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3 years ago

Find the slope of the line between points A and B. Simplify your answer.

Mathematics

2 answers:

IRINA_888 [86]3 years ago

8 0

The slope of the two points is -2

Taya2010 [7]3 years ago

6 0

Answer:

-2

Step-by-step explanation:

From the given graph, the point A(1, -4) and B(-1, 0)

Slope (m) = (y2 - y1) / (x2 - x1)

x1 = 1, y1 = -4, x2 = -1 and y2 = 0

Slope (m) = (0 - (-4))/(-1 - 1)

= 4/-2

Slope = -2

Thank you.

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Grandma Marlene and Grandpa Gary are putting holiday lights on the gutters of their house. Grandma Marlene leans a 16-foot ladde

goblinko [34]

Answer: 48

Step-by-step explanation: if i did the math correct 1/3 times the base (9) times 16 is 48. the formula is 1/3 x Bh

8 0

2 years ago

Judy is playing a card game. She needs to select two cards below that have a sum greater

Zielflug [23.3K]

Answer:

$2\frac{2}{5} + 2\frac{5}{8} \simeq 5$

$2\frac{2}{7} + 2\frac{5}{8} \simeq 5$

Step-by-step explanation:

Mixed fraction $a\frac{b}{c}$ can be converted into like or unlike fractions.

Here, $a\frac{b}{c} = \frac{ac +b}{b}$

So, convert all the given fractions as follows:

$2\frac{2}{5} = \frac{2(5) +2}{5} = \frac{12}{5} =2.4$

$2\frac{2}{7} = \frac{2(7) +2}{7} = \frac{16}{7} =2.4$

$1\frac{7}{8} = \frac{1(8) +7}{8} = \frac{15}{8} =1.8$

$2\frac{1}{10} = \frac{2(10) + 1}{10} = \frac{21}{10} =2.1$

$2\frac{5}{8} = \frac{2(8) +5}{8} = \frac{21}{8} =2.6$

Here, No Two fractions on addition gives a sum greater than 5.

But an approximate sum of 5 is given by adding 2.4 + 2.6 = 5

⇒ $2\frac{2}{5} + 2\frac{5}{8} \simeq 5$

or ⇒ $2\frac{2}{7} + 2\frac{5}{8} \simeq 5$

7 0

3 years ago

Write a function rule for the table.

3241004551 [841]

Every hour is 15$, thus you can do x for hours, and the function would be 15x

7 0

3 years ago

Read 2 more answers

Cedric completed the square for the quadratic expression 5x^2−40x+15 in order to determine the minimum value of the expression,

Olegator [25]

Answer:

Step 3 is not correct (should be $(x-4)^2$ , not $(x+4)^2$

Step-by-step explanation:

The expression that we have to simplify is:

$5x^2-40x+15$

We proceed step-by-step, in order to find the mistake did by Cedric:

1) First, we factorize the 5 outside:

$5(\frac{5x^2}{5}-\frac{40x}{5}+\frac{15}{5})=5(x^2-40x+3)$ --> this step is correct

2) We add +16 and -16 inside the brackets:

$5(x^2-8x+16-16+3)$ --> this step is correct

3) We rewrite the term $(x^2-8x+16)$ as the square of a bynomial, which is $(x-4)^2$ , so the expression becomes

$5((x-4)^2-16+3)$ --> we notice that this step is wrong: in fact, Cedric wrote $(x+4)^2$ , which is not correct.

4) Now we continue: we rewrite -16+3 as -13,

$5((x-4)^2-13)$

5) Finally, we multiply the 5 by the terms in the bracket:

$=5(x-4)^2-65$

5 0

3 years ago

Find the arc length of the partial circle.

amid [387]

The arc length of the partial circle is 7.5π

<h3>Calculating arc length</h3>

From the question, we are to determine the arc length of the partial circle

The length of an arc can be calculated by using the formula

$l = \frac{\theta}{360^\circ} \times 2\pi r$

Where $l$ is the length of the arc

$\theta$ is the angle subtended

and r is the radius

From the diagram,

θ = 270°

r = 5

Putting the values into the equation, we get

$l = \frac{270 ^\circ}{360^\circ} \times 2\pi \times 5$

$l = \frac{3}{4} \times 2\pi \times 5$

$l = \frac{30\pi}{4}$

$l = \frac{15}{2}\pi$ OR 7.5π

Hence, the arc length of the partial circle is 7.5π

Learn more on Calculating arc length here: brainly.com/question/16552139

#SPJ1

3 0

2 years ago