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3 years ago

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What are the coordinates of the point on the directed line segment from (−8,−6) to (-1, 8) that partitions the segment into a ra

tio of 5 to 2?

1 answer:

aivan3 [116]3 years ago

3 0

Answer:

(-3, 4)

Step-by-step explanation:

let the point P(x, y)

x = (5/7 × (-1+8)) + (-8)

= (5/7 × 7) -8 = 5-8 = -3

y = (5/7 × (8+6)) + (-6)

= (5/7 × 14) -6 = 10-6 = 4

so, P => (-3 , 4)

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6th grade math help me please ! :))

polet [3.4K]

Cost of 32 ounces yoghurt = $1.62

Cost of 1 ounce = $1.62/32 = $0.05 (approx)

3 0

3 years ago

Can not be bothered to write the question so ima just attach it

stellarik [79]

Use desmos graphing calculator, for visuals. It's easy to use as well.

A is 0 (zero)

(1x1 + 2x1 - 3)

B) D ( lies on 1 on our x-axis)

C) This tells you to draw a line at zero on the y-axis, a horizontal line BTW & read off the x values, where the line touches the pink graph/diagram.

y=x^2+2x-3 is the similar to x^2+2x-3=0 because the letter y now represents zero. So, that's why we draw the line y=0 (a horizontal line at zero). Then, use it to find the x values.

Thus, x = - 3 & x = 1

Hope this helps!

6 0

2 years ago

The length of a rectangle is 6 more than twice the width. if the area is 40 cm^2, find the length and breadth of the rectangle

ra1l [238]

Answer: 3.217 & 12.434

Step-by-step explanation:

If we use <em>w</em> to represent the width, the length will be 6 more than 2 times w.

Hence, the length is $2w+6$ .

The area of a rectangle would be its length times its width, so let's make an equation to represent it's area.

$A=w(2w+6)$

We can also substitute 40 in for A as it's given in the question.

$40 = w(2w+6)$

Distributing <em>w</em> by multiplying it by both terms in the parentheses, we get

$40 = 2w^2+6w$

We can make the equation simpler by dividing both sides by 2.

$20 = w^2+3w$

Subtracting both sides by 20 will make the left-hand side 0.

$0=w^2+3w-20$

Now that we have put this <em>quadratic equation</em> into standard form (ax²+bx+c), we can find its solutions using the quadratic formula.

For reference, the quadratic formula is

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a is 1, b is 3, and c is -20.

Substituting, we get

$w=\frac{-3\pm\sqrt{3^2-4(1)(-20)}}{2(1)}$

$w= \frac{-3\pm\sqrt{9+80}}{2}$

$w=\frac{-3+\sqrt{89}}{2}\hspace{0.1cm}or\hspace{0.1cm}\frac{-3-\sqrt{89}}{2}$

Since the second solution results in a negative number, it cannot be the length of w.

$w=\frac{-3+\sqrt{89}}{2}\approx3.217$

The width/breadth of the rectangle is 3.217 cm.

To calculate the length, let's substitute the width into the expression for the length:

$l=2(3.217)+6$

$l=12.434$

The length of this rectangle is 12.434 cm.

6 0

2 years ago

Can you please answer both and show work

Effectus [21]

90*.1=9

90-9=81

81

190*.200=38

190-38=152

152

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3 years ago

Read 2 more answers

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xeze [42]

Answer:

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Step-by-step explanation:

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3 years ago