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3 years ago

Find the slope of 4x-y=8 and solve

Mathematics

2 answers:

skelet666 [1.2K]3 years ago

8 0

Answer:

m = 4

Step-by-step explanation:

Slope = 4

Slope-intercept form =

y = mx + b

m = slope

b = y-intercept

y = 4x - 8

Therefore, the slope is 4 and y-intercept is -8.

Hope this helps!!

igomit [66]3 years ago

8 0

Answer:

Slope of line=A/B

=4/-1

=-4

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X^2y^4/z^3 / x^3z^2/y

Likurg_2 [28]

Answer: y3/xz

Step by step is provided in the screenshot below

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3 years ago

Can someone please solve this problem for me?

statuscvo [17]

Answer:

5 and 7.

Step-by-step explanation:

Hey! So to start you need to create an algebraic expression. You can express this problem through the following equation:

*Note: if x is an odd integer, x + 2 is the next consecutive odd integer.

$x *(x+2)=35$

Expanding, you get:

$x^{2}+2x = 35.$

And moving the 35 to the other side, you get a simple quadratic.

$x^{2}+2x -35 =0.$

Solving by factoring:

$(x+7)(x-5)$

This means two possible solutions for the smaller consecutive number are -7 and 5. However the question asks for two positive odd integers, so one of the numbers must be 5. The next will be 7(as its x + 2).

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3 years ago

Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan 1/2 θ

mrs_skeptik [129]

Answer:

Step-by-step explanation:

If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant. But maybe you don't know it isn't and it's a "trick" to throw you off. Hmm...

Anyways, the half angle identity for tangent is

$tan(\frac{\theta}{2})=\frac{sin\theta}{1+cos\theta}$

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.

If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5. That makes the missing side, by Pythagorean's Theorem, -3. Filling in our formula:

$tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{1+(-\frac{4}{5}) }$ which simplifies a bit to

$tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{5}{5} -\frac{4}{5} }$ and a bit more to

$tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{1}{5} }$

Bring up the lower fraction and flip it to divide to get

$tan(\frac{\theta}{2})=-\frac{3}{5}*\frac{5}{1}$ which of course simplifies to

-3. Choice A.

6 0

3 years ago

Any two integers that has the difference as -11

il63 [147K]

Answer:

20 - 31 = -11

it's the right answer

5 0

3 years ago

HELPP PLEASE!!! SOLVE AND SHOW ALL WORK!!!

ruslelena [56]

Answer:

Step-by-step explanation:

4x+6+3x+8=28

combine like terms

7x+14=28

subtract 14

7x=14

divide

x=2

if you plug it in you get-

4(2)+6+3(2)+8=

8+6+6+8=12+16=28

thats how you can check. if you want me to explain more i can totally help

4 0

3 years ago