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3 years ago

A system of equation has no solutions. If y=8x+7 is one of the equation, which could be the other equation

1 answer:

8 0

This function, y=8x+7 is linear with a slope (m) =8.

Any other function with slope m = 8 could be the other equation

Example:

y=8x+10
y=8x-5/3
y=8x+10,000
etc.
In short there are an infinity of function

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Help please!

Mamont248 [21]

Answer: see proof below

Step-by-step explanation:

Use the Sum & Difference Identity: cos (A + B) = cos A · cos B - sin A · sin B

Recall the following from Unit Circle: cos (π/2) = 0, sin (π/2) = 1

cos (π) = -1, sin (π) = 0

Use the Quotient Identity: $\tan A=\dfrac{\sin A}{\cos A}$

Proof LHS → RHS:

$\text{LHS:}\qquad \qquad \dfrac{\cos \bigg(\dfrac{\pi}{2}+x\bigg)}{\cos \bigg(\pi +x\bigg)}$

$\text{Sum Difference:}\qquad \dfrac{\cos \dfrac{\pi}{2}\cdot \cos x-\sin \dfrac{\pi}{2}\cdot \sin x}{\cos \pi \cdot \cos x-\sin \pi \cdot \sin x}$

$\text{Unit Circle:}\qquad \qquad \dfrac{0\cdot \cos x-1\cdot \sin x}{-1\cdot \cos x-0\cdot \sin x}$

$=\dfrac{-\sin x}{-\cos x}$

Quotient: tan x

LHS = RHS $\checkmark$

7 0

3 years ago

Read 2 more answers

Four Friends decided to host the grand opening of their bar on St. Patrick’s Day. They built their bars at different distances f

klio [65]

John's Bar 60 km away from Ben's Bar.
Doug's Bar is 40 km away from Kieran's Bar
John's Bar is 10 km nearer to Doug's Bar than Kieran's Bar

If I am to assume that these bar are in a liner position,

Ben's Bar Kieran's Bar John's Bar Doug's Bar
************* 60km*******************

*****************40 km ********************

*********30 km**************

Doug's Bar is 90 km away from Ben's Bar.

Ben to John = 60 km
John to Doug = 30 km
Ben to Doug = 60 + 30 = 90 km.

8 0

3 years ago

Multiply or divide as indicated. Y^-9•y^-8•y^10

BabaBlast [244]

Answer:

1 / y^7

Step-by-step explanation:

Y^-9•y^-8•y^10

= y^10 / y^9•y^8

= y^10 / y^17

= 1 / y^7

8 0

3 years ago

Work out 1/3 + 2/9 Give your answer in its simplest form

Soloha48 [4]

Step-by-step explanation:

1/3 + 2/9 = 3/9 + 2/9 = 5/9

Topic: Fractions

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

4 0

3 years ago

Read 2 more answers

Hey I need this answered i have no clue what to put pls help

Molodets [167]

Answer:

b is correct for Maria but c is correct for the boy

4 0

3 years ago