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3 years ago

Attached is my problem

Mathematics

1 answer:

In-s [12.5K]3 years ago

7 0

Answer:

f(x) = 3x - 3

Step-by-step explanation:

First, the slope of the line has to be the same for it to be parallel, so the slope(coefficient of x) of the equation is 3.

Next, to make it pass through that specific point, we need to add/subtract a number to make the equation cross that point.

f(x) = 3x at x = 2 evaluates as 6, but the equation needs to pass through the point (2, 3), so we subtract 3 from the equation, leaving us with f(x) = 3x-3.

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Find the volume of a cylinder that has a radius of 7 and a height of 18.

ch4aika [34]

Answer:

V = 882pi units^3

or approximately

2769.48 units^3

Step-by-step explanation:

The column of a cylinder is given by

V = pi * r^2 * h

We know the radius is 7 and the height is 18

V = pi * 7^2 *18

V =pi *49 *18

V =882 pi

If we want an approximate answer, we can approximate pi by 3.14

V = 3.14 * 882

V =2769.48

7 0

3 years ago

Read 2 more answers

2, 6, 10, 15, ... O Arithmetic O Geometric O Neither

natima [27]

Given:

The sequence is:

2, 6, 10, 15,...

To find:

Whether the given sequence is Arithmetic, Geometric, Neither.

Solution:

We have,

2, 6, 10, 15,...

Different between consecutive terms are:

$6-2=4$

$10-6=4$

$15-10=5$

Since $4\neq 5$ , therefore the given sequence has no common difference. It means it is not an arithmetic sequence.

Ratio of consecutive terms are:

$\dfrac{6}{2}=3$

$\dfrac{10}{6}=\dfrac{5}{3}$

Since $3\neq \dfrac{5}{3}$ , therefore the given sequence has no common ratio. It means it is not a geometric sequence.

Since the given sequence is neither arithmetic nor geometric, therefore the correct option is C.

3 0

3 years ago

A,B and C are the vertices of one triangle.

dsp73

Answer:

Step-by-step explanation:

Given: The triangle with coordinate A(4,6), B(2,-2) and C(-2,-4). D is the mid point of AB and E is the mid point of AC.

To prove: DE is parallel to BC.

Construction: Join DE.

Proof: If we prove the basic proportionality theorem that is $\frac{AD}{DB}=\frac{AE}{EC}$ , then it proves that DE is parallel to BC.

Now, Mid Point D has coordinates= $(\frac{4+2}{2},\frac{6-2}{2})=(3,2)$ and Mid Point E has coordinates= $(\frac{4-2}{2},\frac{6-4}{2})=(1,1)$

Now, AD= $\sqrt{(4-3)^{2}+(6-2)^{2}}=\sqrt{17}$

DB= $\sqrt{(3-2)^{2}+(2+2)^{2}}=\sqrt{17}$

AE= $\sqrt{(4-1)^{2}+(6-1)^{2}}=\sqrt{34}$

EC= $\sqrt{(1+2)^{2}+(1+4)^{2}}=\sqrt{34}$

Now, $\frac{AD}{DB}=\frac{AE}{EC}$

= $\frac{\sqrt{17}}{\sqrt{17}}=\frac{\sqrt{34}}{\sqrt{34}}=\frac{1}{1}$

Hence, $\frac{AD}{DB}=\frac{AE}{EC}$

Thus, By basic proportionality theorem, DE is parallel to BC.

4 0

3 years ago

Read 2 more answers

A piggy bank contains $4.45 is dimes and quarters. If the bank contains 25 coins, how many dimes are in the bank?

saul85 [17]

Answer:

Step-by-step explanation:

12 dimes is $1.20, so your total for the quarters is $3.25. Since there are 25 coins total and 12 of them are dimes, 25 - 12 = 13, so you have 13 quarters. 13 times its value of 25 cents leaves you with $3.25, fulfilling your needed total.

There likely was an easier way to do this, but I'm unfamiliar with it so I ended up doing this.

4 0

3 years ago

Which expression is equivalent to this expression?

Lyrx [107]

Answer:

a-4b

Step-by-step explanation:

you combine like terms, (-6b)+2b=-4

4a-3a=1a or just a

then you get your awsner a-4

5 0

3 years ago