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3 years ago

What is the slope of the line through the points (-2, -1) and (4, 3)?

Mathematics

2 answers:

icang [17]3 years ago

8 0

Answer:

2/3.

Step-by-step explanation:

Slope = difference in y values / difference in x values.

= (3 - -1) / (4 - -2)

= 4 / 6

= 2/3.

balu736 [363]3 years ago

7 0

Answer:

slope = $\frac{2}{3}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (4, 3)

m = $\frac{3+1}{4+2}$ = $\frac{4}{6}$ = $\frac{2}{3}$

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Lily is cutting a piece of yarn into 3 (three) pieces. The 2nd piece is 3 times as long as the 1st piece, while the 3rd piece is

STatiana [176]

Answer:

The length of the first piece = 41 cm

Step-by-step explanation:

Let the length of the first piece = a

Let the length of the second piece = b

Let the length of the third piece = c

we are given the following:

b = 3a . . . . . (1) (The 2nd piece is 3 times as long as the 1st piece)

c = 6 + a . . . . (2) (the 3rd piece is 6 centimeters longer than the 1st piece)

a + b + c = 211 . . . . . (3) ( the yarn has a total length of 211 centimeters)

Next, let us eliminate two variables, and this can easily be done by substituting the values of b and c in equations 1 and 2 into equation 3. this is done as follows:

a + b + c = 211

a + (3a) + (6 + a) = 211 ( remember that b = 3a; c = 6 + a)

a + 3a + 6 + a = 211

5a + 6 = 211

5a = 211 - 6 = 205

5a = 205

∴ a = 205 ÷ 5 = 41 cm

a = 41 cm

Therefore the length of the first piece (a) = 41 cm

now finding b and c

substituting a into equation 1 and 2

b = 3a

b = 3 × 41 = 123

∴ b = 123 cm

c = 6 + a

c = 6 + 41 = 47

∴ c = 47 cm

6 0

2 years ago

Help! The most helpful answer will be marked as BRAINLIEST!

lawyer [7]

Answer:

Step-by-step explanation:

16=5p-6

17=y

8 0

2 years ago

Expand and simplify 4(2x +7) – 3(x + 5)

Vikentia [17]

Answer:

$4\left(2x+7\right)-3\left(x+5\right)=5x+13$

Step-by-step explanation:

Given the expression

$4\left(2x+7\right)-3\left(x+5\right)$

Expand and simplify the expression

$4\left(2x+7\right)-3\left(x+5\right)$

Expand 4(2x + 7) = 8x + 28

$4\left(2x+7\right)-3\left(x+5\right)=8x+28-3\left(x+5\right)$

Expand -3(x + 5) = -3x - 15

$=8x+28-3x-15$

Group like terms

$=8x-3x+28-15$

Add similar elements: 8x - 3x = 5x

$=5x+28-15$

Simplify

$=5x+13$

Therefore, we conclude that:

$4\left(2x+7\right)-3\left(x+5\right)=5x+13$

6 0

2 years ago

If a 40-foot tree casts a 16-foot shadow, find the length of the shadow cast by a 24-foot tree

Mrrafil [7]

40/16 = 24/x

16*24 = 384

x = 384 / 40

x =9.6

it cast a shadow 9.6 feet long

8 0

2 years ago

Give the solution set for the inequality 7x < 7(x - 2) in interval notation.

eduard

ANSWER:

The solution set for the inequality 7x < 7(x - 2) is null set $\varnothing$

SOLUTION:

Given, inequality expression is 7x < 7 × (x – 2)

We have to give the solution set for above inequality expression in the interval notation form.

Now, let us solve the inequality expression for x.

Then, 7x < 7 × (x – 2)

7x < 7 × x – 2 × 7

7x < 7x – 14

7x – (7x – 14) < 0

7x – 7x + 14 < 0

0 + 14 < 0

14 < 0

Which is false, so there exists no solution for x which can satisfy the given equation.

So, the interval solution for given inequality will be null set

Hence, the solution set is $\varnothing$

3 0

3 years ago