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choli [55]
3 years ago
15

Please help I will give brainiest

Mathematics
2 answers:
miv72 [106K]3 years ago
8 0

Answer:

A) 4

Step-by-step explanation:

3 times 4 is twelve. 1 times 4 is 4. 7 times 4 is 28. All of the numbers on the left can be multiplied by 4 to get the answer on the right.

vovikov84 [41]3 years ago
7 0

Answer:

4

Step-by-step explanation:

The constant of proportionality is what determines the relationship between y and x. If t is the constant of proportionality then an example is y = tx .

So 4 is the constant of proportionality

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antiseptic1488 [7]
It’s 1
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3 years ago
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A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.
mario62 [17]

Answer:

(x-7)^2+(y-5)^2=1

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

<u>Center of the circle:</u>

  • The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)

(x_m, y_m) = (7,5)

This is the center coordinate of our circle.

<u>Radius: </u>

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}

r = \sqrt{(6-7)^2+(5-5)^2}

r = \sqrt{1^2}

r = 1

<u>Equation of the circle: </u>

The equation is written as:

(x-a)^2+(y-b)^2=r^2

here, (a,b) are the center points of the circle

in our case this is (a,b)=(x_m,y_m)=(7,5)

and r = 1

(x-7)^2+(y-5)^2=1^2

(x-7)^2+(y-5)^2=1

This is the equation of the circle!

3 0
3 years ago
One of the roots of the equation x2−5x+q=0 is 2. Find the other root and the value of the coefficient q.
pishuonlain [190]

Answer:

q=6

Step-by-step explanation:

A root can be plugged in for X, so 2(2)-5(2)+q=0. This means -6+q=0. We can now even them out and know q=6

8 0
3 years ago
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Patricia is 5 years older than Wyatt. The sum of their ages is 61. How old are Patricia and Wyatt?
baherus [9]

Answer

w+(w+5)=61

Step-by-step explanation:

4 0
3 years ago
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A county has a goal to build 12,000 bus stop shelters in 48 months . If the county builds 215 bus shelters each month , will it
Leokris [45]

Answer:

No, it will not reach its goal.

Step-by-step explanation:

The main reason why it will not meet its goal is because if you do the math, 215 x 48 does not equal 12000, it equals 10320 which is just 1680 shelters low. Therefore, they will not meet their goal.

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