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3 years ago

What are the slope and the y-intercept of the linear function that is represented by the graph?

Mathematics

2 answers:

Alex3 years ago

6 0

Answer:

They-intercept of the linear function that is represented by the graph is (0,-2)

Step-by-step explanation:

it is where the line meets with the y-axis at a single point, in this case the point is (0,-2)

I hope that this helped

have a good day

Agata [3.3K]3 years ago

6 0

Answer:

Slope: 2/3; y-intercept: -2

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The sum of two integers is 30 and their difference is 2

GalinKa [24]

14 and 16 f4gg0t!!!!!!!!!!!!!!!!!!!!!!

3 0

3 years ago

A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books. What is the probability

Gnesinka [82]

Answer:

Probability that one of them is mathematics and other two are either physics or history books = 0.51

Step-by-step explanation:

Given - A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books.

To find - What is the probability one of them is mathematics and other two are either physics or history books ?

Solution -

Given that,

A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books.

So,

Total number of books = 3 + 3 + 1 = 7

The student has to select 3 books

So, Total number of ways = $^{7} C_{3}$ = 35

So,

Probability that one of them is mathematics and other two are either physics or history books is -

= $\frac{^{3} C_{1}. ^{4} C_{2} }{^{7} C_{3}}$

= $\frac{(3)(6)}{35}$

= $\frac{18}{35}$

= 0.51

⇒Probability that one of them is mathematics and other two are either physics or history books = 0.51

8 0

3 years ago

Answer this by 4:20 EST and I will mark brainliest

Alexxandr [17]

Answer:

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (6, a ) and (x₂, y₂ ) = (9, - 4 )

m = $\frac{-4-a}{9-6}$ = $\frac{-4-a}{3}$

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

2x - 3y = 6 ( subtract 2x from both sides )

- 3y = - 2x + 6 ( divide through by - 3 )

y = $\frac{2}{3}$ x - 2 ← in slope- intercept form

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

Parallel lines have equal slopes , then

$\frac{-4-a}{3}$ = $\frac{2}{3}$ , so

- 4 - a = 2 ( add 4 to both sides )

-a = 6 ( multiply both sides by - 1 )

a = - 6 → A

8 0

2 years ago

Can the sides of a triangle be in the given ratio? 3:4:5

RUDIKE [14]

Answer:

Yes

Step-by-step explanation:

In order to determine if a triple of values will form a triangle, we must apply the Triangle Inequality Theorem, which states that for a triangle with lengths a, b, and c:

a + b > c

a + c > b

b + c > a

Here, let's suppose that since the ratio of the sides is 3 : 4 : 5, then let the actual side lengths be 3x, 4x, and 5x, where x is simply a real value.

With loss of generality, set a = 3x, b = 4x, and c = 5x. Plug these into the Triangle Inequality to check:

a + b > c ⇒ 3x + 4x >? 5x ⇒ 7x > 5x ⇒ This is true

a + c > b ⇒ 3x + 5x >? 4x ⇒ 8x > 4x ⇒ This is also true

b + c > a ⇒ 4x + 5x >? 3x ⇒ 9x > 3x ⇒ This is true

Since all three conditions are satisfied, we know that a true triangle can be formed given that the ratio of their sides is 3 : 4 : 5.

~ an aesthetics lover

5 0

3 years ago

Read 2 more answers

A circle has an area of 1.3 mi2. If a sector of the circle has an area of 0.7 mi2, what is the measure of the central angle in r

OleMash [197]

Answer:

area of circle=πr²=1.3mi²

we have

area of sector=∅/360×πr²

0.7mi²×360=∅1.3

∅=0.7×360/1.3=193.846°×π/180=387.7 radian

3 0

3 years ago

Read 2 more answers