Determine the intercepts of the line.8x−5y=−11

Mathematics

1 answer:

leva [86]3 years ago

5 0

Answer:

Determine the intercepts of the line.

8x−5y=−11

ANSWER:

$y=\frac{8}{5} x+\frac{11}{5}$

You might be interested in

A farmhouse shelters 11 animals. Some are goats and some are ducks. Altogether there are 34 legs. How many of each animal are th

andriy [413]

We are given that there are 11 animals with a total of 34 legs.

Let G = number of Goats, and D = number of Ducks

then G + D = 11; solving for G, we get G = 11 - D

then, 4G + 2D = 34

substituting the value for G, we get 4(11 - D) + 2D = 34

expanding, we get 44 - 4D + 2D = 34

solving, we get D = 5. Therefore, G = 6

Proof: (5 x 2) + (6 x 4) = 34

4 0

3 years ago

12. Find three consecutive even integers such that

borishaifa [10]

Answer:

10, 11, 12

Step-by-step explanation:

Hi there!

Let x be equal to the smallest integer.

Let x+1 and x+2 be equal to the consecutive integers.

We're given that:

⇒ smallest integer + 2 × middle integer = 20 + largest integer

Construct an equation:

$(x)+2(x+1)=20+(x+2)$

Combine like terms:

$(x)+2(x+1)=20+(x+2)\\x+2x+2=20+x+2\\3x+2=22+x\\2x=20\\x=10$

Therefore, the smallest integer is 10.

This makes the consecutive integers 11 and 12.

I hope this helps!

6 0

2 years ago

The point P on the circle x2 + y2 = r2 that is also on the terminal side of an angle θ in standard position is given. Find the i

Brut [27]

Okay so you do not really need the circle equation. if you make a triangle with it's x length as 3 and it's y length as 4, you will be able to find the third length. Do Pythagorean theorem to find the hypotenuse.
the hypotenuse will be five after you calculate it.

sin is opposite over hypotenuse or Y over R

so... the sin is 4/5

make sure you know what quadrant your triangle is in for the negatives

6 0

3 years ago

Which line is perpendicular to AB line 1 line 2 line 3 line 4

marshall27 [118]

Line 1 is perpendicular

6 0

3 years ago

In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD=√2 cm.

Zielflug [23.3K]

Given that triangle ABC is right angle triangle. CD is altitude such that AD=BC

ABC is a right angle triangle so apply Pythogorean theorem

$AC^{2} + BC^{2} = AB^{2}$