Parent function: f(x)=x

Mathematics

1 answer:

vaieri [72.5K]3 years ago

7 0

Answer:

a) y = x+1

b) The transformation shifts the graph 1 unit to the left

Step-by-step explanation:

a) Put (x+1) where (x) is in the function definition:

y = f(x+1)

y = x+1

b) This transformation has the effect of shifting the graph one unit to the left. Any point (x, f(x)) on the original curve, will now be (x-1, f(x)), shifted one unit to the left.

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M<p= 21x+25 and m <n= 675x-27/3

VladimirAG [237]

∠n and ∠p are supllementary angles, therefore m∠n + m∠p = 180°.

$m\angle p=21x+25\\\\m\angle n=\dfrac{675x-27}{3}=\dfrac{675x}{3}-\dfrac{27}{3}=225x-9$

therefore

$(21x+25)+(225x-9)=180\\\\(21x+225x)+(25-9)=180\\\\246x+16=180\qquad|-16\\\\246x=164\qquad|:246\\\\x=\dfrac{164}{246}\\\\x=\dfrac{2}{3}$

$m\angle p=21x+25$

substitute

$m\angle p=21\cdot\dfrac{2}{3}+25=7\cdot2+25=14+25=39^o$

$m\angle n=225x-9$

substitute

$m\angle n=225\cdot\dfrac{2}{3}-9=75\cdot2-9=150-9=141^o$

7 0

4 years ago

Malia is placing a barrier around the edge of a circular path with a diameter of 13 meters. The barriers are in lengths of 2.5 m

Bezzdna [24]

Answer:

B. 17

Step-by-step explanation:

We have been given that Maria is placing a barrier around the edge of a circular path with a diameter of 13 meters.

Since we know that circumference of a circle equals $2\pi r$ , where,

r= Radius of the circle.

Since we have been given the diameter of the circular path, so let us divide our given diameter by 2 to find radius of our circular path.

$\text{Radius of circular path}=\frac{13}{2}=6.5$

Let us find the circumference of our circular path.

$\text{Circumference of circular path}=2*3.14*6.5$

$\text{Circumference of circular path}=40.82$

Since circumference of circular path is 40.82 meters, so to find the number of pieces of barrier we will divide circumference of circular path by length of each barrier.

$\text{Number of barriers used}=\frac{40.82}{2.5}$