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2 years ago

Chang knows one side of a triangle is 13 cm Which set of two sides is possible for the lengths of the other two sides of this

Mathematics

1 answer:

Mazyrski [523]2 years ago

5 0

Answer:

8 cm & 8 cm

Step-by-step explanation:

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Find the volume of each figure. Round to the nearest tenth if necessary.

RideAnS [48]

Answer:

396

Step-by-step explanation:

the volume of a rectangular is calculated as V=l×w×h

l=11, w=12, h=3

V=11×12×3

V= 396

3 0

2 years ago

identify the graph of 9x^2-25y^2=225 for t(0 5) and write an equation of the translated or rotated graph in general form

tamaranim1 [39]

ANSWER

The required equation is:

$9 {x}^{2} - 25{y}^{2} + 250y - 85 0=0$

EXPLANATION

The given equation is

$9 {x}^{2} - 25 {y}^{2} = 225$

Dividing through by 225 we obtain;

$\frac{ {x}^{2} }{25} - \frac{ {y}^{2} }{9} = 1$

This is a hyperbola that has it's centre at the origin.

If this hyperbola is translated so that its center is now at (0,5).

Then its equation becomes:

$\frac{ {(x - 0)}^{2} }{25} - \frac{ {(y - 5)}^{2} }{9} = 1$

We multiply through by 225 to get;

$9 {x}^{2} - 25( {y - 5})^{2} = 225$

We now expand to get;

$9 {x}^{2} - 25( {y}^{2} - 10y + 25 )= 225$

$9 {x}^{2} - 25{y}^{2} + 250y - 6 25 = 225$

The equation of the hyperbola in general form is

$9 {x}^{2} - 25{y}^{2} + 250y - 85 0=0$

5 0

2 years ago

Read 2 more answers

Write an equation in standard form of the line passing through the points (12, 3) and (-3, 8).

aliya0001 [1]

Answer:

x + 3y = 21

Step-by-step explanation:

$(x_{1},y_{1})=(12,3) \\\\(x_{2},y_{2})=(-3,8)\\\\Slope= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \dfrac{8-3}{-3-12}= \dfrac{5}{-15}\\\\= \dfrac{-1}{3}$

Equation of the line: y =mx+ b

$y = \dfrac{-1}{3}x+b\\\\\\Plugin \ x = 12 \ and \ y=3 \ in \ the \ above \ equation\\\\3= \dfrac{-1}{3}*12+b\\\\3= -4+b\\\\3+4 = b\\\\b = 7\\\\\\\y= \dfrac{-1}{3}x+7\\\\$

Multiply the equation by 3

3y = -x + 21

x + 3y = 21

6 0

2 years ago

Which of the following demonstrates the commutative property across multiplication for 2× 10 × 7

Phoenix [80]

Its A. Kelp dont you dare.

5 0

3 years ago

Read 2 more answers

Solve each inequality, graph the solution on the number line, and write the solution in interval notation

Lubov Fominskaja [6]

Answer:

$(-\infty,+\infty)$

Step-by-step explanation:

The given inequality is 3x-2>4 or $5x-3\leq 7$

We group similar terms to obtain: 3x>4+2 or $5x\le7+3$

Simplify to get:

3x>6 or $5x\le10$

x>2 or $x\le 2$

This implies that the solution set is all real numbers.

The solution in interval notation is $(-\infty,+\infty)$

5 0

3 years ago