Answer:
type 2 in the first box,
13/4 in the second box, and
-9/8 in the third one
Step-by-step explanation:Notice that you are asked to write the following quadratic expression in vertex form, so you need to find the "x" value of the vertex, and then the "y" value of the vertex:
Which in our case is: -13/4
and the value of the y for the vertex is obtained using the functional expression when x equals -13/4:
Then your expression for this quadratic should be:
Then type 2 in the first box, 13/4 in the second box, and -9/8 in the third one
3x + 4y = 16
-4x - 3y = -19
4( 3x + 4y = 16)
3( -4x - 3y = -19)
Distribute
12x + 16y = 64
-12x - 9y = -57
Now subtract both equations
7y = 7
/7 on both sides
y = 1
Substitute y = 1 in one of the equations.
3x + 4y = 16
3x + 4(1) = 16
-4 on both sides
3x = 12
/3 on both sides
x = 4
Answer:
x = 4
y = 1
Answer:
54%
Step-by-step explanation:
total students are 50
20+7 scored at least 81 = 27
27/50=54%
Answer:
Take an example in a triangle:
The orthocenter is the intersection point of 3 altitudes.
The centroid is the intersection point of 3 medians.
The circumcenter is the intersection point of 3 bisectors.
Centroid, orthocenter, and circumcenter are collinear.
Hope this helps!
:)
Answer:
Either 
or 
.
Step-by-step explanation:
.
Hence, there are two possibilities to consider:
- Either
, - Or
.
If 
, then 
.
Substitute into the original equation: 
. Solve for 
: .
Important: verify that the solution meet the assumption . Indeed, 
and is indeed non-negative. Hence, the solution 
is valid.
On the other hand, if , then 
.
Substitute into the original equation: 
. Solve for : .
Similarly, verify that the solution 
satisfies the current assumption that . Indeed, this assumption is met, and is also a valid solution.
