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2 years ago

X+15° ) + + (x+20°)+(x-10)

Mathematics

1 answer:

il63 [147K]2 years ago

3 0

Answer:

3x+35°-10

Step-by-step explanation:

remove the parentheses so the equation is

x+ 15°+x+20°+(x-10)

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1. Given the equation (x – 3)2 – 32 = 17 a)

m_a_m_a [10]

We know that

The square root property is one method that is used to find the solutions to a quadratic equation. This method involves taking the square roots of both sides of the equation.
(x – 3)² – 32 = 17-------> (x – 3)² = 17+32-----------> (x – 3)² = 49
(x – 3)² = 7²--------> will take the square root of each side
so
√(x – 3)²=(+-)√7²------> notice the use of the sign (+-), this will give us both a positive and a negative root

then

x-3=7--------> x=10
x-3=-7-------> x=-4

the answer Part a) is
x=10
x=-4

Part b) Explain why the given equation has two solutions.

the answer part b) is
Because exist the possibility of two roots for every square root, one positive and one negative

6 0

3 years ago

A standard six-sided die is rolled.

Jobisdone [24]

Answer:

Step-by-step explanation:

There are six sides on the die...

1, 2, 3, 4, 5, 6

Greater than or equal to 3 includes 3, 4, 5, 6

This means 4 out of 6, or 4/6

4/6 simplified is 2/3

Hope this helps!

8 0

2 years ago

Rod is paid $85 to install a screen door and $115 to install a wooden door. In one week he installed 18 doors and was paid a tot

Rainbow [258]

Answer:Rod installed 7 screen doors

Step-by-step explanation:

Step 1

Let the number of screen door = x

And the number of wooden doors = y

since he installed 18 doors , we have that

screen door + wooden doors = 18

x + y = 18------ equation 1

Also the cost to install a screen door -= $85

and to install a wooden door = $115

And he was therefore paid a total of $1850

Therefore

85x + 115 y = $1860------- equation 2

Step 2----- Solving

x + y = 18------ equation 1

85x + 115 y = $1860------- equation 2

Multiplying equation 1 BY 85

85x + 85y= 1530------- equation 3

85x + 115 y = $1860------- equation 4

subtracting from equation 1 from (2)

115y- 85y= 1860-1530

30y=330

y = 330/30 = 11

To find x

x+ y=18

x= 18-y

x= 18-11= 7

Rod installed 7 screen doors and 11 wooden doors.

8 0

3 years ago

There are 3 people who are chosen to serve on a comitee out of a group of 3 girls and 4 boys. How many different committees can

atroni [7]

35 would be your answer.

6 0

2 years ago

Read 2 more answers

What is 69.37 minus 1.93

Jlenok [28]

Answer:

the answer is 67.44 hope it helps smile

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3 years ago