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2 years ago

Points A, B, and C form a triangle. Points A and B are shown on the coordinate plane below. Point C is a reflection of

Mathematics

1 answer:

Montano1993 [528]2 years ago

6 0

Answer:

The answer is given below

Step-by-step explanation:

Given that:

Point A = (-4,3) and point B = (2,3)

Since Point C is a reflection of point B across the x-axis, point C has the same x coordinate as point B but the value of the y coordinate is the opposite sign. Therefore the coordinate of point C is (2,-3). The distance between AB is given as:

$AB=\sqrt{(3-3)^2+(2-(-4))^2}=\sqrt{6^2}=6\ units\\BC=\sqrt{(-3-3)^2+(2-2)^2}=\sqrt{6^2}=6\ units\\$

The height of the triangle is BC and the base is AB. The area of triangle ABC is given as:

Area = 1/2 × base × height = 1/2 × 6 × 6 = 18 unit²

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The surface area A of a cube is equal to the sum on the areas of the 6 square faces that form the cube. If each face has side le

algol [13]

Answer:

18 units

Step-by-step explanation:

Hello, I can help you with this.

Step 1

identify

we have a equation, let's look it

A=6s2

The surface area A of a cube=6(area of a face)

area of face= side*side

Area=6*side*side

Step 2

isolate side from the equation

$side^{2}=\frac{Area}{6}\\side=+\sqrt{\frac{Area}{6}}$

we are looking for a distance, so , we will use only the positive root

Step 3

replace the value of 1944 square units into the equation

$side=+\sqrt{\frac{Area}{6}}\\side=+\sqrt{\frac{1944}{6}}\\side=\sqrt{324}\\\\side=18\\$

so, the value x of a side of a cube with a total

the side of a cube is 18 units when the surface area of the cube shown is 1944 units2

Have a good day.

6 0

2 years ago

Baseball Ichiro Suzuki holds the American League record for the most hits in a single baseball season. In 2004, Suzuki had a tot

mamaluj [8]

Let Home runs = X

Triples would be X-3 ( 3 less triples than home runs)

Doubles would be 3x ( 3 times as many doubles as home runs)

Singles would be 45(x-3) ( 45 times as many singles as triples)

Simplify the equation for singles to be 45x-153

Now you have X + x-3 + 3x + 4x-135 = 262

Simplify:

50x - 138 = 262

Add 138 to both sides:

50x = 400

Divide both sides by 50:

x = 400/50

x = 8

Home runs = x = 8

Triples = x-3 = 8-3 = 5

Doubles = 3x = 3(8) = 24

Singles = 45(x-3) = 45(8-3) = 45(5) = 225

7 0

2 years ago

I don't know how to do this one. plz help

egoroff_w [7]

Answer:

As x decreases without bound, f(x) increases without bound

As x increases without bound, f(x) approaches 0

Step-by-step explanation:

As x gets more and more negative f(x) gets bigger and bigger

f(x) = (7/10) ^ x but x is negative so flip it and then x is a larger number

(10/7) ^ large number so it will get larger

as → -∞ f(x) →∞

As x gets more and more positive f(x) gets smaller and smaller

f(x) = (7/10) ^ x closer and closer to 0. The denominator gets larger faster than the numerator = 1 / large number

as → ∞ f(x) →0

3 0

2 years ago

Solve for x.<br> Sqrt8 (Sqrt2 - x) = 11

Alexus [3.1K]

Answer: $\frac{-7\sqrt{2} }{4}$

Step-by-step explanation:

So first, let's get rid of the parentheses. We can multiply it out to get $\sqrt{16}-x\sqrt{8} =11$ . We know that the square root of 16 is ±4, so now our equation is ±4 - $x\sqrt{8}$ =11. I'm guessing since the problem only has one solution it's most likely only positive 4, so let's revise our equation to 4 - $x\sqrt{8}$ =11. We can use inverse operations to make the a little easier to solve: -7= $x\sqrt{8}$ . We divide both sides by $\sqrt{8}$ to get $\frac{-7}{\sqrt{8} } =x$ , which we can rationalize (remove the square root from the denominator so that it's a proper answer) by multiplying by $\frac{\sqrt{8} }{\sqrt{8} }$ (which is equal to one so we can use it) which is equal to $\frac{-7\sqrt{8} }{8}$ . Let's finish this by simplifying it. $\sqrt{8} =2\sqrt{2}$ (2x $2^{2}$ ). We can simplify it further by simplifying the 2, making it $\frac{-7\sqrt{2} }{4}$ .