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3 years ago

10

The directions: Write an equation in point-slope form of the line that passes through the given point and has the given slope m.

The problem: (2,1), m=2

1 answer:

guajiro [1.7K]3 years ago

8 0

Point slope form y- y1 = m(x- x1) coordinates are (2,1) m=2

so the equation becomes y-1= 2(x-2)

You might be interested in

In the circle below, AD is a diameter and AB is tangent at A. suppose mADC=228. Find the measures of mCAB and mCAD. Type your nu

Tju [1.3M]

Answer:

m∠CAB = 66°

m∠CAD = 24°

Step-by-step explanation:

<em>m∠CAB</em>

The given parameters are;

The measure of arc m $\widehat{ADC}$ = 228°

The diameter of the given circle = $\overline{AD}$

The tangent to the circle = $\underset{AB}{\leftrightarrow}$

The measure of m∠CAB and m∠CAD = Required

By the tangent and chord circle theorem, we have;

m∠CAB = (1/2) × m $\widehat{AC}$

However, we have;

m $\widehat{AC}$ + m $\widehat{ADC}$ = 360° the sum of angles at the center of a circle is 360°

∴ m $\widehat{AC}$ = 360° - m $\widehat{ADC}$

Which gives;

m $\widehat{AC}$ = 360° - 228° = 132°

m $\widehat{AC}$ = 132°

Therefore;

m∠CAB = (1/2) × 132° = 66°

m∠CAB = 66°

<em>m∠CAD</em>

Given that $\overline{AD}$ is the diameter of the given circle, we have

The tangent, $\underset{AB}{\leftrightarrow}$ , is perpendicular to the radius of the circle, and therefore $\underset{AB}{\leftrightarrow}$ is also perpendicular to the diameter of the circle

∴ m∠DAB = 90° which is the measure of the angle formed by two perpendicular lines

By angle addition property, we have;

m∠DAB = m∠CAB + m∠CAD

∴ m∠CAD = m∠DAB - m∠CAB

By substitution, we have;

m∠CAD = 90° - 66° = 24°

m∠CAD = 24°

7 0

3 years ago

XY is a translation of XY.

seropon [69]

Given:

The graph of a translation. X'Y' is a translation of XY.

To find:

The rule of the translation.

Solution:

Let the rule of the translation be

$(x,y)\to (x+a,y+b)$ ...(i)

So, we need to find the value of a and b.

From the given graph, it is clear that X(-4,-9) and X'(-1,0).

Using (i), the image of X(-4,-9) is

$X(-4,-9)\to X'(-4+a,-9+b)$

We have, X'(-1,0). So,

$X'(-4+a,-9+b)=X'(-1,0)$

On comparing both sides, we get

$-4+a=-1$

$a=-1+4$

$a=3$

And,

$-9+b=0$

$b=9$

So, the missing values in the rule of the translation are 3 and 9 respectively.

Therefore, the rule of translation is $(x,y)\to (x+3,y+9)$ .

3 0

3 years ago

Zoe counts 4 times as many black kittens as white kittens for sale at the pet store. She counts a total of 25 kittens how many m

valentina_108 [34]

5 x 4 = 20 + 5 = 25
5 x 4 = 20 (black cats), and if you add the number of white cats to that(5) you get 25. So zoe has 20 more black cats than she does white cats

6 0

3 years ago

Read 2 more answers

Convert 1.50 micrometers^2 to m^2. Show your solution.

Vadim26 [7]

Here is the solution for the problem:

<span>1m * 1m = 1m² </span><span>
<span>1m = 1,000,000µm = 1 x 10^6µm </span>
<span>1 x 10^6µm * 1 x 10^6µm = 1m² </span>
<span>1x10^12µm² = 1m² (Now, divide both sides by 1x10^12). </span>
<span>1x10^12µm² / (1 x 10^12) = 1m² / (1 x 10^12) </span>
<span>1µm² = 0∙000 000 000 001 m² (x both sides by 1.5). </span>
<span>1.5µm² = 0∙000 000 000 0015 m² </span>
1.5µm² = 1∙5x10^-12 m²</span>

So 1.50 micrometers^2 is equal to 1.5 x 10^-12 m². I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

8 0

3 years ago

Subtract: (11a+6)-(-7a+12) <br> your answer should be in simplest form.

Ber [7]

(11a+6)-(7a+12) should equal 18a-6 in simplest form.

5 0

3 years ago

Read 2 more answers