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amm1812
2 years ago
8

The function f(x) = x2 is transformed to obtain the graph of the related function g(x) using a vertical stretch by a factor of 3

.
Mathematics
1 answer:
timofeeve [1]2 years ago
3 0

Answer:

y = \frac{1}{3} x^2

Step-by-step explanation:

Vertical stretch = widens graph

Factor = multiply by \frac{1}{3}

FINAL RESULT: y = \frac{1}{3} x^2

Hope this helps!

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In the diagram, R, S, and T are all points of tangency. What is the perimeter of Triangle<br> XYZ?
Molodets [167]

Answer:

54 cm

Step-by-step explanation:

Perimeter = TZ + TX + RX + RY + SY + SZ

TZ = 5 cm

TX = 13 cm

RY = 9 cm

RX = TX = 13 cm (tangents drawn from and external point)

SY = RY = 9 cm (tangents drawn from and external point)

SZ = TZ = 5 cm (tangents drawn from and external point)

Plug in the values:

Perimeter = 5 + 13 + 13 + 9 + 9 + 5 = 54 cm

7 0
2 years ago
How do I solve 10p+5=18p-6/2
mihalych1998 [28]
<span>10p+5=18p-6/2 
10p + 5 = 18p -3 
10p - 18 p = -3 -5
-8p = -8
p = -8/-8
p =1</span>
3 0
3 years ago
Solve for x: 3|x - 3| + 2 = 14
astra-53 [7]
D) is the correct one
3 0
2 years ago
Read 2 more answers
Question: The meaning of four consecutive even numbers is 15.
nasty-shy [4]
First, a bit of housekeeping:

<span>The meaning of four consecutive even numbers is 15.  Wouldn't that be "mean," not meaning?  Very different concepts!

The greatest of these numbers is _______ a^1

"a^1" means "a to the first power.  There are no powers in this problem statement.  Perhaps you meant just "a" or "a_1" or a(1).


The least of these numbers is ______a^2.
No powers in this problem statement.  Perhaps you meant a_2 or a(2)


In this problem you have four numbers.  All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).

The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers.  Here this mean is 15.  The mean is most likely positioned between b anc c.


So here's what we have:  a+b+c+d
                                         ------------- = 15
                                                 4

This is equivalent to a+b+c+d = 60.

Since the numbers a, b, c and d are consecutive even integers, let's try this:

a + (a+2) + (a+4) + (a+6) = 60.    Then 4a+2+4+6=60, or 4a = 48, or a=12.

Then a=12, b=14, c=16 and d=18.  Note how (12+14+16+18) / 4 = 15, which is the given mean.

We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.


</span>
8 0
3 years ago
A container holds a combination of nickels and quarters. There are 156 coins in all, and their total value is $21.60. The system
Tatiana [17]
X+y=156
<span>0.05x+0.25y=21.6

-1/4*/ x+y=156
1/20x+1/4y=216/10

-1/4x-1/4y=156*-1/4=-39

</span>1/20x+1/4y=216/10
<span>+--------------------------
-4/20x=-17,4

x=87

</span>x+y=156
<span>
87+y=156    y=69

this question answer is </span><span>87 nickels and 69 quarters</span><span>

</span>
3 0
2 years ago
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