Answer:
C) (1,3) and ( 4,0)
The intersecting points of two given curves are A( 1,3) and B(4,0)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given Parabola y = x² – 6x + 8 and straight line y = -x +4
y = x² – 6x + 8 ...(i)
y = -x +4 ...(ii)
Equating (i) and (ii) equations , we get
x² – 6x + 8 = -x +4
⇒ x² – 6x + 8 +x - 4 = 0
⇒ x² – 5x + 4 = 0
⇒ x² – 4x -x + 4 = 0
⇒ x ( x-4) -1( x -4) =0
⇒ (x -1) ( x -4) =0
⇒ x =1 and x = 4
<u><em>Step(ii):-</em></u>
Put x = 1 in equation y = -x +4
y = -1 +4 = 3
The first point A( 1,3)
Put x = 4 in equation y = -x +4
y = -4+4 =0
The second point B(4,0)
<u><em>Final answer:</em></u>-
The intersecting points of two given curves are A( 1,3) and B(4,0)
There are 17 hops in a hop, a skip, and a jump.
<h3>
</h3><h3>
How to perform changes of units?</h3>
We have the relations:
- 1 skip = 4 hops.
- 1 jump = 3 skips.
How many hops are in a hop, a skip and a jump?
So we have:
1 hop + 1 skip + 1 jump.
First, using the second relation we rewrite:
1 hop + 1 skip + 3 skips = 1 hop + 4 skips.
Now, using the first relation:
1 hop + 4 skips = 1 hop + 4*(4 hops) = 1 hop + 16 hops = 17 hops.
There are 17 hops in a hop, a skip, and a jump.
If you want to learn more about changes of units:
brainly.com/question/9032119
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The easy way is to count outcomes. Of the 36 equally probable outcomes, 10 are less than or equal to 5, so the probability is 10/36 = 5/18.
9514 1404 393
Answer:
y = 8
Step-by-step explanation:
It can be useful to write down the values of corresponding parts of the figures. This can help you see the ratio between corresponding measures. Here, we're concerned with sides.
AB = ?, FE= 6
BC = 10, EC = 5 . . . . . a ratio of 2:1
CD = ?, CG = ?
DA = y, GF = 4
So, the proportionality of the sides in these similar figures means ...
y/4 = 10/5
y = 4×10/5
y = 8 . . . . multiply by 4
