Answer:
26.
Step-by-step explanation:
Given, BD is a median. As it divides the AC equally, that's why it will AD=CD. Given, AD= 6x+10 and CD= 2x+12
Now, AD= CD
or, 6x+10=2x+12
or, 6x-2x= 12-10
or, 4x= 2
or, x= 1/2
So the value of x is 1/2. As BD divided AC equally, both AD and CD will be equal and AD+CD= AC.
So, 6x+10+2x+12= AC
or, 8x+22= AC
or, 8 X (1/2) + 22= AC
or, 4+22 = AC
or, AC= 26.
Answer:
UT
Step-by-step explanation:
The projection of ST on QT is found by locating the points on QT that are nearest the endpoints S and T of the original segment. On QT, U is the point closest to S, and T is the point closest to T. Then the projection is the segment between those identified points: UT.
For this case the main function is:
f (x) = x ^ 2
We are going to apply the following transformations:
Vertical translations
Suppose that k> 0:
To graph y = f (x) + k, move the graph of k units up.
We have then:
f (x) = x ^ 2 + 5
Horizontal translations
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
f (x) = (x + 1) ^ 2 + 5
Answer:
f (x) = (x + 1) ^ 2 + 5
12/4=3
6/3=2
and 2/1=2
Hope this helps!
Answer:
w=3/5 or w=-5
Step-by-step explanation:
5w^2+22w=15
5w^2+22w-15=0 (quadratic equation)
a=5, b=22, c=-15
w1,2 =(-b+-sqrt(b^2-4ac))/2a
w1,2 =(-22+-sqrt(22^2-4*5*(-15))/2*5
w1,2 =(-22+-sqrt(484+300))/10
w1,2=(-22+-sqrt(784))/10
w1,2=(-22+-28)/10
w1=(-22+28)/10, w2=(-22-28)/10
w1=6/10, w2=-50/10
w1=3/5, w2=-5