All categories

3 years ago

How many times will lines 3x+4y=8 and y-5x=2 intersect

Mathematics

1 answer:

nlexa [21]3 years ago

8 0

They will intersect once at points (0,2). Hope it helps

You might be interested in

Find the solutions to the equation 102x 11 = (x 6)2 – 2. Which values are approximate solutions to the equation? Select two answ

otez555 [7]

You can try finding the roots of the given quadratic equation to get to the solution of the equation.

There are two solutions to the given quadratic equation

$x = 0.202, x = 113.798$

<h3>How to find the roots of a quadratic equation?</h3>

Suppose that the given quadratic equation is $ax^2 + bx +c = 0$

Then its roots are given as:

$x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

<h3>How to find the solution to the given equation?</h3>

First we will convert it in the aforesaid standard form.

$102x + 11 = (x-6)^2 - 2\\102x + 11 + 2 = x^2 + 36 - 12x\\0 = x^2 -114x + 23\\x^2 -114x + 23 = 0\\$

Thus, we have

a = 1. b = -114, c = 23

Using the formula for getting the roots of a quadratic equation,

$x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{114 \pm \sqrt{114^2 - 92}}{2} \\\\ x = 0.202 (\text{used "-" sign})\\\\x = 113.798 ( used "+" sign})$

Thus, there are two solutions to the given quadratic equation

$x = 0.202, x = 113.798$

Learn more here about quadratic equations here:

brainly.com/question/3358603

5 0

3 years ago

Howard planted 20 trees in 4 days. Janet planted 20 trees in 6 days. How long would it take them to plant 20 trees working toget

kipiarov [429]

Answer: I would say 5 days.

Step-by-step explanation:

I added both days together and divided by 2 because there are two individuals working on 20 trees and divided equally it would be 10 and it would take 5 days because that’s half.

6 0

4 years ago

5 centimeters = blank millimeters

Genrish500 [490]

Answer:

In 5 cm there are 50 mm . Which is the same to say that 5 centimeters is 50 millimeters.

Step-by-step explanation:

5 0

3 years ago

Help ASAP <br> √3 (5 + √2)

FinnZ [79.3K]

Answer:

5*sqrt(3)+sqrt(6)

Step-by-step explanation:

sqrt(3)*(5+sqrt(2))=5*sqrt(3)+sqrt(6)

6 0

3 years ago

Read 2 more answers

Which of the following quadratic functions has a graph that opens downward? A.y= 3/2x^2 -3x+15 B.y= 5/2x-3x^2 C.y= 3x^2-x-1 D.y=

gladu [14]

it says if

ax^2+bx+c=0

a<0

answer is D because, there is (-) near of x^2

3 0

3 years ago