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3 years ago

Slope is 1/2 and (4,6) is on the line

Mathematics

2 answers:

AleksandrR [38]3 years ago

6 0

Answer:

y-6=1/2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-6=1/2(x-4)

bearhunter [10]3 years ago

5 0

Answer: y=1/2x+4

To solve this, we will use point-slope form.
Let’s write out the equation for
this: y-y1=m(x-x1)

The y1 and x1 are for the point, and the m is for the slope. Let’s substitute this into the equation and solve

y-6=1/2(x-4)

*distribute*

y-6=1/2x-2

*add 6 on both sides*

y=1/2x+4

Hope this helps comment below for more questions :)

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What is a digit in the hundredths pace has 1/10 the value of the same digit of the same digit in the tenths pace?

Sladkaya [172]

Answer:

4,099 and 5,011 are the numbers whose ones place is 1/10 the value of the digit in the tens place. Step-by-step explanation: 1 : 4,099 - Yes, The digit at the ones place is 9 and the digit at the tens place is 90 (as per place value). So, 9 is one tenth of 90.

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3 years ago

Determine whether each sequence is geometric? <br> 1) 60,48,36,24,12,…<br> 2) 3,6,12,24,48,…

balandron [24]

Answers:

Not geometric
Geometric

==================================================

Explanation for problem 1

Divide each term over its previous term.

term2/term1 = 48/60 = 0.8
term3/term2 = 36/48 = 0.75

We can stop here. The two results 0.8 and 0.75 do not match up, so we don't have a common ratio. Therefore, this sequence is <u>not</u> geometric. A geometric sequence must have each ratio of adjacent terms to be the same value throughout the list of numbers.

Side note: This sequence is arithmetic because we are subtracting the same amount each time (12) to generate each new term.

--------------------------------------

Explanation for problem 2

Like before, we'll divide each term by its previous term.

term2/term1 = 6/3 = 2
term3/term2 = 12/6 = 2
term4/term3 = 24/12 = 2
term5/term4 = 48/24 = 2

Each ratio found was 2. This is the common ratio and it shows we have a geometric sequence. It indicates that each term is twice that of its previous term. Eg: the jump from 12 to 24 is "times 2".

5 0

3 years ago

At a local ballpark a team charges $10 per ticket the team must pay its players $4000 it costs the owner $6 for each souvenir th

Bad White [126]

Answer:400

Step-by-step explanation:it didn’t say it gives away and souvenirs so the 6$ can be out the equation and 4000 divided by 10 is 400

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3 years ago

Leo is purchasing a bike that is on sale for 30% off. He knows the function that represents the sale price of his bike is c(p) =

Umnica [9.8K]

Answer:

f[c(p)] = 0.784p

Step-by-step explanation:

sales discount = 30%

sales tax = 12%

c(p) = 0.7p where p is the original price

f(c) = 1.12c where c is the sales price of the bike.

f[c(p)] = 1.12(0.7p)

f[c(p)] = 0.784p Last option.

Assume: p = 100

c(100) = 0.7(100) = 70

f(70) = 1.12(70) = 78.4

f[70(100)] = 0.784(100) = 78.4

7 0

3 years ago

A hyperbola has its center at (0,0), a vertex of (20,0 and an asymptote of y= 13/20x. find the equation that describes the hyber

photoshop1234 [79]

Answer:

$\frac{x^2}{20^2} -\frac{y^2}{13^2} =1$

Step-by-step explanation:

Given that a hyperbola has its centre at (0,0)

Asymptote = y =13x/20

Vertex is on x axis thus a =20

Hence hyperbola will have equation as

$\frac{x^2}{20^2} -\frac{y^2}{b^2} =1$

Asymptotes would be

$\frac{x^2}{20^2} -\frac{y^2}{b^2} =0$

Or y=bx/20

Comparing with given equation we get b =13

Hence asymptote would have equation as

$\frac{x^2}{20^2} -\frac{y^2}{13^2} =1\\\frac{x^2}{400} -\frac{y^2}{169} =1$

4 0

3 years ago