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4 years ago

What is the equation of the line that contains the points (2,6) and (-2,4)

Mathematics

2 answers:

dlinn [17]4 years ago

8 0

Answer:

y=1/2x+5

graph the points and do the change of y over the change of x to get slope

the 5 is y intercept when you connect the two points where the line touches the y axis the y point is the y- intercept

suter [353]4 years ago

3 0

Answer:

y =1 /2 x+ 5

Step-by-step explanation:

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The sum of three consecutive even numbers is 84. What is the smallest of the three numbers?

kari74 [83]

Answer: 26

Step-by-step explanation: In this problem we have 3 consecutive even numbers whose sum is 84 and it asks us to find the smallest number.

Consecutive even numbers can be represented as x, x + 2, and x + 4.

Since the sum of these is 84, our equation reads

x + (x + 2) + (x + 4) = 84.

Simplifying on the left we get 3x + 6 = 84.

Subtract 6 from both sides and we have 3x = 78.

Divide both sides by 3 and x = 26.

So our smallest number is 26.

6 0

4 years ago

Atraeus is solving the quadratic equation by completing the square. 7x^2 – 14x + 6 = 0 7x^2 – 14x = –6 A(x^2 – 2x) = –6 What is

olganol [36]

Hello,

A=7
Indeed
A(x²-2x)=-6
7x²-14x=-6

==>A=7 and -14=-2A==>A=7

7 0

4 years ago

lim x rightarrow 0 1 - cos ( x2 ) / 1 - cosx The limit has to be evaluated without using l'Hospital'sRule.

zaharov [31]

Answer with Step-by-step explanation:

Given

$f(x)=\frac{1-cos(2x)}{1-cos(x)}\\\\\lim_{x \rightarrow 0}f(x)=\lim_{x\rightarrow 0}(\frac{1-(cos^2{x}-sin^2{x})}{1-cos(x)})\\\\(\because cos(2x)=cos^2x-sin^2x)\\\\\lim_{x \rightarrow 0}f(x)=\lim_{x\rightarrow 0}(\frac{1-cos^2x}{1-cos(x)}+\frac{sin^2x}{1-cosx})\\\\=\lim_{x\rightarrow 0}(\frac{(1-cosx)(1+cosx)}{1-cosx}+\frac{sin^2x}{1-cosx})\\\\=\lim_{x\rightarrow 0}((1+cosx)+\frac{sin^2x}{1-cosx})\\\\\therefore \lim_{x \rightarrow 0}f(x)=1$

6 0

3 years ago

Seven more than the product of a number and 2 is equal to 9

Lina20 [59]

Answer:2x+7=9

Step-by-step explanation:

When it says seven more you add that to the end of the equation and set it equal to 9 then product of a number (x) and 2 so it would be 2x. Hope this helps!

4 0

3 years ago

Data collected from Cape Town shows that

Mademuasel [1]

Answer:

Step-by-step explanation:

We know that 60% of drivers are over 30 years old and 5% of the 60% will be prosecuted for driving offence during the year. We know that 40% are 30 years and younger and 10% of that 40% will be prosecuted. The possibility of a driver 30 and younger being prosectued is:

$=0.4\cdot{0.1}=0.04$

Therefore the probability is 4%

3 0

3 years ago