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2 years ago

PLZ HELP ASAP

Mathematics

2 answers:

gladu [14]2 years ago

3 0

Answer:

180.

Step-by-step explanation:

Given

x = 1%2F2y

x+y=180

...

Substitute x into the second equation and solve for y, the larger angle

1%2F2y + y = 180

Multiply both sides by 2 to be rid of the fraction

y + 2y = 360

3y = 360

highlight_green%28y=120%29

...

Check cartoon%28%0D%0A120+%2B+%281%2F2%29%28120%29%2C%0D%0A120+%2B+60%2C%0D%0A180%29

zhannawk [14.2K]2 years ago

3 0

Answer:

One angle is 50 and the other 40

The sum of both angles is 90

Step-by-step explanation:

the second angle which is 40, is 80% of the first angle which is 50

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She would have 6 or 7 lessons 130 divided by 20 = 6.5

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3 years ago

Choose the proper tools with the correct endpoints then click and drag the endpoints to the correct location.

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X < = 1 or x > 8

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An athlete goes on a diet. He loses 3 pounds each month for 8 months. He lost a total of 24 pounds. If he wants to lose 30 pound

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2 years ago

Type the correct answer in each box. Use numerals instead of words.

lubasha [3.4K]

Answer:

System A has 4 real solutions.

System B has 0 real solutions.

System C has 2 real solutions

Step-by-step explanation:

System A:

x^2 + y^2 = 17 eq(1)

y = -1/2x eq(2)

Putting value of y in eq(1)

x^2 +(-1/2x)^2 = 17

x^2 + 1/4x^2 = 17

5x^2/4 -17 =0

Using quadratic formula:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

a = 5/4, b =0 and c = -17

$x=\frac{-(0)\pm\sqrt{(0)^2-4(5/4)(-17)}}{2(5/4)}\\x=\frac{0\pm\sqrt{85}}{5/2}\\x=\frac{\pm\sqrt{85}}{5/2}\\x=\frac{\pm2\sqrt{85}}{5}$

Finding value of y:

y = -1/2x

$y=-1/2(\frac{\pm2\sqrt{85}}{5})$

$y=\frac{\pm\sqrt{85}}{5}$

System A has 4 real solutions.

System B

y = x^2 -7x + 10 eq(1)

y = -6x + 5 eq(2)

Putting value of y of eq(2) in eq(1)

-6x + 5 = x^2 -7x + 10

=> x^2 -7x +6x +10 -5 = 0

x^2 -x +5 = 0

Using quadratic formula:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

a= 1, b =-1 and c =5

$x=\frac{-(-1)\pm\sqrt{(-1)^2-4(1)(5)}}{2(1)}\\x=\frac{1\pm\sqrt{1-20}}{2}\\x=\frac{1\pm\sqrt{-19}}{2}\\x=\frac{1\pm\sqrt{19}i}{2}$

Finding value of y:

y = -6x + 5

y = -6(\frac{1\pm\sqrt{19}i}{2})+5

Since terms containing i are complex numbers, so System B has no real solutions.

System B has 0 real solutions.

System C

y = -2x^2 + 9 eq(1)

8x - y = -17 eq(2)

Putting value of y in eq(2)

8x - (-2x^2+9) = -17

8x +2x^2-9 +17 = 0

2x^2 + 8x + 8 = 0

2x^2 +4x + 4x + 8 = 0

2x (x+2) +4 (x+2) = 0

(x+2)(2x+4) =0

x+2 = 0 and 2x + 4 =0

x = -2 and 2x = -4

x =-2 and x = -2

So, x = -2

Now, finding value of y:

8x - y = -17

8(-2) - y = -17

-16 -y = -17

-y = -17 + 16

-y = -1

y = 1

So, x= -2 and y = 1

System C has 2 real solutions

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3 years ago

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The total number of miles Jeremy walked on a hike can be represented by using the formula. If and n represents the total number

KatRina [158]

Answer:

A) 2 miles, 5 miles, 8 miles

Step-by-step explanation:

Let's get some details cleared.

We're interested in finding how many miles he walked at the end of each hour in a period of 3 hours.

We know what is, so we can use that as our starting point.

Your answer is A.

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2 years ago

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