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Natasha_Volkova [10]
4 years ago
5

Pls help. This is the photo from my last question

Mathematics
1 answer:
snow_tiger [21]4 years ago
8 0

Answer:

E 10 sqrt(2)

Step-by-step explanation:

If this is an isosceles triangle than AB = BC  and AB = 10  so BC = 10

We want to us the Pythagorean theorem since it is a right triangle

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

10^2 + 10^2 = AC^2

100 + 100 = AC^2

200 = AC ^2

Take the square root of each side

sqrt(200) = sqrt( AC^2)

sqrt(100*2) = AC

We know sqrt(ab) = sqrt(a) sqrt(b)

sqrt(100) sqrt(2) = AC

10 sqrt(2) = AC

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A biologist has been observing a tree's height. This type of tree typically grows by 0.22 feet each month. Fifteen months into t
Lyrx [107]

Data:

x: number of months

y: tree's height

Tipical grow: 0.22

Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)

In this case the slope (m) or rate of change is the tipical grow.

m=0.22

To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):

\begin{gathered} y=mx+b \\ 20.5=0.22(15)+b \\ 20.5=3.3+b \\ 20.5-3.3=b \\ 17.2=b \end{gathered}

Use the slope(m) and y-intercept (b) to write the equation:

\begin{gathered} y=mx+b \\  \\ y=0.22x+17.2 \end{gathered}A) This line's slope-intercept equation is: y=0.22x+17.2

B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:

\begin{gathered} y=0.22(29)+17.2 \\ y=6.38+17.2 \\  \\ y=23.58 \end{gathered}Then, after 29 months the tree would be 23.58 feet in height

C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:

\begin{gathered} 29.96=0.22x+17.2 \\ 29.96-17.2=0.22x \\ 12.76=0.22x \\ \frac{12.76}{0.22}=x \\  \\ 58=x \end{gathered}Then, after 58 months the tree would be 29.96feet tall
3 0
1 year ago
How can I become smarter in math
Afina-wow [57]
Hey, you could study or have a friend help you. Hope this helps you
4 0
4 years ago
Read 2 more answers
Check ALL That Apply ..It’s More Than One Answer
siniylev [52]
C, as they are on the same plane, (it is uncommon to find non co-planar lines)
D, as that symbol means parallel

A is untrue as they are on the same plane
B is untrue as that symbol means perpendicular
E is untrue as perpendicular means the two lines intersect and form 90 degree angles
F is untrue as parallel lines never intersect
7 0
3 years ago
The table contains some points on the graph of an exponential function.
baherus [9]

Answer:

B.   y = 10(2)^x

Step-by-step explanation:

y = ab^x

to find "b" divide the function at x = 3 by the function at x = 2

80 = ab^3

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40 = ab^2

This results in

2 = b

to find "a" plug pickany value of x

using x = 2

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40 = a(4)

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With a = 10 and b = 2 the exponential function y = ab^x is

y = 10(2)^x

5 0
3 years ago
Which is a list of all the zeros of x^5 + 7x^4 = 18x³?
Andrei [34K]

Answer:

B

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