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3 years ago

Solve this system of linear equations. Separate

2 answers:

6 0

Since 8 is 1/3 of 24 we can multiply 16x-2y to get 48x-6y, now we can see the two equations equal to each other. So 48x-6y= 4x+5y and you combine like variables by doing the inverse operation so you’ll get 44x= 11y. Simplified, this is 4x= y. So, now you plug in 4x for the y variable in the first equation, so you’ll get 16x- 2(4x)= -8. Then you solve for x...
16x- 8x= -8
8x= -8
x= -1

Then you plug the -1 in for the x variable and then solve... so
16(-1)- 2y= -8
-16- 2y= -8
-2y= 8
y= -4

So, overall your answer will be x= -1, y= -4

amid [387]3 years ago

3 0

Answer:

the answer is 396 beacsue i followed yiur instucton on the note answer.

Step-by-step explanation:

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Find the coordinates of point p , that lies 2/3 of the way on the directed line segment ab where A ( -2,5) , B (4,9)

OleMash [197]

Answer:

(1,7)

Step-by-step explanation:

first find the slope

9-5/4-(-2)=4/6=2/3

5+2=7

-2+3=1

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6 0

3 years ago

Translate 4.5 times q divided by 9

grigory [225]

Answer:

All I can really do is state it differently <> 4.5q /9

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3 years ago

Hey everyone i was trying to setup this problem but I’m stuck can someone tell me setup for number 15 and 16 explain if you can

STatiana [176]

Answer:

15. x = 10 3/11

16. ∠Q = 75°

Step-by-step explanation:

The two base angles of the isosceles triangle are congruent, so both are 180°-8x. The sum of those, together with the apex angle, will be 180°.

... 2(180 -8x) + (5x -67) = 180

... 360 -16x +5x -67 = 180 . . . . . eliminate parentheses

... -11x = -113 . . . . . subtract 293

... x = 113/11 = 10 3/11

_____

<em>Note on the solution</em>

This value of x makes the interior base angles of the triangle be 97 9/11°. The apex angle is then -15 7/11°. The solution is correct—all the angles add up properly—but the geometry cannot exist.

_____ _____

The approach is the same. The sum of the two congruent base angles and the apex angle is 180°.

... 2(2x+15) + x = 180

... 5x + 30 = 180

... x = (180 -30)/5 = 30

... (2x +15)° = (2·30 +15)° = 75° = angle Q

5 0

3 years ago

Please please help!!

shepuryov [24]

Answer:

$\large\boxed{x=0\ and\ x=\pi}$

Step-by-step explanation:

$\tan^2x\sec^2x+2\sec^2x-\tan^2x=2\\\\\text{Use}\ \tan x=\dfrac{\sin x}{\cos x},\ \sec x=\dfrac{1}{\cos x}:\\\\\left(\dfrac{\sin x}{\cos x}\right)^2\left(\dfrac{1}{\cos x}\right)^2+2\left(\dfrac{1}{\cos x}\right)^2-\left(\dfrac{\sin x}{\cos x}\right)^2=2\\\\\left(\dfrac{\sin^2x}{\cos^2x}\right)\left(\dfrac{1}{\cos^2x}\right)+\dfrac{2}{\cos^2x}-\dfrac{\sin^2x}{\cos^2x}=2$

$\dfrac{\sin^2x}{(\cos^2x)^2}+\dfrac{2-\sin^2x}{\cos^2x}=2\\\\\text{Use}\ \sin^2x+\cos^2x=1\to\sin^2x=1-\cos^2x\\\\\dfrac{1-\cos^2x}{(\cos^2x)^2}+\dfrac{2-(1-\cos^2x)}{\cos^2x}=2\\\\\dfrac{1-\cos^2x}{(\cos^2x)^2}+\dfrac{2-1+\cos^2x}{\cos^2x}=2\\\\\dfrac{1-\cos^2x}{(\cos^2x)^2}+\dfrac{1+\cos^2x}{\cos^2x}=2$

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4 0

3 years ago

What is the digit in the ten billions place in this number 30,242,386,651

Minchanka [31]

It’s 1 that’s in the ten billions

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3 years ago