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lisov135 [29]
2 years ago
12

Write an algebraic expression for the product of 2 and the sum of a number and 6.

Mathematics
1 answer:
allsm [11]2 years ago
7 0
2(x + 6) is what you’re looking for. Have a good day!
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A sign is in the shape of a rhombus with a 60° angle and sides of 12 cm long. Find its area to the nearest tenth. Select one: a.
murzikaleks [220]
The area of a rhombus can be computed from its side (s) and angle (θ) by
.. A = s^2*sin(θ)
For your numbers, this is
.. A = (12 cm)^2*sin(60°) ≈ 124.7 cm^2
3 0
2 years ago
The focal points of an ellipse are (12, 0) and (−12, 0), and the point (12, 7) is on the ellipse. Find the points where this cur
natulia [17]

Answer:

x - ( 16 , 0 ) , ( -16 , 0 )

y - ( 0 ,  4√7 ) , ( 0 , -4√7)

Step-by-step explanation:

Solution:

- The sum of the distances from a point on the ellipse to its foci is constant. You have both foci and a point, so you can find the sum of the distances.

-Then you can find the vertices since they are points on the ellipse on the x-axis whose sum of distances to the foci are that value.

- The 7 in y coordinate of (12,7) is the length of semi-latus rectum. Also c is 12:

                                     c^2 = a^2 + b^2

Where, a: x-intercept

            b: y-intercept

- The length of semi-latus rectum is given by:

                                     b^2 = 7*a

- Substitute latus rectum expression in the first one we get:

                                    c^2 = a^2 + 7a

                                    a^2 + 7a - 144 = 0

                                    ( a - 16 ) * ( a - 9 ) = 0

                                    a = +/- ( 16 )

- The y-intercept we will use latus rectum expression again:

                                    b = +/- √(7*16)

                                    b = +/- 4√7

- The intercepts are:

                                    x - ( 16 , 0 ) , ( -16 , 0 )

                                    y - ( 0 ,  4√7 ) , ( 0 , -4√7)  

                                     

6 0
3 years ago
Write an equation for the line that passes through (2, -2) and (4, -1)​
Dahasolnce [82]

Answer:  y=1/2x-3

Step-by-step explanation:

Slope-intercept form:y=mx+b

m=y2-y1/x2-x1

-1-(-2)/4-2=1/2

y=1/2x+b

-1=1/2(4)+b

-1=2+b

b=-3

6 0
3 years ago
What is the largest possible number of peopel at a party if no two of them have birthdays in the same month
lakkis [162]

Answer:

12

Step-by-step explanation:

The answer is 12 because there are 12 different months in a year and also all the attendees must have birthdays in different months and not in the Same month. Hence 12 the largest possible number of attendees

5 0
2 years ago
I plant grew 3 1/4 inches over 6 1/2 month period. What was the average monthly growth rate for the plant
Sholpan [36]

Answer:

0.5 inches per a month

Step-by-step explanation:

you turn them to a decimal to make them easier and then divide them to get the answer.

6 0
3 years ago
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