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3 years ago

Evaluate each expression g5-h3 if g=2 and h=7

1 answer:

7 0

Look at it this way:
g=2
H=7
so it would be 2*5-7*3
than just do the multiplication first so 2*5=10 and 7*3=21 than subtract the two 10-21=-11

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The height of water shooting from a fountain is modeled by the function f(x) = −0.2x2 − 2.8x − 5.4 where x is the distance from

balandron [24]

Start by setting the function equal to 0 and then moving the -5.4 over to the other side of the equals sign. $-.2 x^{2} -2.8x=5.4$ . The first rule for completing the square is that the leading coefficient be a +1. Ours is a -.2. So we need to factor it out. $-.2( x^{2} +14x)=5.4$ . Now we will take half the linear term, square it, and add it to both sides. Our linear term is 14. Half of 14 is 7, and 7 squared is 49. So we add 49 in to the left side just fine, but we cannot forget about that -.2 hanging around out front as a multiplier. What we have actually "added" in is -.2*49 which is -9.8. Now here's what we have after all that: $-.2( x^{2} +14x+49)=5.4-9.8$ . In that process, we have created a perfect square binomial on the left. Along with expressing that binomial we will do the math on the right: $-.2(x+7) ^{2} =-4.4$ . Now we will move the -4.4 back over by addition, and it will then be apparent as to what our vertex is. The y coordinate of the vertex will give us the max height of the water. $-.2(x+7) +4.4=y$ . As you can see, our work matches choice C from above.

4 0

3 years ago

Someone help me, like I need it desperately

Ierofanga [76]

Answer:

S and U are centres of the respective circles.

a. Three radii of Circle S : SU , SR , ST

(Lines from the centre of the circle to its circumference)

b.Three radii of Circle U : US , UR , UT

(Lines from the centre of the circle to its circumference)

c.The radii of the two circles are equal to each other as they are congruent to each other.

3 0

4 years ago

Give a rule this sequence could follow and list the next 3 terms 0,5

aleksandrvk [35]

Answer:

collect5....0,5,10,15,20...

Step-by-step explanation:

6 0

3 years ago

Can you help me i don’t know the answers

Advocard [28]

1)

An irrational number is a number that a) can't be written as a fraction of two whole numbers AND b) is an infinite decimal without any sort of pattern.

For the first answer choice, clearly $\frac{1}{3}$ does not pass the first criterion so we look at the second choice.

Let's come back to $\sqrt{2}$ and $\pi$ .

$\frac{2}{9}$ doesn't meet our first criterion, and let's skip $\sqrt{3}$ for now.

It is often easier to disprove an irrational number than to prove one. There are a few famous irrationals to know (although there is an infinite number of irrationals). The most common are $\sqrt{2}, \pi, e, \sqrt{3}$ . For now, it's just helpful to know these and recognize them.

So we can check off $\sqrt{2}, \pi$ and $\sqrt{3}$ .

2)

For this next question, we know that $\sqrt{64} = 8$ . Clearly this isn't irrational. Likewise, $\frac{1}{2}$ isn't irrational. $\frac{16}{4} = \frac{4}{4} = 1$ , which is rational, leaving only $\frac{ \sqrt{20}}{5} = \frac{2 \sqrt{5} }{5}$ . By process of elimination, this is the correct answer. Indeed, $\sqrt{5}$ is an irrational number.

3) This notation means that we have 0.3636363636... and so on, to an infinite number of digits. It is called a repeating decimal.

But it can be written as a fraction because its pattern repeats, unlike for an irrational number.

Let's say $x=0.36363636...$ . Would you agree that $100x=36.36363636...$ ? (We choose to multiply by 100 because there are two decimals that repeat. For 1, choose 10, for 3 choose 1,000, and so on.)

Now, let's subtract x from 100x and solve.

$100x=36.36363636\\-x \ \ \ \ \ \ \ -0.36363636\\99x=36\\\\x= \dfrac{36}{99}= \dfrac{4}{11}$

Voila!

4 0

3 years ago

Read 2 more answers

The ratio of triangle abc to the corresponding side of similar triangle def is 3:5. the perimeter of triangle def is 48in. what

Vlad1618 [11]

ABC : DEF
3: 5
3 x 9.6 : 5 x 9.6
28.8 : 48
Perimeter of triangle ABC = 28.8 inch

7 0

4 years ago