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3 years ago

Use the distributive property to write an equivalent expression. 3(k+10m)

Mathematics

2 answers:

oksian1 [2.3K]3 years ago

8 0

3k + 30m (I think that’s what it’s asking for!)

sveta [45]3 years ago

5 0

I think it is 3(k)+(10m)=13m

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F(x) = x2 + 5<br> When the domain is ={-2.-1,1} what is the range

Citrus2011 [14]

Answer:

Range = {6, 9}.

Step-by-step explanation:

Just plug in the 3 numbers:

Range = (-2)^2+5 , (-1)^2 + 5 and 1^1 + 5

= 9, 6 and 6.

7 0

3 years ago

What percent of 628 is 931?

3241004551 [841]

The answer is 67.45% but you can round it to a 67%

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3 years ago

The equation of a circle is (x – 3)2 +(+8)2 = 36. Relative to the standard equation of a circle (zº+y? = r?), how has

Zolol [24]

Answer:

A. The circle has been shifted 3 units to the right and 8 units down, r=6

Step-by-step explanation:

Recall that the equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center of the circle and $r$ is the radius.

Given that the equation is $(x-3)^2+(y+8)^2=36$ , this tells us that the center of the circle is at $(h,k)\rightarrow(3,-8)$ and the radius is $r=6$ . Since the value of $h$ represents the amount of horizontal shift from the origin and $k$ represents the amount of vertical shift from the origin, then the circle was shifted 3 units to the right and 8 units down.

7 0

2 years ago

PLEASE ANSWER: 3 1/2 + (-7) x (2 2/3 + 1 1/2) = ?

Novay_Z [31]

Answer:

$-\frac{77}{3}$

Step-by-step explanation:

So we have the equation: $3\frac{1}{2} + (-7) * (2\frac{2}{3} + 1\frac{1}{2})$ . and I'm assuming you meant to do mixed fractions and not actually multiplying. 2 * 2/3. So the first thing to do is follow PEMDAS which essentially says Parenthesis first, Exponents next, Multiplication or Division, and then Addition or Subtract. So let's start by evaluating the 2 2/3 and 1 1/2. The first step is to combine 2 into the 2/3 and the 1 into 1/2. This is done by multiplying the 2 by the denominator of 3, and adding it to the numerator so: $2\frac{2}{3} = > \frac{(2*3)+2}{3} = > \frac{8}{3}$ . And you do this for the 1/2 as well: $1\frac{1}{2} = > \frac{(2*1)+1}{2}= > \frac{3}{2}$ .

Now when adding fractions, you can only add them when they have the same denominator, so we have the get 3/2 and 8/3 to have the same denominator. You can list the multiplies of 2 and 3 to try to find a LCM, but in this case, I'll just multiply 2 and 3, since they're really small numbers, also because 6 is the LCM. $\frac{8}{3} * \frac{2}{2} = \frac{16}{6}$ . And now do this to the 3/2 you get: $\frac{3}{2} * \frac{3}{3} = \frac{9}{6}$ . Now the inside of the parenthesis is: $\frac{9}{6} + \frac{16}{6} = \frac{25}{6}$ . So now we have the equation: $3\frac{1}{2} -7 * \frac{25}{6}$ . Also notice how I got ride of the plus sign and made it negative? Think of it as having a 1 in front and simply distributing that to the -7, 1*(-7) becomes -7.

Now to multiply the fraction by a whole number you simply multiply the denominator and numerator, and you can think of the denominator of a whole number as a 1. So this gives you: $\frac{-7}{1} * \frac{25}{6} = \frac{-7 * 25}{1 * 6} = -\frac{175}{6}$ . Now we have the equation: $3\frac{1}{2} - \frac{175}{6}$ . And to subtract these two numbers I'll make the 3 1/2 a fraction by multiplying the 3 by the denominator and adding it to the 1 which should become 7/2. And after that multiply both sides by 3/3 to get 21/6 so they have the same denominator. This gives you the equation: $\frac{21}{6} - \frac{175}{6} = \frac{21-175}{6} = -\frac{154}{6}$ . Which can simplify by dividing both sides by 2 to get: $-\frac{77}{3}$