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3 years ago

A+B=10,A+C=11,B+D=4,C-D=13

Mathematics

1 answer:

tatuchka [14]3 years ago

3 0

Answer:

A = 2

B = 8

C = 9

D = -4

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What are the coordinates of the point LaTeX: \frac{3}{4}\:3 4of the way from A to B? coordinate plane with line segment AB. Poin

egoroff_w [7]

Answer: $\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$ .

Step-by-step explanation:

It is given that Point A is at (-5, -4) and point B at (-3, 3).

We need to find the coordinates of the point which is 3/4 of the way from A to B.

Let the required point be P.

$AP:AB=3:4$

$AP:PB=AP:(AB-AP)=3:(4-1)=3:1$

It means, point P divides segment AB in 3:1.

Section formula: If a point divides a line segment in m:n, then

$\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Using section formula, we get

$P=\left(\dfrac{3(-3)+1(-5)}{3+1},\dfrac{3(3)+1(-4)}{3+1}\right)$

$P=\left(\dfrac{-9-5}{4},\dfrac{9-4}{4}\right)$

$P=\left(\dfrac{-14}{4},\dfrac{5}{4}\right)$

$P=\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$

Therefore, the required point is $\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$ .

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3 years ago

find the number of running and passing plays using substitution method 110 plays 3 yards per run 7 yards per pass total yards 37

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Let x be the number of running plays

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And solve for y

Y = 12

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Step-by-step explanation:

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I think that is the correct answer sorry I didn't answer before didn't see the problem.

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2 years ago

A+B=10,A+C=11,B+D=4,C-D=13​

A+B=10,A+C=11,B+D=4,C-D=13