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4 years ago

Help!!! 10pts!!

1 answer:

6 0

It's a bit of a bummer to have to work through all of these to find the answer. That a lot of slope calculations (or graphing, or whatever). When there are this many, a spreadsheet or other machine help can make it easier.

The correct choice is the last one, XYZ, with vertex X being where the right angle is located.

_____
Slope of XY is 4/7; slope of XZ is -7/4. The product of these is -1, so those segments are at right angles.

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You have recorded your car mileage and gasoline use for 5 weeks. Estimate the number of miles you can drive on a full 15-gallon

I am Lyosha [343]

Answer:

325 miles to the nearest mile.

Step-by-step explanation:

Average gasoline consumption over the 5 weeks

= miles travelled / gasoline used

= (198 + 115 + 154 + 160 + 132) / (9 + 5 + 7 + 8 + 6)

= 21.69 miles per gallon.

Estimate of number of miles you can drive on 15 gallons

= 15 * 21.69

= 325 miles.

4 0

4 years ago

Please solve: x^2+4x-8=0

Bezzdna [24]

$x^2+4x-8=0\\\\\underbrace{x^2+2x\times2+2^2}_{use:(a+b)^2=a^2+2ab+b^2}-2^2-8=0\\\\(x+2)^2-4-8=0\\\\(x+2)^2-12=0\\\\(x+2)^2=12\iff x+2=\sqrt{12}\ or\ x+2=-\sqrt{12}\\\\x=\sqrt{4\times3}-2\ or\ x=-\sqrt{4\times3}-2\\\\x=\sqrt4\times\sqrt3-2\ or\ x=-\sqrt4\times\sqrt3-2\\\\\center\boxed{x=2\sqrt3-2\ or\ x=-2\sqrt3-2}$

4 0

3 years ago

Read 2 more answers

Solve the following equations for x,

stellarik [79]

(i) 3 csc²(x) - 4 = 0

3 csc²(x) = 4

csc²(x) = 4/3

sin²(x) = 3/4

sin(x) = ± √3/2

x = arcsin(√3/2) + 2nπ or x = arcsin(-√3/2) + 2nπ

x = π/3 + 2nπ or x = -π/3 + 2nπ

where n is any integer. The general result follows from the fact that sin(x) is 2π-periodic.

In the interval 0 ≤ x ≤ 2π, the first family of solutions gives x = π/3 and x = 4π/3 for n = 0 and n = 1, respectively; the second family gives x = 2π/3 and x = 5π/3 for n = 1 and n = 2.

(ii) 4 cos²(x) + 2 cos(x) - 2 = 0

2 cos²(x) + cos(x) - 1 = 0

(2 cos(x) - 1) (cos(x) + 1) = 0

2 cos(x) - 1 = 0 or cos(x) + 1 = 0

2 cos(x) = 1 or cos(x) = -1

cos(x) = 1/2 or cos(x) = -1

[x = arccos(1/2) + 2nπ or x = 2π - arccos(1/2) + 2nπ] or x = arccos(-1) + 2nπ

[x = π/3 + 2nπ or x = 5π/3 + 2nπ] or x = π + 2nπ

For 0 ≤ x ≤ 2π, the solutions are x = π/3, x = 5π/3, and x = π.

7 0

3 years ago

Please help and explain A B C D

avanturin [10]

A) Amount of money earned by seji = s
Amount of money earned by Gavin = g
So, equation would be: s+g = 425

B) Solving the system: s+g = 425
we know, g = s+25
Substitute it into the equation:
s+s+25 = 425
2s = 400
s = 200
so, g = 200+25 = 225

C) Graph for the equation, Mark (s,g) = (200,225) then, draw the line from the origin.

D) Seiji earned = $200
Gavin earned = $225 [ Solved in B part ]

Hope this helps!

4 0

3 years ago

Read 2 more answers

I accidentally click an answer but what would the answer be? I’m on a time limit!! Need help ASAP thank u!

wariber [46]

Hey!

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Solution:

= 7√3 + 2√9

= 7√3 + 6

= 18.124... (Non-Terminating or Irrational)

When we add a rational number and a irrational number it's always irrational.

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Answer:

The answer 7√3 + 6 is irrational because the sum of a rational number and irrational number is an irrational number.

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Hope This Helped! Good Luck!

4 0

3 years ago

Read 2 more answers