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Veronika [31]
3 years ago
13

Find the coordinated if point G that lies along the directed line segment from F(-1,-1) to H(-8,20) and partitions the segment i

n the ratio of 5:2

Mathematics
1 answer:
8_murik_8 [283]3 years ago
7 0

The parametric segment between F and H is

P(t) = (1-t)F + tH

P(0)=F, P(1)=H.

We want P such that FP:PH=5:2

That corresponds to t = \dfrac{5}{5+2} = \dfrac 5 7

P(\frac 5 7) = \frac 2 7 F + \frac 5 7 H = \left( \dfrac{ 2(-1)+5(-8)}{7},  \dfrac{ 2(-1)+5(20)}{7} \right) = (-42/7, 98/7) = (-6, 14)

Answer: (-6, 14)

Plot (-1,-1), (-6,14), (-8,20)

Check out the edge lengths

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The rectangle below has an area of 1 8 x 3 18x 3 square meters and a length of 2 x 2 2x 2 meters.
motikmotik

Answer:

\text{The width of rectangle}=9x\text{ meters}

Step-by-step explanation:

We have been given that the rectangle has an area of 18x^3 square meters and a length of 2x^{2}. We are asked to find the width of rectangle.

Since we know that area of a rectangle is width times length of the rectangle, so we can find width of our given rectangle by dividing given area by length of rectangle.

\text{Area of rectangle}=\text{Width of rectangle *Length of the rectangle}

\frac{\text{Area of rectangle}}{\text{Length of rectangle}}=\frac{\text{Width of rectangle *Length of the rectangle}}{\text{Legth of rectangle}}

\text{The width of rectangle}=\frac{\text{Area of rectangle}}{\text{Length of rectangle}}

Upon substituting our given values in above formula we will get,

\text{The width of rectangle}=\frac{18x^3\text{ meter}^2}{2x^2\text{ meters}}

\text{The width of rectangle}=\frac{9x^3\text{ meters}}{x^2}

Using exponent rule for quotient \frac{a^m}{a^n}=a^{m-n} we will get,

\text{The width of rectangle}=9x^{3-2}\text{ meters}

\text{The width of rectangle}=9x^{1}\text{ meters}=9x\text{ meters}

Therefore, width of our given rectangle will be 9x meters.

3 0
3 years ago
In a multiple regression analysis what would likely be the culprit of a dramatic increase in the P-value of one of the variables
makvit [3.9K]
This can happen if you add another independent variable to your regression model that is strongly correlated to some other variable already in the model.
This is called multicollinearity. 
If there is a high correlation between your independent variables can lead to problems.
<span>It can lead to increased variance of the coefficient estimates and make the estimates very sensitive to minor changes in the model.</span>
6 0
4 years ago
What is The 2+21+221:22​
Oksanka [162]

Answer:

33.0454545455

Step:

2+21+221:21

23+(221:22)=

23+10.045454545=

33.0454545455

8 0
4 years ago
Can someone help with these two questions on percentage please, I’m giving out brain list tyyy❤️.
mario62 [17]

Answer:

Step-by-step explanation:

First one is 16.7%

Second one they washed 75% more cars that weekend,

5 0
3 years ago
Good morning/Evening, i hope ur having a great day can you please solve this by today?
sammy [17]

Answer:

B. 9

Step-by-step explanation:

m∠U = 2x°

m∠V = 4m∠U

        = 4(2x°)

        = 8x°

Complementary angles add up to 90°.

∠U + ∠V = 90°

2x° + 8x° = 90°

10x° = 90°

x = 90° ÷ 10°

  = 9

3 0
3 years ago
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