 3 + 1/3( 5 )
x = 14/3
y = y1 + r( y2 - x1)
y = 2 + 1/3( 15 - 2)
y = 2 + 1/3( 13 )
y = 19/3
so the coordinate is ( 14/3 , 19/3 )
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Plz help, I don't need the show all work.
topjm [15]

Answer:

The answer is 108 cm²

Step-by-step explanation:

First, you have to find the height of the parallrelogram using trogonometric formula, sinθ = oppo./hypo. :

oppo. = height

hypo. = 9 cm

θ = 59°

sin 59° = height/9

height = 9 sin 59°

= 7.715 cm (4s.f)

Given that the formula of area of parallelogram is, A = base×height. Then, you can substitute the value into the formula :

base = 14 cm

height = 7.715 cm

A = 14 × 7.715

= 108 cm² (3s.f)

8 0
3 years ago
Read 2 more answers
I just need help explaining it. solve the system of equation
Maksim231197 [3]

SOLUTION

Write out the equation

\begin{gathered} y=\frac{1}{3}x-3 \\ 5x-3y=-3 \end{gathered}

To solve this system of equation, the aprropriate method will be substitution

Substitute the expression for y into the second equation for y, we have

5x-3(\frac{1}{3}x-3)=-3

Expand the paranthesis we have

\begin{gathered} 5x-x+9=-3 \\ \text{Simplify},\text{ by subtracting 9 from both sides } \\ 4x+9-9=-3-9 \\ 4x=-12 \end{gathered}

Divide both sides by 4, we have

\begin{gathered} \frac{4x}{4}=-\frac{12}{4} \\ \text{Then} \\ x=-3 \end{gathered}

Since the value of x has been obtained, we substitute into the first equation

\begin{gathered} y=\frac{1}{3}x-3 \\ \text{ recall x=}-3 \\ y=\frac{1}{3}(-3)-3 \\ y=-1-4 \\ \text{Hence } \\ y=-4 \end{gathered}

Therefore

x = -3, y= -4

6 0
1 year ago
What is the solution to the system of equations? please explain I really need help
alukav5142 [94]

Answer:

The solution is the point where the lines intersect.

The answer is (-3 , -8)

4 0
3 years ago
The perimeter of a rectangle is 90 inches. The width of the rectangle is 9 inches less than the length of the rectangle find the
Sphinxa [80]

Answer:

810

Step-by-step explanation:just

just multiply both numbers

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3 years ago
Determine whether each table represents a linear or nonlinear
Nesterboy [21]

Answer: Yes, No

Step-by-step explanation:

1st table is linear because the slope is always constant.

Second is not linear, but rather exponential.

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2 years ago
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