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3 years ago

Solve for x. 7(x - 3) 3(4 - x) = -8 x = 1/4 x = 25/10 x = -16/19 x = -41/10

Mathematics

1 answer:

Ann [662]3 years ago

5 0

7(x - 3) + 3(4 - x) = -8
7x - 21 + 12 - 3x = -8
7x - 3x = -8 + 21 - 12
4x = 1
x = 1/4

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30 POINTS AVAILABLE

kherson [118]

Answer:

$\large\boxed{(x-2)^2+(y-1)^2=34}$

Step-by-step explanation:

The equation of a circle in standard form:

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

(h, k) - center

r - radius

We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1$

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

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

Substitute the coordinates of the points (2, 1) and (5, -4):

$r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}$

Finally we have:

$(x-2)^2+(y-1)^2=(\sqrt{34})^2$

3 0

3 years ago

Help................

aniked [119]

Step-by-step explanation:

(1/7)³=1³/7³=1/343
2⁵=32
1.4²=1,4×1,4=1,96

3 0

3 years ago

Read 2 more answers

Simplify the expressipn. -1/2(-5/6+1/3)

iragen [17]

1/4 exact form, 0.25 decimal form.

6 0

3 years ago

For EACH ordered pair, determine if its a solution to 2x+9y=13

vladimir1956 [14]

The answer is (2,1). 2*2=4 and 9*1=9. 9+4=13

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3 years ago

Graph y > 1 -3x<br> A<br> B<br> C<br> Or D

bazaltina [42]

Answer:

D (You got it right.)

Step-by-step explanation:

Whenever the sign is facing them we will always shade the top. Then we have to find the slope which in this case would be 3(the number that is being multiplied by x. Lastly is the sign does not have a line under it or an equal sign. it won't be a straight line it will have little gaps.

6 0

2 years ago