All categories

3 years ago

What is the slope of the line

Mathematics

1 answer:

ankoles [38]3 years ago

6 0

To find the slope of this line, first pick out two points on the line. We'll use (1,4) and (-1,3).

Using this information, you can find the slope with the slope formula: $m=\frac{y_{2}-y_{1}} {x_{2}-x_{1}}$

In this problem, x1=1, x2=-1, y1=4, and y2=3. Now, plug in and solve:

$\frac{3-4}{-1-1}= \frac{-1}{-2} =\frac{1}{2}$

The slope of the line is 1/2.

Hope this helps!

You might be interested in

PLS HELP .........................

Otrada [13]

Answer:

I believe the answer is C :)

Step-by-step explanation:

5 0

2 years ago

Which of the following expressions has a value of 26.48?

gulaghasi [49]

Answer:

$26.48=\dfrac{662}{25}$

Step-by-step explanation:

The given expression is 26.48. We need to write the equivalent expression for it. There are two numbers after decimal. It means that we can divide 2648 by 100 i.e.

$26.48=\dfrac{2648}{100}$

We know that, 2648 = 662 × 4 and 100 = 25 × 4

$\dfrac{2648}{100}=\dfrac{662\times 4}{25\times 4}\\\\=\dfrac{662}{25}$

Hence, $26.48=\dfrac{662}{25}$ is the equivalent expression.

3 0

3 years ago

A carrot has

4vir4ik [10]

Answer:

B- For an equal number of servings, the bananas will have three times as much sugar

Step-by-step explanation:

The complete question is

A carrot has 5 grams of sugar per serving. A banana has 15 grams of sugar per serving. Which statement is true?

A- There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas.

B- For an equal number of servings, the bananas will have three times as much sugar.

C- For an equal number of servings, the bananas will always have 10 more grams of sugar.

D- The amount of sugar in two servings of carrots is 30 grams.

Verify each statement

A- There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas

The statement is False

Because

In 10 servings of carrots there are 10(5)=50 grams of sugar

In 5 servings of banana there are 5(15)=75 grams of sugar

therefore

50 g < 75 g

B- For an equal number of servings, the bananas will have three times as much sugar

The statement is true

Because

In one serving of carrots there are 5 grams of sugar

In one serving of bananas there are 15 grams of sugar

The ratio of grams of sugar in a serving of bananas to grams of sugar in a serving of carrots is 15:5

Simplify

3:1

therefore

An equal number of servings, the bananas will have three times as much sugar

C- For an equal number of servings, the bananas will always have 10 more grams of sugar.

The statement is False

Because

In 10 servings of carrots there are 10(5)=50 grams of sugar

In 10 servings of banana there are 10(15)=150 grams of sugar

$50+10\neq 150$

D- The amount of sugar in two servings of carrots is 30 grams

The statement is False

Because

In 2 servings of carrots there are 2(5)=10 grams of sugar

$10\neq 30$

3 0

3 years ago

Solve for < x < 180degrees

Tamiku [17]

Option C: 90° is the value of x.

Explanation:

The given expression is $4+2 \sin x=14-8 \sin x$ for $0^{\circ} \leq x \leq 180^{\circ}$

We need to solve the expression.

Thus, we have,

$4+2 \sin x=14-8 \sin x$

Subtracting both sides by 4, we have,

$2 \sin x=10-8 \sin x$

Adding both sides by 8 sin x, we get,

$10 \sin x=10$

Dividing both sides by 10, we have,

$sin \ x=1$

Taking $sin^{-1}$ on both sides of the equation, we get,

$x=sin^{-1}(1)$

$x=90^{\circ}$

Thus, the value of x is 90°

Hence, Option C is the correct answer.

4 0

2 years ago

a circular fountain has a radius of 9.4 feet. find its diameter and circumference to the nearest tenth.

pickupchik [31]

Radius = r

Diameter : D = r*2

Circumference : C = 2πr

π = 3.14 rounded

9.4*2 =18.8

2(3.14)9.4

6.28*9.4= 59.03200

Diameter = 18.8

Circumference = 59.03200

7 0

2 years ago