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aivan3 [116]
3 years ago
15

The image of a parabolic lens is traced onto a graph. The function f(x) = (x + 8)(x – 4) represents the image. At which points d

oes the image cross the x-axis?
Mathematics
1 answer:
alexandr402 [8]3 years ago
7 0

Answer:

x = -8 and x = 4

Step-by-step explanation:

given

f(x) = (x+8) (x - 4)

recall that at any point on the x-axis, y = 0 [i.e f(x) = 0]

hence to find where the graph crosses the x-axis, we simply substitue f(x) = 0 into the equation and solve for x

f(x) = (x+8) (x - 4)

0 = (x+8) (x - 4)

Hence

either,

(x+8) = 0 ----> x = -8  (first crossing point)

or

(x-4) = 0 ------> x = 4 (second crossing point)

Hence the graph crosses the x-axis at x = -8 and x = 4

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Are the equations m + 3 = -5 and m = -2 equivalent? Explain why or why not?
patriot [66]

Answer:

Step-by-step explanation:

When m+3=-5, collection of like terms says; -5-3

Now,-5+-3 = -8 and -2≠-8 hence,they aren't equivalent

7 0
3 years ago
Given the diagram below with line DE║ line AC. Find BC.
Karolina [17]

Answer:

13.5

Step-by-step explanation:

In triangle ABC, DE || AC

Therefore by basic proportionality theorem:

\frac{BD}{DA} = \frac {BE}{EC} \\\\\therefore  \frac{4}{8} = \frac {BE}{9} \\\\\therefore  \frac{1}{2} = \frac {BE}{9} \\\\\therefore  BE = \frac{9}{2} \\\\\therefore BE = 4.5\\\because BC = BE + EC \\\therefore BC = 4.5 + 9\\\huge \red {\boxed {\therefore BC = 13.5}} \\

8 0
3 years ago
E=I(R+r) solve for R
svetlana [45]
Divide I from both sides then subtract r from both sides, too so in the end:

R= (E-r)/I
8 0
3 years ago
Read 2 more answers
Qu. In a triangle ABC, side AB has length 10cm, side AC has length 5cm, and angle BAC = θ
Vinil7 [7]

Answer:

To find cosθ, use the formula for the area of a triangle i.e. AREA=1/2 x a x b x sinC.=> For this case: 15= 1/2 x 10 x 5 x sinC to find sinC.=> SinC = 3/5 thus, Arcsin(3/5)=+- 4/5 or +-0.8

To find the exact length of BC, use the cosine rule.=> c(sq)=a(sq)+b(sq)-2abCosC=> c(sq)=10(sq)+5(sq)-2(10)(5)(+-4/5)=> c(sq)= Square root of 205

6 0
3 years ago
what dose a point represents: a) line segment b) a location c) intersection of a plane d) none of the above
meriva

Answer:

(B) A location

Step-by-step explanation:

If you have a point on a graph or number line, it always represents a certain location on the graph.

For instance, if we have a point on the x=3 line and the y=4 line, the point would represent the location (3,4).

Hope this helped!

6 0
3 years ago
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