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kodGreya [7K]
2 years ago
5

What is the equation of the line that passes through the point (- 2, - 1) and has a slope of 5/2

Mathematics
1 answer:
Phoenix [80]2 years ago
5 0

Answer:

equation \: of \: a \: line \\ y - y1 = m(x - x1) \\ y - ( - 1) =  \frac{5}{2}(x - ( - 2)) \\ 2(y + 1 )= 5(x + 2) \\ 2y  + 2 = 5x + 10 \\ 2y - 5x - 8 = 0

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jamie and Lauren are playing a game of fraction war. They pick 2 cards each and try to make the greatest fraction. If Jamie pick
Sophie [7]
If they both aren't exchanging the cards and making the fractions from their own picked ones, then Jamie will will have 7/10 and Lauren will have 6/12. 
7/10 is a bigger fraction to 6/12

6/12 is 1/2 in simplified form. To check answer- in decimal format, 7/10=0.7 and 1/2 is 0.5. So, we can say for sure that 7/10 is the greatest fraction.
5 0
3 years ago
write an equation of a line that is perpendicular to the given line and that passes through the given point (4,-6); m=3/5
tresset_1 [31]

Answer:

y=-\frac{5}{3} x-\frac{42}{5}

Step-by-step explanation:

Given the slope and another point, simply plug them into the point-slope formula to find your y-intercept.

y-y1=m(x-x1)\\y-(-6)=\frac{3}{5} (x-4)\\y+6=\frac{3}{5} x-\frac{12}{5} \\y=\frac{3}{5} x-\frac{42}{5}

Now that we've found your y-intercept, we have the original equation. To find the perpendicular equation, you need the opposite reciprocal of your slope.

To find the 'opposite,' change your slope's sign. Since your slope is positive \frac{3}{5}, the opposite is -\frac{3}{5}.

To find the 'reciprocal,' flip your fraction. This will make your slope -\frac{5}{3}.

Your final equation is:

y=-\frac{5}{3} x-\frac{42}{5}

7 0
3 years ago
Mrs. Cronkhite paid $85.00 for her family of 4 to play laser tag and bowl at Evo. If each person cost the same amount to bowl an
choli [55]

Answer:

$21.25

Step-by-step explanation:

Mrs.Cronkhite paid $21.25 per person.

85 divided by 4 is 21.25

Hope this helps!

3 0
3 years ago
Which point is an x-intercept of the quadratic function f(x)=(x-4)(x+2)
Mademuasel [1]

Answer:

x = - 2 or x = 4

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

(x - 4)(x + 2) = 0

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 2 = 0 ⇒ x = - 2

The x- intercepts are at x = - 2, x = 4

3 0
3 years ago
7)
zaharov [31]

Answer:

7.2

Step-by-step explanation:

a good method towards percentages in multiplying both numbers in this case 48 and 15 and then lowering the product by 2 decimal places

3 0
3 years ago
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