All categories

2 years ago

What is the slope of the line shown in the graph?

Mathematics

2 answers:

faust18 [17]2 years ago

5 0

Answer:

-1 over 2

Step-by-step explanation:

Wewaii [24]2 years ago

4 0

Answer:

-1/2

Step-by-step explanation:

The line joins (-2, 2) and (0, 1).

Remember that slope equals change in y all divided by the change in x.

Here,

change in y = 1 - 2 =- 1

change in x = 0 -(-2) = 2

Thus, slope =- 1/2

You might be interested in

HELp meh with this question it very hard

Dovator [93]

Answer:

AB = 7 cm

Step-by-step explanation:

Use the law of cosines to find the side AB:

$AB = \sqrt{(x + 3)^2+x^2-2x(x+3)cos (60)} =$
$\sqrt{x^2+6x+9+x^2-x^2-3x} = \sqrt{x^2+3x+9}$

Use the Heron's area formula next:

$A = \sqrt{s(s - a)(s-b)(s-c)}$ , where s- semi perimeter

s = 1/2[x + x + 3 + $\sqrt{x^2+3x+9}$ ) = 1/2 (2x + 3 + $\sqrt{x^2+3x+9}$ )
s - a = 1/2 (2x + 3 + $\sqrt{x^2+3x+9}$ - 2x - 6) = 1/2 ( $\sqrt{x^2+3x+9 }$ - 3)
s - b = 1/2 (2x + 3 + $\sqrt{x^2+3x+9}$ - 2x) = 1/2 ( $\sqrt{x^2+3x+9}$ + 3)
s - c = 1/2 (2x + 3 + $\sqrt{x^2+3x+9}$ - 2 $\sqrt{x^2+3x+9}$ ) = 1/2 (2x + 3 - $\sqrt{x^2+3x+9}$ )

Now

(s - a)(s - b) = 1/4 [(x²+3x+9) - 9] = 1/4 (x² + 3x)
s(s - c) = 1/4 [(2x + 3)² - (x² + 3x + 9)] = 1/4 (3x²+ 9x) = 3/4(x² + 3x)

Next

A² = 3/16(x² + 3x)(x² + 3x)
300 = 3/16(x² + 3x)²
1600 = (x² + 3x)²
x² + 3x = 40

Substitute this into the first equation:

$AB = \sqrt{40 + 9} = 7 cm$

4 0

2 years ago

How can scientists use the following pedigree?

kolezko [41]

The answer is C because you can see the different types of forms and colors which shows dominance

3 0

2 years ago

An airplane on autopilot took 7 hours to travel 4,914 kilometers. What is the unit rate for kilometers per hour?

snow_lady [41]

Distance traveled by an airplane in 7 hours = 4,914 kilometers

We have to determine the unit rate for kilometers per hour.

So, distance traveled by an airplane in 1 hour = $4,914 \div 7$

= 702 kilometers.

So, an airplane will travel 702 kilometers in an hour.

Therefore, the unit rate for kilometers per hour is 702 km per hour.

4 0

2 years ago

Determine the relative order of the metric prefixes of kilo-, micro-, centi-, and milli-.

nadya68 [22]

The relative order of the metric prefixes is micro-, milli-, centi- and kilo-,

<h3>What are metric units?</h3>

Metric units are units used to measure quantities

The units are given as:

kilo-, micro-, centi-, and milli-

In metric units, the value of each prefix is:

Kilo = 1000

Micro = 0.0001

Centi = 100

Milli = 0.1

In order of arrangement, we have:

Micro = 0.0001

Milli = 0.1

Centi = 100

Kilo = 1000

Hence, the relative order of the metric prefixes is micro-, milli-, centi- and kilo-,