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3 years ago

0.5x+3.5=6 what is x

Mathematics

2 answers:

nasty-shy [4]3 years ago

6 0

Answer:

Step-by-step explanation:

0.5x=6-3.5

0.5x=2.5

x=2.5÷0.5

x=5

Sav [38]3 years ago

5 0

Answer:5

Step-by-step explanation:

Collect like term:

6-3.5=0.5x

2.5=0.5x

Divide both side by 0.5

Ans:5

Therefore x=5

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write the standard form of the equation of the circle for which the endpoints of a diameter are (0,0) and (4,-6)

Elenna [48]

Given:

The endpoints of a diameter are (0,0) and (4,-6).

To find:

The equation of the circle.

Solution:

The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is

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

$d=\sqrt{(-6-0)^2+(4-0)^2}$

$d=\sqrt{36+16}$

$d=\sqrt{52}$

$d=2\sqrt{13}$

Now, radius is half of the diameter.

$r=\dfrac{2\sqrt{13}}{2}$

$r=\sqrt{13}$

Center of the circle is the midpoint of the endpoints of a diameter.

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

$Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)$

$Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)$

$Center=\left(2,-3\right)$

Standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$

where, (h,k) is center and r is radius.

The center of the circle is (2,-3) and radius is $\sqrt{13}$ . So,

$(x-2)^2+(y-(-3))^2=(\sqrt{13})^2$

$(x-2)^2+(y+3)^2=13$

Therefore, the standard form of the circle is $(x-2)^2+(y+3)^2=13$ .

5 0

3 years ago

Determine if the following events are independent.

Artemon [7]

Step-by-step explanation:

To determine if events are independent, one has to confirm if there's no relationship between the events.

Event A. Not shutting off the water in the kitchen sink.

Event B. Receiving a high water bill.

Both Events are related as Event B is proportional to Event A. This means they are not independent but rather dependent

5 0

3 years ago

Solve the system of equations using elimination: -8x-4y=4 and -5x-y=-11.

ziro4ka [17]

The solutions to the given system of equations are x = 4 and y = -9

<h3>Simultaneous linear equations</h3>

From the question, we are to determine the solutions to the given system of equations

The given system of equations are

-8x-4y=4 --------- (1)

-5x-y=-11 --------- (2)

Multiply equation (2) by 4

4 ×[-5x-y=-11 ]

-20x -4y = -44 -------- (3)

Now, subtract equation (3) from equation (1)

-8x -4y = 4 --------- (1)

-(-20x -4y = -44) -------- (3)

12x = 48

x = 48/12

x = 4

Substitute the value of x into equation (2)

-5x -y = -11

-5(4) -y = -11

-20 -y = -11

-y = -11 + 20

-y = 9

∴ y = -9

Hence, the solutions to the given system of equations are x = 4 and y = -9

Learn more on Simultaneous linear equations here: brainly.com/question/26310043

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6 0

2 years ago

Yoshi is 5% taller today than she was one year ago. Her current height is 168 cm. How tall was she one year ago

NemiM [27]

155.6 CM
I divided 168 by 100 to find 1% then i got 1.68cm then I times that by 5 to find 5% which was 8.4cm. Finally I subtracted 168 and 8.4 to get 155.6 CM
I hope that helped :)

5 0

3 years ago

Read 2 more answers

Can someone help me answer this question ( moderators this is not a copy, the other ones got erased so go away)

Rainbow [258]

Triangles ABC and ADE are similar triangles. That means the sides are all scaled by the same factor.

To go from side BC to side DE, you multiply by 1.25. That means 1.25 is your scale factor. Now apply that factor to the bottom side to get your answer.

Side AB is 6. That means side AD is 6 x 1.25 = 7.5. That means x = 7.5 - 6 = 1.5

6 0

3 years ago