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3 years ago

What is the slope of the line that passes through the points (1, -6)(1,−6) and (-8, 9) ?(−8,9)?

Mathematics

1 answer:

Monica [59]3 years ago

4 0

Answer:

The answer to your question is m = -5/3

Step-by-step explanation:

Data

Point 1 = (1, -6)

Point 2 = (-8, 9)

Process

To find the slope just substitute the values in the formula and simplify.

Formula

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

-Identify x1, y1, x2 and y2

x1 = 1 y1 = -6 x2 = -8 y2 = 9

-Substitution

m = (9 + 6) / (-8 - 1)

-Simplification

m = 15/-9

-Result

m = -5/3

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A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 6 grams and the amo

nikitadnepr [17]

Answer:

The jeweler made 11 bracelets and 7 necklaces.

Step-by-step explanation:

Given that a jeweler had a fixed amount of gold to make bracelets and necklaces, and the amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 16 grams, knowing that the jeweler used 178 grams of gold and made 7 more necklaces than bracelets, to determine a system of equations that could be used to determine the number of bracelets made and the number of necklaces made, the following mathematical reasoning should be considered:

(16 - 6) x 7 = 70

178 - 70 = 108

108/6 = 18

18 - 7 = 11

(11 x 6) + (7 x 16) = X

66 + 112 = X

178 = X

Thus, the jeweler made 11 bracelets and 7 necklaces.

4 0

3 years ago

suppose the distnace in feet that an object travels t seconds is given by the formula d=64t^2 how far would the object travel af

Darya [45]

Answer:

The object travels 144,000,000 feet.

Step-by-step explanation:

The distance the object travel after t seconds is given by:

$d(t) = 64t^2$

How far would the object travel after 1.5 * 10^3 seconds

This is d when $t = 1.5 \times 10^3 = 1500$ , so $d(1500)$

$d(1500) = 64*1500^2 = 144000000$

The object travels 144,000,000 feet.

8 0

3 years ago

What is the value of the expression

Neko [114]

Hello!

Answer:

12(3+4+5+...+12+13)= 1,056

Step-by-step explanation:

After evaluating the expression it gave me : 1,056

Hope this helps!

3 0

3 years ago

What are the relative frequencies, to the nearest hundredth, of the rows of the two-way table?

sveta [45]

Answer: A B

Group 1 0.25 0.75

Group 2 0.44 0.56

Step-by-step explanation:

Since we have given that

Number of people of A in group 1 = 15

Number of people of B in group 1 = 45

Total number of people in group 1 is given by

$15+45=60$

Relative frequency of people of A in Group 1 is given by

$\frac{15}{60}=0.25$

Relative frequency of people of B in Group 1 is given by

$\frac{45}{60}=0.75$

Similarly, Number of people of A in group 2 = 20

Number of people of B in group 2 = 25

Total number of people in group 2 is given by

$20+25=45$

Relative frequency of people of A in Group 2 is given by

$\frac{20}{45}=0.44$

Relative frequency of people of B in Group 2 is given by

$\frac{25}{45}=0.56$

Hence, A B

Group 1 0.25 0.75

Group 2 0.44 0.56

6 0

3 years ago

Compare and contrast perpendicular bisected and altitude

elena55 [62]

A perpendicular bisector forms two right angles and splits the line in two equal parts.

The altitude does create two right angles, but doesn't have to create two equal parts.

6 0

3 years ago