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3 years ago

The points (-6, r) and (6,3) lie on a line with slope 3/4. Find the missing coordinate r.

Mathematics

1 answer:

iren [92.7K]3 years ago

8 0

Answer:

r=-6

Step-by-step explanation:

$m=\frac{y2-y1}{x2-x1} \\\frac{3-r}{6-(-6)} =\frac{3}{4} \\4(3-r)=3(12)\\12-4r=36\\-4r=24\\r=-6$

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The circle below is centered at the point 8.4 and has a radius of length 4 what is its equation

pshichka [43]

Answer:

Step-by-step explanation:

(x-8)^2 + (y-4)^2= 16

8 0

3 years ago

Find the x-intercepts of the parabola with vertex (-4,2) and y-intercept (0,-30). Write your answer in this form: (x1, y1),(x2,

Ainat [17]

Vertex form of a parabola
y = a (x - h)^2 + k 

where (h, k) is the vertex 
Substituting the values of h and k.
we get,

y = a(x + 4)^2 + 2 

substituting in the point (0, -30) for x and y
-30 = a (0 + 4)^2 + 2

solve for a,

-30 = 16 a + 2 
-32 = 16 a 
-2 = a 

y = -2(x + 4)^2 + 2 

Put y = 0 

-2 x^2 - 16 x - 30 = 0 
-2(x^2 + 8 x + 15) = 0 
x^2 + 8 x + 15 = 0 
(x + 3)(x + 5) = 0 

x = -3
x = -5

3 0

3 years ago

whilst cooking, you realize you are recipe calls for 15 cups of milk, but you can only measure using 3/4 cups. how many 3/4 cups

Lilit [14]

15/1 multiply by 4 to get the same denominator =
45/4 45 divided by 3 = 15 3/4 cups are needed which equals 45/4 cups of milk

3 0

3 years ago

Find an equation of a line that goes through the points (1,6) and (4, -2). Write your answer in the form y=mx + y.

zmey [24]

Answer:

The desired equation is y = (-8/3)x + 26/3.

Step-by-step explanation:

Moving from (1,6) to (4, -2) involves an increase of 3 in x and a decrease of 8 in y. Thus, the slope of the line thru these two points is m = rise / run = -8/3.

Using the slope-intercept form of the eq'n of a straight line and inserting the data given (slope = m = -8/3, x = 4, y = -2), we get:

y = mx + b => -2 = (-8/3)(4) + b, or -2 = -32/3 + b

Multiply all terms by 3 to clear out the fraction:

-6 = -32 + 3b.

Then 26 = 3b, and b = 26/3.

The desired equation is y = (-8/3)x + 26/3.

8 0

3 years ago

A group of 4 friends went to lunch and spent a total of $40, which included the $34 food bill and the tip. They decided to split

Ber [7]

The amount each friend paid for food is $8. 50 for the food and $1. 50 for the tip.

<h3>What is division?</h3>

The division is one of the most basic mathematical operators. It is used when a number is to be distributed equally in n number of parts.

As it is given that the total of 4 friends went to the lunch, the total amount paid by them is $40, but the food bill was just $34, therefore, the rest of the amount was paid in the tip. If we calculate the tip,

Tip = Total spent - Food bill

Tip = $40 - $34

Tip = $6

Now, as it is that the total amount spend by all on the food is $34, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

$\text{Total amount to be paid by each friend}=\dfrac{\text{Total amount spent by all on food}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$34}{4}\\\\\text{Total amount to be paid by each friend}=\$8.5$

Further, the total amount tip by all is $6, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

$\text{Total amount to be paid by each friend}=\dfrac{\text{Total Tip}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$6}{4}\\\\\text{Total amount to be paid by each friend}=\$1.5$

Hence, the amount each friend paid for food is $8. 50 for the food and $1.50 for the tip.

Learn more about Division:

brainly.com/question/369266

8 0

2 years ago