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3 years ago

3x - 2y + 3z = 6

Mathematics

1 answer:

Andrej [43]3 years ago

3 0

Answer:

Point Form: ( − 2 , 0, 4 ) Equation Form: x = − 2 , y = 0 , z = 4

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

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A 12-m ladder is leaning against a wall.

Len [333]

Answer:

Step-by-step explanation:

Use Pythagorean's Theorem for a right triangle. Your best bet when learning/visualizing word problems is to draw a picture, then learn how to visualize in your head over time.

$3^2+x^2=12^2\\9+x^2=144\\x=\sqrt{135}$

The radical can be further simplified because 135 is the product of 9 and 15. 9 has a perfect root of 3.

$x=3\sqrt{15}$ meters or 11.62 meters

7 0

3 years ago

The sum of two numbers is 61 and the difference is 13. What are the numbers?

8_murik_8 [283]

37+24= 61
37-24= 13

answers: 37, 24

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3 years ago

Is the point (4,-3) a solution for this system?

Oduvanchick [21]

Yes it is.

Step by step explanation:

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3 years ago

Find the value of p in this equation. 2/5p+p=5

Ganezh [65]

Answer:

$p=\frac{25}{7}$

Step-by-step explanation:

$Greetings!$

$I'm~Isabelle~Williams~and~will~be~answering~your~question!$

$(\frac{2}{5}p+p )=5 ~~~~~(Combine ~the~like~terms)$

$\frac{7}{5}p=5$

$Then~multiply~both~sides~by~\frac{5}{7}:$

$(\frac{5}{7} )\times(\frac{7}{5}p )=(\frac{5}{7} )\times(5)$

$p=\frac{25}{7}$

$Hope~my~answer~helps~you!~feel~free~to~ask~further~question.$

$-Isabelle~Williams$

4 0

3 years ago

Cement was poured to make two rectangular prism the prism were stacked as shown 4 feet 3 feet 4 feet 3 feet 2 feet what are leng

Mars2501 [29]

Answer:

V_t = 72 ft^3

Step-by-step explanation:

Solution:-

- The complete question is given in the attachment.

- The length of the smaller rectangular prism ( l ) is the side that runs along horizontal to the page and marked by l = 4 feet.

- The width of the smaller rectangular prism ( w ) is the side that protrudes out of the page, and also share the same dimension as the larger rectangular prism and marked by w = 2 feet.

- The height of the smaller rectangular prism ( h ) is the side that runs vertical to the page and marked by h = 3 feet.

- So the dimensions of the smaller rectangular prism are:

( l , w , h ) = ( 4 , 2 , 3 ) feet

- Similarly, for the larger rectangular prism:

- The length of the larger rectangular prism ( L ) is the side that runs along horizontal to the page and the sum of smaller and upper exposed face length, totaling to L = ( 4 + 4 ) = 8 feet.

- The width of the larger rectangular prism ( W ) is the side that protrudes out of the page, and also share the same dimension as the larger rectangular prism and marked by W = 2 feet.

- The height of the larger rectangular prism ( h ) is the side that runs vertical to the page and marked by H = 3 feet.

- So the dimensions of the larger rectangular prism are:

( L , W , H ) = ( 8 , 2 , 3 ) feet

- The total amount of cement in cubic feet required to make two rectangular prism with dimensions evaluated above is the sum of smaller and larger rectangular prism volumes.

- The volume of a rectangular prism is given by:

V-prism = Length*width*height

- So the total volume V_t would be:

V_t = V_small + V _large

V_t = ( l*w*h ) + ( L*W*H )

V_t = ( 4*2*3 ) + ( 8*2*3 )

V_t = ( 24 ) + ( 48 )

V_t = 72 ft^3

4 0

3 years ago