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Vadim26 [7]
2 years ago
8

In the diagram, points E, A, and B are collinear and the areas of square ABCD and right triangle EAD are equal. What are the coo

rdinates of A?
A. (-7.5, 3)

B. (-8, 4)

C. (-9, 6)

D. (-8.5, 5)

E. (-6, 5)

Mathematics
2 answers:
forsale [732]2 years ago
8 0

Answer:

(-8,4)

Step-by-step explanation:

Given in the picture is a right triangle and a square sharing one commonside

Area of triangle = area of square

ie 1/2 bs = s^2 (is s is one side of square)

i.e. b = 2s where b = EA

In other words A divides line EB in the ratio 2:1

Using section formula

Coordinates of A=

(\frac{2(-7)+1(-10)}{3} ,\frac{2(2)+1(-8)}{3})\\=(-8, 4)

Zielflug [23.3K]2 years ago
6 0

Answer:

(B) -8,4

Step-by-step explanation:

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Lena [83]

Let us assume that the given speed is in miles per hour.

A race car is driven by a professional driver at 99 mph.

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As 1 mile = 1.61 km

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1 km per hour = 0.0166 km per minute

So, 159.39 kmph = 159.39\times0.0166=2.6458 km per minute

Hence, The speed is equivalent to 159.39 kilometers /hour, or 2.645 kilometers/minutes .


7 0
1 year ago
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-3^(-x)-6=-3^x+10<br><br>Solve the equation below for x by graphing plz
vitfil [10]
To graph it, just graph y=-3^{-x}-6 and y=-3^x+10 and see where they intersect

I would like to solve it by using math and not graphing
if you don't want to see the math, just don't scroll down
the graphical meathod is above, first line, just read it

hmm
multiply both sides by -1
3^{-x}+6=3^x-10
multiply both sides by 3^x
3^0+6(3^x)=3^{2x}-10(3^x)
1+6(3^x)=3^{2x}-10(3^x)
minus 1 from both sides and minus 6(3^x) from both sides
0=3^{2x}-16(3^x)-1
use u subsitution
u=3^x
we can rewrite it as
0=u^2-16u-1
now factor
I mean use quadratic formula
for ax^2+bx+c=0 x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}
so for 0=u^2-16u-1, a=1, b=-16, c=-1
u=\frac{-(-16)+/-\sqrt{(-16)^2-4(1)(-1)}{2(1)}
u=8+/-\sqrt{65}
remember that u=3^x so u>0
if we have u=8+√65, it's fine, but u=8-√65 is negative and not allowed
so therfor
u=8+\sqrt{65}=3^x
8+\sqrt{65}=3^x
if you take the log base 3 of both sides you get
log_3(8+\sqrt{65})=x
if you use ln then
ln(8+\sqrt{65})=xln(3)
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\frac{ln(8+\sqrt{65})}{ln(3)}=x

8 0
2 years ago
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Is 0.15893 rational or irrational?
Ganezh [65]
It would be irrational
5 0
2 years ago
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The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the
Ulleksa [173]

Answer:

Step-by-step explanation:

The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is L = StartRoot d squared + h squared EndRoot. What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?

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4 0
1 year ago
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Suppose that 90% of all dialysis patients will survive for at least 5 years. In a simple random sample of 100 new dialysis patie
Keith_Richards [23]

Answer:

The  probability   P(\^ p  >  0.80) =  0.99957

Step-by-step explanation:

From the question we are told that

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     The sample size is  n  =  30

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Generally the standard deviation is mathematically represented as

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Generally the he probability that the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal places is mathematically represented as

       P(\^ p  >  0.80) =  P(\frac{ \^ p - p }{ \sigma }  >  \frac{0.80 - 0.90}{0.03} )

Generally \frac{\^p - p}{\sigma}  =  Z(The standardized \  value  \  of  \^  p)

So  

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From the z-table P(Z  >  -3.33 ) = 0.99957

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