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solniwko [45]
3 years ago
11

John thinks that any two lines must have a point of intersection. Is he correct? If so how do you know. If not, produce a counte

rexample.
Mathematics
2 answers:
katrin [286]3 years ago
8 0

Answer: parallel lines

bekas [8.4K]3 years ago
6 0
This isn't necessarily true. When two lines have equivalent slopes, then they are parallel and will never intersect. 

y=1/2x + 12
y=1/2x + -2
These lines can't intersect because there are equal slopes.
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What is the slope of a line that is perpendicular to the line y= 1/3 x - 2
drek231 [11]

Answer:

slope = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{3} x - 2 ← is in slope- intercept form

with slope m = \frac{1}{3}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{3} } = - 3

4 0
3 years ago
Quick anyone know the answer to this problem?
sweet-ann [11.9K]

Answer:

D

Step-by-step explanation:

Factor the numerators/ denominators

10 - 5 = 5(2a - 1) ← common factor of 5

4a² - 1 = (2a - 1)(2a + 1) ← difference of squares

[ Change ÷ to × and turn second fraction upside down ]

= \frac{2a+1}{5(2a-1)} × \frac{(2a-1)(2a+1)}{10a}

[ cancel the factor (2a - 1) on the numerator/denominator ] leaving

= \frac{(2a+1)^2}{5(10a)} = \frac{(2a+1)^2}{50a}

6 0
4 years ago
Read 2 more answers
Elena has 12 pieces of banana bread. She gives an equal amount of banana bread to five friends. How many pieces of banana bread
lina2011 [118]

<span>Since Elena has 12 bananas and 5 friends we divide 12 by 5 and we will get 2.4 , 2.4 in mixed fraction form is 2 and 2/5. </span>

<span>Thus Elena gives 2 and 2/5 banana bread  to his friends.</span>

Hope this answer will be a good h<span>elp for you.</span>

4 0
4 years ago
Please help me solve for x and find missing side lengths and angle measures,,
Free_Kalibri [48]

Answer: 90

Step-by-step explanatio

7 0
3 years ago
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James is looking at attending SMU for a degree in Legal Studies. The tuition and room and board charges (plus books and other ex
mrs_skeptik [129]

Answer:

Monthly payment = $268.32

Over the 10 years interest

= $32198.4

Step-by-step explanation:

According to the question

James will be paying his interest on a monthly basis.

So let's calculate how much the interest of a month it's going to be become with

P = 64397

R = 5

T =1/12

I = (64397*5*(1/12))/100

I = 321985*(1/12)/100

I = 26832.08333/100

I = 268.32

I = $268.32

So he will be paying$ 268.32 every month for 10 years

But in 10 years we have 10*12= 120 months

So total interest = 120*268.32

= $32198.4

8 0
3 years ago
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