Answer:
A general line is written as:
y = a*x + b
where:
a is the slope
b is the y-intercept.
a) y-intercept = 2 and slope = 7.
This line is:
y = 7*x + 2
b) y-intercept = -1 and is parallel to y= 5x - 7.
Now, if two linear equations are parallel if they have the same slope and different y-intercept. Then if we want a line parallel to y= 5x - 7, this means that the slope of this line must also be equal to 5.
y = 5*x + (-1)
c) y-intercept 2 and is inclined at 45° to the x- axis.
When we have an inclination of A degrees from the x-axis, the slope of the equation is given by: a = Tan(A)
In this case, we have A = 45°
Then the slope is a = Tan(45°) = 1
Then the equation of this line is:
y = 1*x + 2
First, you need to substitute the value of x in all of the x spots.
2x+3
2(3)+3. Us PEMDAS to solve the problem.
6+3
9
Answer:
1. Use the Adjacent and opposite side (Ignore the Hypotenuse)
Or use HERO'S FORMULA based on the information given
2. Area = 216cm^2
Step-by-step explanation:
There are three to four ways we can go about finding the area of a triangle. And a these would be dependent on the information given about the triangle.
From the question, you said the three side lengths are given. In such case, we employ the HERO FORMULA.
HERO FORMULA:
Area = √ s(s-a)(s-b)(s-c)
where s = 1/2(a + b + c)
a, b, c are the three sides
But since the question insisted that we use 1/2* base * height. Let's use our know of right angle to dissolve that.
A right angle triangle has three sides. The longest is always the Hypotenuse.
Let's take it this way.
Hypotenuse = 30cm
Opposite= 18cm
Adjacent = 24cm
Area = 1/2 * base * height
Area = 1/2 * 18 * 24
Area = 1/2 * 432
Area = 216cm^2
We ignored the longest side, (the Hypotenuse)
Answer:
Step-by-step explanation:
For every 10 assignments you get 1 homework pass. So you would multiply them by two and up more.
So here's some of your answers:
10:1
20:2
30:3
40:4
50:5
60:6
70:7
80:8
90:9
100:10
You would just continue this pattern.
Answer:
$84
Step-by-step explanation:
Find how many miles she traveled by multiplying 80 and 2.
80 × 2 = 160 miles
Next find out how much she gets paid for her mileage by multiply $0.60 and 160.
160 × $0.60 = $96.00
Now find out how much she spent on gas. She gets 40 miles per gallon so solve how many gallons she used by dividing 160 by 40.
160 ÷ 40 = 4 gallons
Then multiply 4 gallons by $3.00
4 × 3 = $12
To find the net rate of pay subtract 96 and 12
$96 - $12 = $84
