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3 years ago

Write the equation of the line with the givin slope and y-intercept form GET 10 POINTS

Mathematics

1 answer:

weeeeeb [17]3 years ago

5 0

Answer:

The answer is

$y = \frac{1}{3} x - 1$

Step-by-step explanation:

Let The equation is

$y = mx + c$

Since the straight line intersects with Y axis at - 1

Then x equal to zero

Since m=1/3

Then

$y = \frac{1}{3} x + c \\ when \: y = - \: \: and \: x = 0 \\ then \: c = - 1 \\ y = \frac{1}{3} x - 1$

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Use set notation to write the members of the following set, or state that the set has no members. Odd numbers between 2 and 82 t

adell [148]

Let the set of all Odd multiples of 9 between 2 and 82 be denoted by D, then, using set-builder notation,

$D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}$

The odd multiples of 9, $m$ , in the range $2\le m \le 82$ form the set

$\{9,27,45,63,81\}$

Each member of the set is a term of the arithmetic progression

$U_n=18n+9$

where the values of $n$ range from 0 to 4, or $0\le n\le 4$

Putting these facts together, we get the result

$D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}$

Learn more about set-builder notation here: brainly.com/question/17238769

3 0

2 years ago

Write an inequality for x that would give this isosceles triangle and perimeter of at least 137 ft. 4x+3 2x+7

neonofarm [45]

Answer:

The inequality is $8x+17\geq 137$

Step-by-step explanation:

Given : The isosceles triangle with base and side 4x+3, 2x+7.

And the perimeter is at least 137ft.

To write : An inequality for x

Solution : Let the base $b=4x+3$ and sides $s=2x+7$

The perimeter of Isosceles triangle is $P=2s+b$

where s=side and b=base

Now, we have given that perimeter is at least 137 ft.

Therefore, the inequality form is

$2(2x+7)+(4x+3)\geq 137$

$4x+14+4x+3\geq 137$

$8x+17\geq 137$

5 0

3 years ago

Need help with this please.

iogann1982 [59]

Hi....

Im not sure if i got it right but i think its: 1.8........ Hope this helps. Brainliest Please

4 0

3 years ago

PLZ ANSWER QUIKCLY

Montano1993 [528]

Answer:

$-36x+9$

Step-by-step explanation:

$\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac$

$=-12\cdot \:3x-\left(-12\right)\frac{3}{4}$

Simplify.

7 0

2 years ago

Read 2 more answers

The line CD passes through the points C (2, -1) and D (1, 1). Which of the

inn [45]

Answer:

The equation of the straight line in point - slope form

y +1 = -2 ( x-2)

Step-by-step explanation:

Step(i):-

Given points are C( 2,-1) and D(1,1)

Slope of the line

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

m = -2

Step(ii):-

Equation of the straight line passing through the point ( 2,-1) and having slope

m =-2

y - y₁ = m ( x- x₁)

y - (-1) = -2 ( x-2)

y +1 = -2 ( x-2)

Final answer:-

The equation of the straight line

y +1 = -2 ( x-2)

3 0

2 years ago