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faust18 [17]
3 years ago
15

F(x)=5-3x For x=1 And x=3

Mathematics
1 answer:
galben [10]3 years ago
6 0
The answer would be -4
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Josie hikes at 2 and 3/4 miles per hour. How long will it take her to hike 9 and 5/8 miles?
Leviafan [203]
First, let's convert the givens to decimals to make calculations easier:
2 (3/4) = 2.75
9(5/8) = 9.625

We are given that:
Josie can hike 2.75 miles in one hour.
To know the time that Josie would take to hike 9.625 miles, we will simply do cross multiplication as follows:
2.75 miles ..........> 1 hour
9.625 miles .............> ?? hours

Time = (9.625*1) / (2.75) = 3.5 hours
6 0
3 years ago
The trip is 870 miles, one way. How many miles do they travel there and back?
Natasha2012 [34]

Answer:

1740 miles

Step-by-step explanation:

They drive the way twice; once they go there and then they go home. Therefore, 870 times 2 equals 1740.

5 0
3 years ago
Which best describes a transformation that preserves the size, shape, and angles of an object?
vovikov84 [41]
The transformation is ISOMETRY.

In mathematics, an isometry<span> (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed to be bijective. A composition of two opposite </span>isometries<span> is a direct </span>isometry<span>. A reflection in a line is an opposite </span>isometry<span>, like R </span>1<span> or R </span>2<span> on the image.</span>
3 0
3 years ago
help Describe in words the translation of X represented by the translation rule T &lt; -7, -8 &gt; (X).
Shalnov [3]
Rule T < - 7, - 8>

=>

- 7 means shift 7 units to the left

- 8 means shift 8 units down

Therefore, the answer is 7 units to the left and 8 units down
7 0
3 years ago
If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?
Rufina [12.5K]
x is in quadrant I, so 0, which means 0, so \dfrac x2 belongs to the same quadrant.

Now,

\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}

Since \sin x=\dfrac5{13}, it follows that

\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}

Since x belongs to the first quadrant, you take the positive root (\cos x>0 for x in quadrant I). Then

\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}

\tan x is also positive for x in quadrant I, so you take the positive root again. You're left with

\tan\dfrac x2=\dfrac15
4 0
3 years ago
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