Answer:
Step-by-step explanation:
Each parrot gets 2 grapes in one day
In total: Lena gives her parrots(ALL FIVE OF THEM) 10 grapes all together
Answer:
P = 17
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
P = x + y
x = 11
y = 6
<u>Step 2: Evaluate</u>
- Substitute: P = 11 + 6
- Add: P = 17
And we have our final answer!
Answer:
The equation of the line that is parallel to given line and passes through the point (-8, -3) is: 
Step-by-step explanation:
Given equation of line is:
The general form of equation of line in slope-intercept form is written as:
Here m(co-efficient of x) is the slope of the line and b is the y-intercept.
Comparing the given equation with the general form we get
m = 5
Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.
Let m1 be the slope of required line parallel to y=5x-3
Then m1=5
Putting in general form
To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.
The point is (-8,-3)
Putting the value of b and m1, we get
Hence,
The equation of the line that is parallel to given line and passes through the point (-8, -3) is:
Step-by-step explanation:
y is easy.
it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.
so, Pythagoras :
y² = 8² + 6² = 64 + 36 = 100
y = 10
x is a bit more complex.
I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.
so, if we call the segments of the Hypotenuse a and b with a = 6, we have
x = a + b = 6 + b
height (8) = sqrt(a×b) = sqrt(6b)
therefore,
6b = height² = 8² = 64
b = 64/6 = 32/3 = 10 2/3 = 10.66666666...
so,
x = 6 + 10.66666... = 16.666666666...
round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67
