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Oxana [17]
3 years ago
9

Evaluate 2b² - 3b + 4a² for a= -6 and b=8

Mathematics
1 answer:
eduard3 years ago
7 0

Answer:

Step-by-step explanation:

2b^2 - 3b + 4a^2........a =-6 and b = 8

now we sub

2(8^2) - 3(8) + 4(-6^2)

2(64) - 24 + 4(36)

128 - 24 + 144

272 - 24

248 <==

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The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with
Pani-rosa [81]
Notice the picture below

negative angles, are just angles that go "clockwise", namely, the same direction a clock hands move hmmm so....  and one revolution is just 2π

now, you can have angles bigger than 2π of course, by simply keep going around, so, if you go around 3 times on the circle, say "counter-clockwise", or from right-to-left, counter as a clock goes, 3 times or 3 revolutions will give you an angle of 6π, because 2π+2π+2π is 6π

now... say... you have this angle here... let us find another that lands on that same spot

by simply just add 2π to it :)  

\bf \cfrac{7}{6}+2=\cfrac{19}{6}\qquad thus\qquad \cfrac{7\pi} {6}+2\pi =\cfrac{19\pi }{6}&#10;\\\\\\&#10;\cfrac{19\pi }{6}\impliedby co-terminal\ angle

now, that's a positive one
and  \bf \cfrac{7}{6}-2=-\cfrac{5}{6}\qquad thus\qquad \cfrac{7\pi} {6}-2\pi =-\cfrac{5\pi }{6}&#10;\\\\\\&#10;-\cfrac{5\pi }{6}\impliedby \textit{is also a co-terminal angle}

to get more, just keep on subtracting or adding 2π


8 0
3 years ago
Louise, Tammy, Delores, and Sheryl score 78 points total in the tennis matches they play. They score a consecutive number of poi
irga5000 [103]

\huge\boxed{18\ \text{points}}

We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with x, x+1, x+2, and x+3 respectively since each one is 1 point more than the last.

Add all of these values up and set it all equal to 78.

x+x+1+x+2+x+3=78

Now, simplify.

4x+6=78

Subtract 6 on both sides.

\begin{aligned}4x+6-6&=78-6\\4x&=72\end{aligned}

Divide both sides by 4.

\begin{aligned}\frac{4x}{4}&=\frac{72}{4}\\x&=\boxed{18}\end{aligned}

Since Louise's score is x, the answer is 18.

<h3>Double-checking</h3>

To verify our answer, add the point totals 18, 19, 20, and 21.

This equals 78, so we can be sure the answer is correct.

5 0
2 years ago
2. Which rule best represents the
hoa [83]

Answer:

The answer is A!

Step-by-step explanation: I’m pretty sure it’s A!
Unfortunately I haven’t seen this question on any of my tests but I’m pretty sure It is A! Trust me!

7 0
2 years ago
Big ideas chapter 9 answers
svp [43]

do you have a picture with it??

3 0
3 years ago
Read 2 more answers
What will the movement of a point which is on the surface of a circle touching the ground at the same time, if the circle turns
lesya692 [45]

Answer:

183.26cm

Step-by-step explanation:

Radius of the Circle = 50cm

Let the point be at A

It turns forward 210 degrees to B.

Therefore, the central angle subtended by the arc AB = 210 degrees

The movement of the point from A to B will be the length of the arc AB.

\text{Length of an arc }=\dfrac{\theta}{360} \times 2\pi r \\$Therefore, the distance moved forward$\\=\dfrac{210}{360} \times 2\times\pi \times 50\\\\=183.26$ cm

3 0
3 years ago
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