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3 years ago

What is the sum of a number and its additive inverse is equal to -1, 0 or 1?

1 answer:

7 0

Additive inverse: In math the additive inverse of "a" is the number when added to "a" should give zero (a) + (-a) = 0

So the sum of a number and its additive inverse is always equal to zero

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A trapezoid is broken into 2 triangles and 1 rectangle. The triangles both have a base of 2 meters and a height of 5 meters. The

Lemur [1.5K]

Answer:

Part 1) The trapezoid has an area of $20\ m^2$

Part 2) The kite has an area of $21\ m^2$

Part 3) The area of the trapezoid is less than the area of the kite

Step-by-step explanation:

Part 1

Find the area of trapezoid

we know that

The area of trapezoid is equal to the area of two congruent triangles plus the area of a rectangle

$A=2[\frac{1}{2} (2)(5)]+(2)(5)$

$A=10+10=20\ m^2$

Part 2

Find the area of the kite

we know that

The area of the kite is equal to the area of two congruent triangles

$A=2[\frac{1}{2} (7)(3)]=21\ m^2$

Part 3

Compare the areas

The trapezoid has an area of $20\ m^2$

The kite has an area of $21\ m^2$

$20\ m^2< 21\ m^2$

therefore

The area of the trapezoid is less than the area of the kite

5 0

4 years ago

Read 2 more answers

What's the estimate of 189,729

Elenna [48]

It's might be.....180,000 I'm sure

6 0

3 years ago

Read 2 more answers

A commercial jetliner with an air speed of 640 mi/hr leaves Chicago and flies due west at the same time that a small single-engi

Vilka [71]

Answer:

40 mph

Step-by-step explanation:

The speed of separation of the two airplanes traveling in opposite directions is the sum of their respective airspeeds:

640 mi/h + 180 mi/h = 820 mi/h

At the time of interest, their separation distance is ...

1500 mi + 550 mi = 2050 mi

Then the time it took to achieve that separation was ...

time = distance/speed = (2050 mi)/(820 mi/h) = 2.5 h

The actual ground speed of the jetliner was ...

speed = distance/time = 1500 mi/(2.5 h) = 600 mi/h

Since the airspeed of the jet is 640 mi/h, the speed of the air must have subtracted 40 mi/h from its headway.

The wind from the west is 40 mi/h.

_____

<em>Check</em>

The wind adds to the speed of the small plane, so its ground speed is ...

180 mph +40 mph = 220 mph

and the distance it travels in 2.5 hours is ...

distance = speed × time = (220 mi/h)(2.5 h) = 550 mi

This value matches the problem statement, so the answer checks OK.

7 0

3 years ago

What is the equation of the following graph in vertex form?

Zepler [3.9K]

<h3>Answer: Choice B. y = (x+3)^2 - 1</h3>

============================================

How I got that answer:

The vertex is the lowest point of parabolas that open upward.

(h,k) = vertex

(h,k) = (-3,-1)

h = -3

k = -1

For each of the answer choices, a = 1.

The general template of a quadratic in vertex form is

y = a(x-h)^2 + k

Plug a = 1, h = -3, k = -1 into that equation. Simplify.

y = a(x-h)^2 + k

y = 1(x-(-3))^2 + (-1)

y = (x+3)^2 - 1

8 0

3 years ago

Gary's income and expenses in a month are 4,000 and 3,360 respectively.

Marta_Voda [28]

Answer:

84%

Step-by-step explanation:

3360/4000=.84

.84=84%

8 0

3 years ago