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2 years ago

A line with a slope of 2 passes through the point (6,4). What is its equation in

Mathematics

1 answer:

m_a_m_a [10]2 years ago

7 0

Answer:

y=2x-8

Step-by-step explanation:

y-y1=m(x-x1)

y-4=2(x-6)

y=2x-12+4

y=2x-8

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Using Postulates and/or Theorems, determine whether ABC~AXY.

Xelga [282]

Answer:

They are not similar

Step-by-step explanation:

To see whether the triangles are similar or not we can compare their side lengths:

AB = 24

AX = 6

AX/AB = 1/4 is the ratio now let's compare this to AY/AC

AY/AC = 10/25 if we simplify this the result will be 2/5 as we can see the side lengths are not proportional so the triangles are not similar.

4 0

2 years ago

You are purchasing a house 12 years from now. the estimated purchase price is $171,600.00. you want to make a 20% down payment.

diamong [38]

Answer:
$238.33

Explanation:
Assume that the amount you need to save per month is x.

You will be saving monthly for 12 years. This means that the amount you will save after 12 years is:
amount saved after 12 years = 12 * 12 * x = 144x

Now, you need to save 20% of $171,600.00. We will first need to calculate this value.
20% of $171,600.00 = 0.2 * 171,600.00 = $34320

Now, to know your monthly savings, equate the total amount saved in 12 years with the amount that needs to be saved and solve for x as follows:
144x = 34320
x = 34320 / 144
x = 238.33

This means that, to meet your goal, you need to save $238.33 monthly for 12 years.

Hope this helps :)

8 0

3 years ago

there are 2,300 licensed dogs in clarkson. A random sample of 50 of the dogs in Clarkson shows that 8 have ID microchips implant

algol [13]

Set up a ratio comparing the sample portion to the whole portion.

x= # of all dogs likely to have chip

Sample: 8 out of 50
Whole: x out of 2,300

8/50= x/2300
cross multiply

(50*x)= (8*2300)
50x= 18400

divide both sides by 50
x= 368

ANSWER: 368 dogs in Clarkson are likely to have a microchip.

Hope this helps! :)

7 0

2 years ago

Read 2 more answers

23,000,022 = 1 use the operation symbole

daser333 [38]

291-2999=10376 square feet

3 0

2 years ago

Find sin 2a and cot 2a:

geniusboy [140]

Answer:

$sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cot(2\alpha ) = \frac{16511}{18720}$

Step-by-step explanation:

$\text{if } cos(\alpha)=\frac{12}{13}\\\text{That must mean we have a triangle with base 12, and hypotenuse 13.}\\\text{Using Pythagoras, we can determine the base of the triangle must be 5.}\\a^2+b^2=c^2 \text{, where c is the hypotenuse and a, b are the two other sides.}\\c^2-b^2=a^2\\\sqrt{c^2-b^2}=a\\\sqrt{13^2-12^2}=\sqrt{169-144}=\sqrt{25}=5\\\text{Therefore, }sin(\alpha) = \frac{5}{12}\\sin(2\alpha)=2sin(\alpha )cos(\alpha)\\\text{(From double angle formulae identities)}\\$

$sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cos(2\alpha )=cos^2(\alpha)-sin^2(\alpha)\\cos(2\alpha )=(\frac{12}{13})^2-(\frac{5}{12})^2=\frac{16511}{24336}\\cot(2\alpha)=\frac{cos(2\alpha)}{sin(2\alpha)}=\frac{\frac{16511}{24336}}{\frac{10}{13}}=\frac{16511}{18720}$

8 0

3 years ago