So to help with the first one
2 / x = 5
multiply the x on both sides
2 = 5x
divide by 5 to isolate the x
2/5 = x
For the second one
We will use the diamond to help us find the common factor
\ 1 /
\ /
\ /
2 / \ 4
/ 3 \
/ \
1) the product
2) and 4) the two numbers
and 3) is sum
10 is the product and -7 is the sum
so what two numbers (factors of 10)
will equal -7 when added
so we have these numbers that will equal the product of +10 and we will need to find the ones that will equal -7 as the sum
10*1, 2*5, -1*-10, -2*-5
if we add the two numbers we will find respectively
11, 7, -11, -7
As you can see that -2 + -5 = +10 and -2+-5= +10
So we have found the two numbers
now before we factor the expression looks like
( x + a) (x + b)
and when factored looks like
x^2 + (a+b)x + (a*b)
Now we can plug in the numbers and solve to see if -2 and -5 are right
(x + -2) (x + -5)
we will factor it
x^2 +-5x + -2x + 10
x^2 + -7x + 10
so a = -2 and b = -5
Hope this helps :)
Answer:
14.4km
Step-by-step explanation:
<h2>Speed = distance / time </h2>
- speed = 4.8 km/h
- time = 3 hrs
- distance = ?
Distance = speed * time
Distance = 4.8 * 3 = 14.4km
Answer:
B. rotation 90° counterclockwise about the origin.
Step-by-step explanation:
Transformation is the process by which the size or orientation of a given figure is altered without any effect on its shape. Examples are; rotation, reflection, translation and dilation.
Rotation is the process of turning a figure about a reference point called the origin. While reflection is turning a figure about a line to produce its image.
In the given question, ∆ABC is mapped onto ∆A'B'C' by rotating it at 90° counterclockwise about the origin.
The answer is x = 6
To solve this you would use the pythagorean theorem which is a^2 + b^2 = c^2
In this problem a = x b = 8 and c = 10
You would then square these numbers
x^2 + 64 = 100
Next, you would subtract 64 from both sides.
x^2 = 36
All that’s left is the find the square root, which is x = 6.
So, therefore, you’re answer is x = 6
N+3=7. To find n, you need to have it by itself, so you can do that by subtracting 3 on both sides, so it would look like: n+3-3=7-3. Then you have n=4.
