Step-by-step explanation:
Hi there!
The given equation is:
y = -2x + 5………………(i)
Comparing the equation with y = mx+c, we get;
m1 = -2
Also another equation of the line which passes through point (-4,2), we get;
(y-2) = m2(X+4)............(ii) { using the formula (y-y1) = m2(x-x2)}
According to the question, they are perpendicular to eachother, So according to the condition of perpendicular lines;
m1*m2 = -1
-2*m2 = -1
or, m2 = 1/2.
Therefore, m2= 1/2.
Now, keeping the value of m2 in equation (ii).
(y-2) = 1/2(x+4)
y = (1/2)x + 4
Therefore, the required equation is: y = (1/2)x + 4.
<u>Hope</u><u> it</u><u> helps</u><u>!</u>
Find the common denominator of 3 and 12 which would be 12.
Then we add the 2 fractions together to get 9/12.
Now we know that 9/12 of the guests chose chicken and beef.
We also know that 69 guests is equivalent to 3/12 which can be simplified down to get 1/4.
So now we can do 69x4 to get 4/4 which is also 12/12, the amount of guests .
69x4 is 276
Your final should be 276.
To solve a function like this, simply put the numerical value in place of the unknown variable for which you have to find the solution, for instance '-3' in this case.
g(x) = 2x-2
so to find g(-3), we just need to replace the x in the given expression by '-3'. Working is shown below:
g(x) = 2x-2
putting '-3' in place of x
g(-3) = 2(-3) - 2
g(-3) = -6 -2
g(-3) = -8
Answer:
The vertical distance from the top of the slide go the ground is 24.25 feet
Step-by-step explanation:
Here, we want to calculate the vertical distance from the top of the slide to the ground.
To answer this properly, we shall need the aid of a diagram. Please check the attachment for this;
Mathematically, to calculate this vertical distance, we shall be employing the use of a trigonometric ratio since the shape we are considering is a right-angled triangle
The vertical distance faces the angle given and we can refer to it as the opposite. The length of the slide refers to the hypotenuse
So the trigonometric ratio we are to use will consider the opposite and the hypotenuse
This is the sine
Mathematically sine of an angle = length of the opposite/length of the hypotenuse
let’s call the length of the opposite x
sin 60 = x/28
x = 28 sin 60
x = 24.248 which is 24.25 feet
You have 40/16
simplified by 8 and you have 5:2
so the answer is d. 5:2
