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antiseptic1488 [7]
3 years ago
11

Please help on number 11 just like number 10

Mathematics
1 answer:
Alja [10]3 years ago
7 0
Attachment Unavailable 
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What is the equation of a circle with a center located at (-3, 4) and a diameter of 14?
AnnZ [28]

Answer: (x + 3)^2 + (y - 4)^2 = 49

Step-by-step explanation:

The equation of a circle given the center and radius: (x - h)^2 + (y - k)^2 = r^2

Given: center (-3,4) ; h = -3 and k = 4

diameter = 14

To find the radius: divide the diameter by 2 = 14/2 = 7 = r

Center: (-3,4) and radius: 7

Equation of a circle: (x - h)^2 + (y - k) ^2 = r^2

Substitute h = -3, k = 4, r = 7

(x - (-3))^2 + (y - 4)^2 = 7^2

Answer:

Equation of the circle: (x + 3)^2 + (y - 4)^2 = 49

7 0
3 years ago
High expression is equivalent to ^4 square root x^10
Talja [164]

In order to find which <u>expression</u> is <u>equivalent</u> to \sqrt[4]{x^{10}}, <u>simplify</u> all given expressions:

0.

\sqrt[4]{x^{10}}=x^{\frac{10}{4}}=x^{\frac{5}{2}}=x^{2.5}.

1.

x^2(\sqrt[4]{x^2})=x^2\cdot x^{\frac{2}{4}}=x^2\cdot x^{\frac{1}{2}}=x^2\cdot x^{0.5}=x^{2.5}.

2.

x^{2.2}.

3.

x^3(\sqrt[4]{x} )=x^3\cdot x^{\frac{1}{4}}=x^3\cdot x^{0.25}=x^{3.25}.

4.

x^5.

Therefore,

Answer: correct choice is A

7 0
3 years ago
Mai biked 6 and 3/4 miles today, and Noah biked 4 and 1/2 miles. How many times the length of Noah's bike ride was Mai's bike ri
Daniel [21]

Answer:

2/3 times as far

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 80 miles per
VashaNatasha [74]

Answer:

2.8 hours

Step-by-step explanation:

Distance = rate * time

If the west-bound train travels at a rate of 80 mph for t hours, then the distance it travels is 80t.  

If the east-bound train travels at a rate of 90 mph for t hours, then the distance it travels is 90t.

The distance between the trains after t hours is 476; therefore, the distance of the west-bound train plus the distance of the east-bound train equals the total distance between them, 476:

80t + 90t = 476 and

170t = 476 so

t = 2.8 hours

7 0
3 years ago
Solve for w: -4(w+1)=-24 Please explain this like you would a 2 year old and please explain it so it is the easiest way to solve
Andrews [41]

Answer:

Step-by-step explanation:

The first step in solving an equation is to look at it. Identify where the variable is that you're interested in, and see what operations are being performed on that variable.

Here, the variable w has 1 added to it, and the sum is multiplied by -4. The variable is only on the left side of the equation, and is inside parentheses. Inside parentheses, the coefficient of the variable is 1.

These observations tell you that, in some order, you will need to undo the operations of multiplication and addition, and you will have to eliminate parentheses.

You also observe that the multiplication factor of the parentheses (-4) is a factor of the constant on the right side of the equation (-24). This means you have a couple of options for solving this equation:

  1. eliminate parentheses first, using the distributive property
  2. divide by -4 first, to undo the multiplication

The second method is actually faster. We'll illustrate that one first.

__

Divide both sides of the equation by -4 to undo the multiplication by -4.

  -4(w +1)/(-4) = -24/(-4) . . . . . we have indicated the division we want to do

  w +1 = 6 . . . . . . . . . . . . . . . . here is the result of that division

Now, we can add the opposite of +1 to eliminate the constant from the left side. As with all operations on equations, we must do the same thing to both sides. This means we add -1 to both sides of the equation:

  w +1 -1 = 6 -1 . . . . . . we have indicated the addition we want to do

  w = 5 . . . . . . . . . . .  here is the result of that addition

The solution of the equation is ...

  w = 5

__

Often, when parentheses are involved, the numbers are such that the solution method is not as simple as what we just did. In those cases, you would take the approach of eliminating parentheses first. For this equation, it looks like this:

  -4(w +1) = -24 . . . . . . . given

  -4w -4 = -24 . . . . . . . . use the distributive property to eliminate parentheses

We want the variable term by itself, so we need to eliminate the constant -4 that is added on the left. To do that, we add its opposite. This means we add +4 to both sides of the equation.

  -4w -4 +4 = -24 +4 . . . . . . indicating the addition of +4

  -4w = -20 . . . . . . . . . . . . . the result of adding +4

Here, w is multiplied by -4. We want w by itself, so we want to undo that multiplication. That means we want to divide both sides of the equation by -4.

  -4w/(-4) = -20/(-4) . . . . . . indicate the division

  w = 5 . . . . . . . . . . . . . . . . the result of doing the division

The solution of the equation is ...

  w = 5

_____

Our basic approach is to <em>undo the operations done to the variable, in the reverse of the order in which they are done</em>. In that process, we observe the rules of equality: <em>whatever operation you do to one side of the equation must also be done to the other side</em>. (My teacher called this last rule: "keep the equal sign sacred.")

You can always use the distributive property for factoring, collecting terms, or eliminating parentheses.

3 0
3 years ago
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