All categories

3 years ago

A line has a slope of -3/4 and has a y intercept of 3. What is the x intercept of the line

Mathematics

1 answer:

natima [27]3 years ago

3 0

Answer:

The x-intercept is 4

Step-by-step explanation:

We are given;

The slope of a line as -3/4

y-intercept is 3

We are supposed to determine the x-intercept;

We need to know that;

The slope of a line is given by the ratio of the change in y to the change in x

The coordinates of y-intercept are (0, 3)

Taking the x-intercept as a, then the coordinates of x-intercept is (a, 0)

But;

slope = Δ in y ÷ Δ in x

Therefore;

$\frac{0-3}{a-0}= \frac{-3}{4}$

Solving for a

$-3a = -12 \\ a =4$

Therefore, the x-intercept is 4

You might be interested in

- What is the area of the figure below? Use 3.14 for T. 7 cm 22 cm 18 cm

ziro4ka [17]

Answer: $\Large\boxed{Total~area=586.17~cm^2}$

Step-by-step explanation:

<h2>PART I: Find the area of the triangle</h2>

Given information

$Height=7~cm$

$Base=18~cm$

Given formula

$A=b\times h\times\dfrac{1}{2}$

$A=Area\\b=base\\h=height\\$

Substitute values into the formula

$A=(7)\times (18)\times\dfrac{1}{2}$

Simplify by multiplication

$A=(7)\times 9$

$A=63~cm^2$

<h2>PART II: Find the area of the rectangle</h2>

Given information

$Height = 18~cm$

$Base=22~cm$

Given formula

$A=b\times h$

$A=Area\\b=base\\h=height\\$

Substitute values into the formula

$A=(22)\times (18)$

Simplify by multiplication

$A=396~cm^2$

<h2>PART III: Find the area of the half-circle</h2>

Given information

Diameter = 18 cm

Given formula

$A=(\dfrac{d}{2} )^2\times \pi \div2$

$A=Area\\d=diameter$

Substitute values into the formula

$A=(\dfrac{18}{2} )^2\times (3.14) \div2$

Simplify the fraction

$A=(9 )^2\times (3.14) \div2$

Simplify the exponents

$A=81\times (3.14) \div2$

Simplify by multiplication

$A=254.34\div2$

Simplify by division

$A=127.17~cm^2$

<h2>PART IV: Find the total area</h2>

Given formula

$Total~area=Triangle+Rectangle+circle~(half)$

Substitute values into the formula

$Total~area=(63)+(396)+(127.17)$

Simplify by addition

$Total~area=459+(127.17)$

$\Large\boxed{Total~area=586.17~cm^2}$

Hope this helps!! :)

Please let me know if you have any questions

3 0

2 years ago

Solve the equation. -4n-6=12

Natalka [10]

Answer:

-9/2

Step-by-step explanation:

-4n=12+6

-4n=18

n=-18/4

n=-9/2

5 0

3 years ago

Read 2 more answers

URGENT !!! f(x) = x^2. what is g(x)?

Neporo4naja [7]

Answer:

Step-by-step explanation:

Hello

The point (2,1) is on he graph of g

which means that g(2)=1

for A g(2)=2*4=8

for B g(2)=1/(2*2)

for C g(2)=1

for D g(2) =4/2=2

for the correct answer is C

Hope this helps

8 0

3 years ago

Solve the equation. 5x = 2x^2 +1

Bogdan [553]

Answer:

x= 5/4 + −1/4√17 or x = 5/4 + 1/4√17

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

There are 13 people on the city bus. At the first stop, four people get off and to get on. At the Second stop, six people get of

antiseptic1488 [7]

Answer:

9 people should get on stop 1.

Step-by-step explanation:

If i understood it correctly .

13 people on bus initially.

at first stop - 4 people get off . So 9 people should be on bus.

But few get in bus ( that is what is asked in the question - but it is not super clear to me)

after 2nd stop - there are 12 people on bus.

at 2nd stop 6 people got off.. so there were total of 18 on the bus

So if there were 9 people on bus stop by stop 1 .. so 9 people should have got in bus at stop 1 to make it equal to 18.

Only doubt i have is : if the question is asking how many got on the 2nd stop. also i was not clear what does this line means - At the first stop, four people get off and to get on.

6 0

4 years ago

Read 2 more answers