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3 years ago

15

The image of (-1, 2) reflected across the line y = -x is

1 answer:

Mkey [24]3 years ago

4 0

Answer:

(2,-1)

Step-by-step explanation:

hoped this helped

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Cm<br> 2<br> om<br> 3 cm<br> 3<br> cm<br> What is the volume of this shape?

leonid [27]

The answer is 47.25 cm. If I’m correct because 3 * 3.5 * 4.5= 47.25.

8 0

3 years ago

The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on

Ierofanga [76]

Answer:

$y =-\frac{1}{2}(x +2)(x - 3)$

Step-by-step explanation:

Given

$x_1 = -2$

$x_2 = 3$

$(x,y) = (-1,2)$ --- a point on the parabola

Required

The equation

First, calculate the equation from the zeros

$y =k(x - x_1)(x - x_2)$

Substitute $x_1 = -2$ and $x_2 = 3$

$y =k(x - -2)(x - 3)$

$y =k(x +2)(x - 3)$

To solve for k, we substitute $(x,y) = (-1,2)$

$2 = k(-1+2)(-1-3)$

$2 = k(1)(-4)$

$2 = -4k$

Divide by -4

$k=\frac{2}{-4}$

$k=-\frac{1}{2}$

So, the equation is:

$y =k(x +2)(x - 3)$

$y =-\frac{1}{2}(x +2)(x - 3)$

8 0

3 years ago

If someone was born 49 months ago, in which year were they born?

Vladimir79 [104]

2014 is 49 months ago

8 0

4 years ago

In ΔABC, a = 660 cm, b = 680 cm and c=100 cm. Find the measure of ∠B to the nearest degree.

scoundrel [369]

Answer:

m∠B = $97^{o}$ .

Step-by-step explanation:

Since the three sides of the triangle are given, then we apply cosine rule.

$b^{2}$ = $a^{2}$ + $c^{2}$ - 2ac Cos B

But, a = 660 cm, b = 680 cm, and c = 100 cm.

So that;

$680^{2}$ = $660^{2}$ + $100^{2}$ -2(660 x 100) Cos B

462400 = 435600 + 10000 - 132000 Cos B

462400 = 445600 - 132000 Cos B

132000 Cos B = 445600 - 462400

= -16800

Cos B = $\frac{-16800}{132000}$

= -0.1273

B = $Cos^{-1}$ -0.1273

= $97^{o}$

Thus, measure of ∠B is $97^{o}$ .

7 0

3 years ago

Read 2 more answers

Jan buys 12 pens for 10$. Each pen costs the same amount of money. Write a proportion to find the number of pens Jan can buy $15

raketka [301]

You can write the proportion as 2 equal fractions or as two equal ratios.
$\frac{12}{10} = \frac{x}{15}$ or 12 pens:$10 = x pens:$15

You can buy x pens for 15 dollars. One way to find x is by cross multiplying the fractions.

10x=12×15
10x=180
----- -----
10 10
x=18

You can buy 18 pens for $15.

7 0

3 years ago