All categories

3 years ago

9. Tell whether the table is a linear equation and explain why

Mathematics

1 answer:

MaRussiya [10]3 years ago

7 0

The table is linear because the change because it had a constant slope when we solve for change in y / change in x for each of the data points given. That slope is -0.5 and it’s constant.

You might be interested in

In traveling across flat land, you see a mountain directly in front of you. Its angle of elevation (to the peak) is 3.5°. After

yaroslaw [1]

The height of the mountain is 0. 2 km

<h3>How to determine the height</h3>

First, let's find the hypotenuse of the second triangle

Using the tangent identity, we have;

tan θ = opposite/ adjacent

tan 3. 5 = x/ 19

cross multiply

x = tan 3 . 5 × 19

x = 0. 061 × 19

x = 1. 16 km

Now, we have the hypotenuse side of the second triangle and we need to find the opposite side which is the height of the mountain

Using the sine identity:

sin 9 = y/ 1.16

cross multiply

y = sin 9 × 1. 16

y = 0. 1564 × 1. 16

y = 0. 18 km

y = 0. 2 km in one decimal place

Thus, the height of the mountain is 0. 2 km

Learn more about angle of elevation here:

brainly.com/question/2004882

#SPJ1

7 0

1 year ago

One day, a person went to a horse racing area. Instead of counting the number of humans an horses, he conuted 74 heads and 196 l

DerKrebs [107]

Data:

Humans (x) = 2 Legs
Horses (y) = 4 Legs

74 Heads
196 Legs

Solving:

Addition method

$\left \{ {{x + y =74} \atop {2x + 4y =196}} \right.$

Simplify by (-4) The first equation

$\left \{ {{x + y =74(-4)} \atop {2x + 4y =196}} \right.$
$\left \{ {{-4x - \diagup\!\!\!\!\!4y =-296} \atop {2x + \diagup\!\!\!\!\!4y =196}} \right.$
$\left \{ {{-4x =-296} \atop {2y =196}} \right.$
$-2x = -100.simplify(-1)$
$2x = 100$
$x = \frac{100}{2}$
$\boxed{x = 50}$

Now, to find the number of horses, I will use the following equation and I will replace the found value, we will have:

$x + y = 74$
$50+y = 74$

Number with incognito are to the left of the equality and numbers without incognito are to the right, remembering that when changing of side changes the signal.

$y = 74-50$
$\boxed{y = 24}$

Answer:
Humans = 50
Horses = 24

7 0

3 years ago

If AB = 15, BC = 12, and CA = 8, list the angles of abc in order from smallest to largest.

SIZIF [17.4K]

<span>angles of abc in order from smallest to largest.
<ABC, <CAB, <ACB

Hope it helps

p.s.
smallest angle opposites shortest side
largest angle opposites longest side</span>

6 0

3 years ago

Read 2 more answers

Help pls! will do a 100 point giveaway someone pls help

Tomtit [17]

Answer:

$7,865,000 + (Claire's cases)

Step-by-step explanation:

Euro 2,500,000 x 1.13 = $2825000

£4,000,000 x 1.26 = $5040000

$5040000 + $2825000 = $7865000

3 0