Answer:
x = 34.9 to the nearest tenth.
Step-by-step explanation:
tan 64 = opposite side / adjacent side = x / 17.
x = 17 * tan 64
= 34.855
Answer:
y=-2x+15
Step-by-step explanation:
First, write out the equation in slope-intercept form, with what you already have:
Let "b" represent the y-intercept.
To find the y-intercept, substitute the point (6,3) in for the "x" and "y" variable of the equation and solve for "b":
Therefore, your y-intercept is 15.
That means your equation is slope-intercept form <em>is</em> y=-2x+15.
The original inequality is -3x+4 > 19
Let's replace x with -4 and see what happens.
-3x + 4 > 19
-3(-4)+4 > 19
12+4 > 19
16 > 19
The last inequality is false, so the original inequality is false when x = -4.
This means x = -4 is not a solution to -3x + 4 > 19
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Let's plug in something larger. Let's say x = -3 which is one space to the right of -4 on the number line.
So we get...
-3x + 4 > 19
-3(-3) + 4 > 19
9 + 4 > 19
13 > 19
This doesn't work either. The value x = -3 is not a solution.
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Let's determine which x values will work by solving for x
-3x + 4 > 19
-3x + 4 -4 > 19-4 ... subtracting 4 from both sides
-3x > 15
-3x/(-3) < 15/(-3) ... divide both sides by -3; inequality sign flips
x < -5
The solution set consists of values smaller than -5
So values like {-6, -7, -8, -9, ...} and decimal values as well in that interval.
Take 5 1/2 and put it over 100. This is a complex fraction which means 5 1/2 divided by 100. Convert 5 1/2 to an improper fraction, 11/2, and multiply it by the reciprocal of 100, 1/100. The answer is 11/200.
<u>Explanation:</u>
"4 times as many" means that Beth has 4n more quarters than Michael. When we are comparing Beth and Michael, we obtain the equation "B = 4n", where B is the number of quarters Beth has and m is the number of quarters Michael has. Let's find out how many quarters Michael has.
<u>We know that:</u>
<u>Solution:</u>
- B = 4n
- => 16 = 4n
- => n = 16/4
- => n = 4
Hence, Michael has 4 quarters.