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3 years ago

I’ll give brainlist award please answer

Mathematics

1 answer:

lina2011 [118]3 years ago

5 0

For answering multiple choice, you can do the following:

Observe the diagram, noting that one curve has positive slope, and the other has negative slope.
Looking at the equations,
if x and y are on the same side of the equal sign, (which is the case here), then
- coefficients of x and y have equal signs (both+, or both -) then the equation has negative slope.
- coefficients of x and y have different signs (+-, or -+), then the equation has positive slope.
We see the second system has both equations with positive slope, and the third system has both equations with negative slopes. They're out!

Next, we check the y-intercept of the first equation (by setting x=0),
first system: 0+2y=-10 => y-intercept=-5, slope=-1/2 Good
fourth system: 0-2y=-10 => y-intercept=+5 No good.

Finally, check the x-intercept of the second equation of the first system (by setting y=0)
first system: 3x-0=12 => x-intercept = 12/3=+4, slope = +3 good

So we conclude the first system is the correct answer.

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20 COINS

Leto [7]

The surface area of a cylinder is given by

$A_A = 2\pi rh$

which is the surface area of cylinder A.

To compute the surface area of cylinder B, we have to map $(r,h)\mapsto (2r, 2h)$ and we have the following formula

$A_B = 2\pi(2r)(2h)$

If we manipulate the second expression, we have

$A_B = 8\pi rh$

Which implies

$\dfrac{A_B}{A_A} = \dfrac{8\pi rh}{2\pi rh} = 4$

5 0

3 years ago

Trapezoid ZOID is congruent to trapezoid TRAP. If vertices 2 and have coordinates (0, -2) and (0, -5) respectively, which of the

vlada-n [284]

The trapezoids are congruent if the corresponding sides of each trapezoid are equal

The option that gives the possible coordinates for the vertex I is the option;

$\underline{(-4.5, -5)}$

Reason:

The given coordinates of the trapezoid TRAP = T(3, 5), P(3 2), R(6, 5), and A(7.5, 2)

The given coordinates of the trapezoid ZOID = Z(0, -2), and D(0, -5)

Required: The possible coordinates for a vertex on ZOID

Solution:

The given points of the trapezoid are the height of the trapezoid ZOID

The possible vertex of I, and O are;

I(4.5, -5), I(-4.5, -5), O(3, -2), O(-3, -2)

Therefore;

The option that gives the possible coordinates (position) of a vertex I is the option $\underline{(-4.5, -5)}$

Learn more here:

brainly.com/question/12871672

3 0

3 years ago

There are (n r) different linear arrangements of n balls of which r are black and n-r are white. give a combinatorial explanatio

Vanyuwa [196]

Answer:

$\frac{n!}{r!(n-r)!}$

Step-by-step explanation:

Combinatorial explanation:

The n balls have to be arranged in n positions and the only distinction is where are the black and where white balls are.

We can choose the position of black balls in $\binom{n}{r}$ ways, therefore, white ones are on the remaining positions.

Using binomial we can have explanation written below:

The balls can be arranged in n! possible permutations.

To be precise one particular arrangement includes $r!(n-r)!$ permutations. Since r black balls can be permuted in r! ways and white balls in (n-r)! different orders.