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il63 [147K]
3 years ago
15

Find the x-intercepts of the parabola with vertex (-5,80) and y-intercept (0,-45). Write your answer in this form (x of 1 , y of

1), (x of 2, y of 2). If necessary round to the nearest hundereth
Mathematics
1 answer:
Ivan3 years ago
7 0
A parabola is a quadratic function, and a quadratic can be expressed in vertex form, which is:

y=a(x-h)^2+k, where (h,k) is the vertex (absolute maximum or minimum point of the quadratic)

In this case we are given that (h,k) is (-5,80) so we have so far:

y=a(x--5)^2+80

y=a(x+5)^2+80, we are also told that it passes through the point (0,-45) so:

-45=a(0+5)^2+80

-45=25a+80  subtract 80 from both sides

-125=25a  divide both sides by 25

-5=a, so now we know the complete vertex form is:

y=-5(x+5)^2+80

The x-intercepts occur when y=0 so:

0=-5(x+5)^2+80  add 5(x+5)^2 to both sides

5(x+5)^2=80  divide both sides by 5

(x+5)^2=16  take the square root of both sides

x+5=±√16  which is

x+5=±4  subtract 5 from both sides

x=-5±4 so the x-intercepts are:

x=-1 and -9


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8 workers complete the construction of wall 6 days. How many workers are needed to complete the construction in 4 days?
ElenaW [278]

Answer:

I came up with -12

Step-by-step explanation:

8 workers = 6 days to complete

x workers = 4 days faster to complete

6/4=1.5 days faster

1.5 x 8 = 12 workers needed to complete the wall in fours days

8 0
2 years ago
The right triangle shown has angles X, Y, and Z and side lengths a, b, and
laiz [17]
So attached is a picture of the triangle you are talking about and listed under are the choices:

A.) Cos Z=b/c 
B.) Sin X=c/b 
C.) Tan X=b/a 
<span>D.) Tan Z=a/b
</span>
The answer would then be B. SinX = c/b.

Just remember SOH CAH TOA:

Sinθ=  Opposite         Cosθ =    Adjacent             Tanθ=   Opposite
         Hypotenuse                   Hypotenuse                        Adjacent

Using the triangle in the scenario, you just need to identify which side is which. 

Given m∠Z
Adjacent = b
Opposite = a
Hypotenuse = c

SinZ=  a         CosZ = b             TanZ= a 
            c                      c                        b

Given m∠X:

Adjacent = b
Opposite = a
Hypotenuse = c

SinX= <u> b </u>        CosX =<span><u> a </u></span>            TanX=<span><u> b </u></span>
            c                      c                        a

So the answer is B. 

Attached is a picture of how I assigned the sides depending on the angle used.

4 0
3 years ago
Please Help me with this:
Korolek [52]

just find the points

3 0
3 years ago
Please help me ASAP!!
vekshin1

Answer:

Step-by-step explanation:

7 0
3 years ago
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A triangle has a perimeter of 39 feet. If the three sides of the triangle are n, 4n-2, and 5n-9, what is the length of each side
lyudmila [28]

Answer:

The sides are 5,18,16

Step-by-step explanation:

To find the perimeter of a triangle, we add up all the sides

n +4n-2 + 5n-9 = 39

Combine like terms

10n -11 = 39

Add 11 to each side

10n-11+11 = 39+11

10n = 50

Divide by 10

10n/10 =50/10

n = 5

Now we need to find each side

n = 5

4n-2 = 4(5)-2 = 20-2 =18

5n-9 = 5(5) - =25-9 = 16

The sides are 5,18,16

5 0
3 years ago
Read 2 more answers
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