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skelet666 [1.2K]
3 years ago
8

Choose information given that will form a unique triangle a 11, 45, 35 b 10, 55, 85

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
4 0

Answer:

The answer is A

Step-by-step explanation:

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A bridge is sketched in the coordinate plane as a parabola represented by the equation h=40-0.01x2, where h refers to the height
ElenaW [278]

Answer:

The length of the bridge is 126.492 feet.

Step-by-step explanation:

Let h(x) = 40-0.01\cdot x^{2}, where x is the position from the middle of the bridge, measured in feet, and h(x) is the height of the bridge at a location of x feet, measured in feet. In this case, the length of the bridge is represented by the distance between the x-intercepts of the parabola, which we now find by factorization:

40-0.01\cdot x^{2} = 0 (Eq. 1)

x^{2} = \frac{40}{0.01}

x =\pm \sqrt{\frac{40}{0.01} }

x = \pm 63.246\,ft

Given that the parabola is symmetrical with respect to y-axis, then the length is two times the magnitude of the value found above, that is:

l = 2\cdot (63.246\,ft)

l = 126.492\,ft

The length of the bridge is 126.492 feet.

3 0
3 years ago
Help pls l need some help​
blagie [28]
The correct answer is C, 6/7
7 0
3 years ago
On a piece of paper , graph f(x)=2^x then determine which answer choice matches the graph you drew.
amid [387]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=2^x

This is a exponential function of the form

y=a(b^x)

where

a is the initial value or the y-intercept

b is the base of the exponential function

If b>1 then is a exponential growth function

If b<1 then is a exponential decay function

In this problem

The y-intercept is equal to

For x=0

f(x)=2^0=1

The y-intercept is the point (0,1)

so

a=1

b=2

The value of b is greater than 1

so

Is a growth function

To plot the graph create a table with different values of x and y

For x=-1

f(x)=2^-1=0.5

point (-1,0.5)

For x=1

f(x)=2^1=2

point (1,2)

For x=2

f(x)=2^2=4

point (2,4)

For x=3

f(x)=2^3=8

point (3,8)

For x=4

f(x)=2^4=16

point (4,16)

Plot the y-intercept and the other points and connect them to graph the exponential function

Note that as x increases the value of y increases (exponential growth function)

The graph in the attached figure

4 0
3 years ago
Read 2 more answers
What is y + 10 = -3(x + 10) in slope-intercept form?
Inga [223]

Answer:

y= -3x-40

Step-by-step explanation:

first distribute

y+10= -3x-30

than subtract 10

y= -3x-40

4 0
3 years ago
X2-7x-18÷x2+8x+12 what is it in lowest terms
Eddi Din [679]

\dfrac{x^2-7x-18}{x^2+8x+12}=\dfrac{x^2+2x-9x-18}{x^2+6x+2x+12}=\dfrac{x(x+2)-9(x+2)}{x(x+6)+2(x+6)}\\\\=\dfrac{(x+2)(x-9)}{(x+6)(x+2)}=\dfrac{x-9}{x+6}

5 0
3 years ago
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