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kondor19780726 [428]
3 years ago
14

James is twice as old as Hannah. Four years from now, the sum of their ages will be 41. How old are they now?

Mathematics
1 answer:
NemiM [27]3 years ago
4 0
James is 24.5 and Hannah is 12.5.
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Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function a(x) = x2 - 10x +2?
zysi [14]

Answer:

5 units to right and 23 units down

Step-by-step explanation:

The vertex of f(x)=x^{2} is at (0,0).

In order to find the vertex of function a(x), we convert the function a(x) to vertex form.

The general vertex form is y=a(x-h)^{2} +k.

Here, (h,k) is the vertex.

a(x)=x^{2} -10x+2\\ a(x)=(x-5)^{2}-25+2=(x-5)^{2}-23

So, the vertex of the graph of a(x) is at (5,-23) and the vertex of f(x) is at (0,0).

Therefore, in order to translate (0,0) to (5,-23), we have to move the vertex of f(x) 5 units to right and then 23 units down.

8 0
3 years ago
29. In the figure, EA, ED and DC are the tangents to the circle at A,B and C respectively
PtichkaEL [24]

u are dum idiot mad stupid boy idiot

7 0
3 years ago
What is the equation of the line that passes through the point (-6, -2) and has a<br> slope of 1/6
Levart [38]
<h2>Answer:</h2>

Step 1: Determine <u><em>b</em></u> by using the point (-6,-2), the given slope, and the slope intercept formula, y = mx + b.

y = mx + b\\\\-2 = \frac{1}{6}(-6) + b\\\\-2 = -1 + b\\\\-1 = b

Step 2: Now that we have <u><em>b</em></u>, we can determine the equation of the line.

y = \frac{1}{6}x -1

I didn't use <em>+ (-1)</em> because <em>b</em> is negative. Therefore you need to change the equation from <em>y = 1/6x + (-1)</em> to <em>y = 1/6x - 1</em>.

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3 years ago
PLEASE HELP ME OUT!!
lara31 [8.8K]
The south side of town would be the better option.
7 0
3 years ago
Write each decimal in expanded form- <br>a.0.493<br>b.1.222
lapo4ka [179]
0.493 = 0.000 + 0.400 + 0.090 + 0.003
It may be also written as: 0.493 = 0 + 0.4 + 0.09 + 0.003

1.222 = 1.000 + 0.200 + 0.020 + 0.002
It may be also written as: 1.222 = 1 + 0.2 + 0.02 + 0.002
8 0
3 years ago
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