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never [62]
3 years ago
12

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Indicate in standard form the equation of the line passing through the given point and having the given slope. R(4, 0), m = 5
Mathematics
1 answer:
rosijanka [135]3 years ago
3 0

y - 0 = 5(x-4)

  y = 5x-20

  5x - y = 20  Standard Form  


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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
Kryger [21]

Answer:

The first, second, and fifth statements are correct.

Step-by-step explanation:

We are given a circle with the equation:

x^2+y^2-2x-8=0

And we want to select the statements that are true.

First, we can convert the equation into standard form. We can group each variable:

(x^2-2x)+(y^2)=8

And complete the square for the first term:

(x^2-2x+1)+(y^2)=8+1

Factor and simplify:

(x-1)^2+y^2=9

We can rewrite our equation as:

(x-(1))^2+(y-(0))^2=(3)^2

So, this tells us that we have a circle centered on (1, 0) with a radius of 3 units.

In this case, the first statement, second statement (the point (1,0) is on the x-axis), and fifth statements are correct (the square root of 9 is also 3).

8 0
3 years ago
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What is the slope of the line?
erastovalidia [21]
The slope of what line or are you looking for detention
3 0
3 years ago
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This figure shows △XYZ . MZ¯¯¯¯¯¯ is the angle bisector of ∠YZX . What is XM ? Enter your answer, as a decimal, in the box. unit
astraxan [27]

Answer:

Length of XM is 5.5 units.

Step-by-step explanation:

Given △XYZ where MZ is the angle bisector of ∠YZX . we have to find the length of XM.

A triangle with vertices  X, Y, and Z. Side XZ is base. A line segment drawn from Z to M bisects ∠YZX into two parts ∠YZM and ∠XZM.

YZ=7 units, XZ=11 units and YM=3.5 units

By angle bisector theorem which states that an angle bisector of an angle divides the opposite side in two segments that are proportional to the another two sides of the triangle.

Hence, \frac{YM}{MX}=\frac{YZ}{XZ}

⇒ \frac{3.5}{MX}=\frac{7}{11}

⇒ MX=5.5 units.

Hence, length of XM is 5.5 units.


4 0
3 years ago
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The black graph is the graph of y=f(x). Choose the equation for the red graph.<br> Please Help me!!
katen-ka-za [31]

Answer:

c

Step-by-step explanation:

The red graph is the black graph translated vertically by 1 unit

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus f(x) + 1

Note

y - 1 = f(x) ← add 1 to both sides

y = f(x) + 1 ← as required

The equation of the red graph is

y - 1 = f(x) → c

4 0
3 years ago
Evaluate the expression 5t + 2m for m = 7 and t = 2.
pantera1 [17]

Answer:

<h3>The answer is 24</h3>

Step-by-step explanation:

5t + 2m

m = 7 t = 2

Substitute the above values into the expression

That's

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Hope this helps you

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3 years ago
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