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2 years ago

Find the distance between the two points in simplest radical form. (−3,6) and (−8,−6)

Mathematics

1 answer:

pashok25 [27]2 years ago

8 0

Answer: The distance between the two points is 13.

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What is the value of the expression 100 - 92 ÷ 3?

lora16 [44]

Answer:

2.67

Step-by-step explanation:

100-92=8

8÷3

$\sqrt[3]{8}$

=2.67

8 0

3 years ago

Read 2 more answers

Rose and Andrew are financing 128,000 to purchase a condominium. They obtained a 15 year fixed rate loan with a rate of 5.05%. T

anzhelika [568]

Amount Financed(P) = $ 128,000

Time = 15 year

Rate of interest= 5.05%

Amount after 15 years translates to,

${\text{Using the formula}} P(1+\frac{R}{100})^n\\\\ 128,000(1 +\frac{5.05}{100})^{15}\\\\ =128,000 \times (1.0505)^{15}\\\\=128,000 \times 2.0938\\\\=268,009.890$

Rose and Andrew has taken four points to lower their rate to 4.81% .

Amount after 15 years translates to, if rate of interest is 4.83 %

${\text{Using the formula}} P(1+\frac{R}{100})^n\\\\ 128,000(1 +\frac{4.83}{100})^{15}\\\\ =128,000 \times (1.0483)^{15}\\\\=128,000 \times 2.0290\\\\=259713.0404$

Cost of four points = 268,009.890 - 259,713.0404

= $8296.8496

3 0

3 years ago

What in slope-intercept form, can go through the line ( a, 2a) and (-5a, 6a)

Wittaler [7]

Answer:

y = -2/3x + 8/3a

Step-by-step explanation:

Given points

(a, 2a) and (-5a, 6a)

Slope-intercept form

y = mx + b

Slope of the line is

m = (6a - 2a)/( -5a - a) = 4a/(-6a) = - 2/3

The y-intercept is:

2a = -2/3*a + b
b = 2a + 2/3a
b= 8/3a

So the line is:

y = -2/3x + 8/3a

7 0

3 years ago

Read 2 more answers

(x+5)(x-3) (x-3)(x+10)

antiseptic1488 [7]

I’m learning this right now actually! The first one is...pretend the 2 is small. x2+2-15 and the second answer is x2+7-30!

8 0

3 years ago

Write an equation in point slope form for the line that passes through (-5,6) and (-3,-9).

Finger [1]

$\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{6})\qquad
(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-9})
\\\\\\
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-9-6}{-3-(-5)}\implies \cfrac{-9-6}{-3+5}\implies -\cfrac{15}{2}$

$\bf \begin{array}{|c|ll}
\cline{1-1}
\textit{point-slope form}\\
\cline{1-1}
\\
y-y_1=m(x-x_1)
\\\\
\cline{1-1}
\end{array}\implies y-6=-\cfrac{15}{2}[x-(-5)]\implies y-6=-\cfrac{15}{2}(x+5)
\\\\\\
y-6=-\cfrac{15}{2}x-\cfrac{75}{2}\implies y=-\cfrac{15}{2}x-\cfrac{75}{2}-6\implies y=-\cfrac{15}{2}x-\cfrac{87}{2}$

8 0

3 years ago