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3 years ago

Triangle ABC with vertices A(-4, 2), B(4,7), and

Mathematics

1 answer:

scZoUnD [109]3 years ago

8 0

9514 1404 393

Answer:

A'(-4, -2), B'(4, -7), C'(5, -1)

Step-by-step explanation:

Reflection in the x-axis changes the sign of each y-coordinate.

(x, y) ⇒ (x, -y)

A(-4, 2) ⇒ A'(-4, -2)

B(4, 7) ⇒ B'(4, -7)

C(5, 1) ⇒ C'(5, -1)

You might be interested in

Find the possible value or values of y in the quadratic equation 4 – 4y – y 2 = 0. A. y = –3, y = –1 B. y = 2 C. y = –2 + 2√ 2,

xz_007 [3.2K]

4 - 4y - y² = 0
-y² - 4y + 4 = 0
y = -(-4) ± √((-4)² - 4(4)(-1))
2(-1)
y = 4 ± √(16 + 16)
-2
y = 4 ± √(32)
-2
y = 4 ± 4√(2)
-2
y = 4 + 4√(2) or y = 4 - 4√(2)
-2 -2
y = -2 - 2√(2) or y = -2 + 2√(2)

The answer is C.

8 0

3 years ago

HELPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEE

Kryger [21]

Answer:

132°

Step-by-step explanation:

Angle JKH and IHK are alternate interior angles, and thus congruent.

Since JKH is 132 degrees, so is IHK

7 0

3 years ago

Pls help me solve this

sammy [17]

Answer:

4 kg of sugar would contain $1.2 \times 10^9$ crystals.

Step-by-step explanation:

Given that 3kg of sugar contains 9 × 10⁸ crystals, let "x" represent the number of sugar crystals 4kg of sugar would contain.

Thus, set up a proportion as follows:

3 kg : 9 × 10⁸ = 4 kg : x

$\frac{3}{9 \times 10^8} = \frac{4}{x}$

Solve for x. Cross multiply.

$3 \times x = 9 \times 10^8 \times 4$

$3x = 36 \times 10^8$

$3x = 3.6 \times 10^9$

Divide both sides by 3

$\frac{3x}{3} = \frac{3.6 \times 10^9}{3}$

$x = 1.2 \times 10^9$

4 kg of sugar would contain $1.2 \times 10^9$ crystals.

5 0

3 years ago

A youth organization collected nickels and dimes for a charity drive. By the end of the 1-day drive, the youth had collected $63

uysha [10]

Let, the numbers of nickels be x.

Given, there were 5 times as many dimes as nickels.

So, the number of dimes = 5x

We know that 1 nickel = $(0.05)

So x nickels = $(0.05x)

Also we know that 1 dime = $(0.1)

So 5x dimes = $(0.1 ×5x) = $(0.5x)

Given total value of dimes and nickels at the end of day 1 is $63.80

So we can write the equation

$0.05x+0.5x = 63.80$

$0.55x = 63.80$

Now we to find x, we have to move 0.55 to the other side. As 0.55 is multiplied there so to move it we need to divide it to both sides.

$0.55x/0.55 = 63.80/0.55$

$x = 116$

So we have got the number of nickels = 116

Number of dimes = 5x = 5(116) = 580

So we have got the required answer.

Number of nickels = 116, number of dimes = 580.

8 0

3 years ago

The distance between two stars is 9.0 x 10 to the power of -3 light years. A light year is equal to

sergey [27]

Answer:

The distance between the two stars in miles is 5.292 * 10^10 miles

Step-by-step explanation:

Here, we want to make a conversion from light year to miles

To make this conversion, we simply are going to multiply the light year by the miles

Mathematically, we have this as;

9 * 10^-3 * 5.88 * 10^12

= 52.92 * 10^9

= 5.292 * 10^10 miles

6 0

3 years ago