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defon
3 years ago
7

What is the y-coordinate of the image of P(3,-4) after a reflection in the x-axis?

Mathematics
1 answer:
natta225 [31]3 years ago
6 0

Answer:

\boxed{4}

Step-by-step explanation:

When you reflect a point (x, y) across the x-axis, the x-coordinate remains the same, but the y-coordinate gets the opposite sign.

Thus,  the y-coordinate becomes \boxed{\textbf{4}}.

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Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 29% each week. The following function represents
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Step-by-step answer:

The base of the exponential function is 1.29 for 7 days, as in

f(x) = 86*(1.29)^x

The new rate for days can be calculated by dividing x by 7 (where x remains the number of weeks), namely

f(x) = 86*1.29^(x/7)

Using the law of exponents, b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x

we simplify by putting b=1.29, a=7 to get

f(x) = 86*(1.29^(1/7))^x

f(x) = 86*(1.037)^x      since 1.29^(1/7) evaluates to 1.037

Rounding 1.037 to 1.04 we get a (VERY) approximate function

f(x) = 86 * (1.04^x)

1.04 is very approximate because 1.04^7 is supposed to get back 1.29, but it is actually 1.316, while 1.037^7 gives 1.2896, much closer to 1.29.

7 0
3 years ago
Read 2 more answers
Terrance claims that for the input coordinates (x, y), a rotation of 180° clockwise about the origin, followed by a reflection o
vodka [1.7K]

Answer:

Terrance is incorect.

Correct output coordinates (-y,-x)

Step-by-step explanation:

Let (x,y) be the input coordinates.

First translation is a rotation of 180° clockwise about the origin. This translation has a rule

(x,y)\rightarrow (-x,-y)

Second translation is a reflection over the line y = x. The general rule for the reflection across the line y=x has the rule

(a,b)\rightarrow (b,a)

When a sequence of two translations are applied to the initial input coordinates, then

(x,y)\rightarrow (-x,-y)\rightarrow (-y,-x)

As you can see Terrance made a mistake and these two transformations do not cancel themselves out.

8 0
3 years ago
Evaluate the expression when x= -7.4 and y= -6.3<br>-7y+2x​
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Answer:  -29.3

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-7(-6.3) + 2(-7.4) = -29.3

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3 years ago
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A 10-foot ladder is leaning against a tree. The bottom of the ladder is 6 feet away from the bottom of the tree. Approximately h
lutik1710 [3]
8 feet, because 10^{2} - 6^{2} = 64;
 \sqrt{64} = 8[tex] 
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4 years ago
Ten minus One-third of a number is 4
zloy xaker [14]
Ok, so you automatically know that you are subtracting 6 from 10 to get 4. So, in order to figure out how it is 1/3 of that number, it is going to be multiplied by 3, getting 18. So, the number would be 18.
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