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3 years ago

Does x=3 make the equation 5x-3=12 true or false?

Mathematics

2 answers:

Evgen [1.6K]3 years ago

7 0

Answer:

True

Step-by-step explanation:

5 times 3 equal 15. 15 minus 3 equals 12

Kamila [148]3 years ago

3 0

It would be false :)!

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Factor x^2 +5x - 14 ??

Mrrafil [7]

Step-by-step explanation:

answer ; ( x - 2)( x + 7 )

8 0

3 years ago

Zack brought two new jet skis for $15,480 how will make 38 equal payments how much will each payment be?

Free_Kalibri [48]

15480/38=407.368 for each payment

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2 years ago

Find the value of x such that the area of a triangle whose vertices have coordinates (6, 5), (8, 2) and (x, 11) is 15 square uni

Serjik [45]

Answer:

$x =12\ or\ -8$

Step-by-step explanation:

Given

$(x_1,y_1) = (6,5)$

$(x_2,y_2) = (8,2)$

$(x_3,y_3) = (x,11)$

$Area = 15$

Required

Find x

The area is calculated as thus:

$Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|$

Substitute values

$15 = \frac{1}{2}|6*(2 - 11) + 8*(11 - 5) + x(5 - 2)|$

$15 = \frac{1}{2}|6*(-9) + 8*(6) + x(3)|$

$15 = \frac{1}{2}|-54 + 48 + 3x|$

$15 = \frac{1}{2}|-6 + 3x|$

Multiply through by 2

$2 * 15 = \frac{1}{2}|-6 + 3x| * 2$

$30 = |-6 + 3x|$

Remove absolute sign

$30 = -6 + 3x\ or\ -30 = -6 + 3x$

Add 6 to both sides

$36 = 3x\ or\ -24 = 3x$

Divide by 3

$12 = x\ or\ -8 = x$

$x =12\ or\ -8$

<em>So, the coordinates are (-8, 11) or (12,11)</em>

3 0

2 years ago

A sphere has a diameter of 10 in. What is the volume of the sphere?

givi [52]

The volume of sphere is $\frac{500}{3}\pi$ inches cubed.

Step-by-step explanation:

Given,

Diameter of sphere = 10 inches

Radius of sphere = $\frac{Diameter}{2}=\frac{10}{2}$

Radius of sphere = 5 inches

Volume of sphere = $\frac{4}{3}\pi r^3$

V = $\frac{4}{3}\pi (5)^3$

$V = \frac{4}{3}\pi * 125\\\\V = \frac{500}{3}\pi$

The volume of sphere is $\frac{500}{3}\pi$ inches cubed.

Keywords: volume, division

Learn more about division at:

#LearnwithBrainly

5 0

3 years ago

Read 2 more answers

The center of a circle is at the origin. An endpoint of a diameter of the circle is at (-3, -4). How long is the diameter of the

ASHA 777 [7]

Distance from origin x 2

$\sqrt{(0--4)^2+(0--3)^2}=5$

5 x 2 = 10

Diameter = 10

8 0

3 years ago