Answer:
We are given that:
Now we are asked to show that:
We know that:
Hence using equation (1) we get:
Also we know that:
and
so using above two formula in equation (2) we get:
( since we know that:
)
Hence we have proved that:
Answer:
y=-5/3x-2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-7-3)/(3-(-3))
m=-10/(3+3)
m=-10/6
m=-5/3
y-y1=m(x-x1)
y-3=-5/3(x-(-3))
y-3=-5/3(x+3)
y=-5/3x-15/3+3
y=-5/3x-5+3
y=-5/3x-2
Answer:
Part 1)
Part 2)
Part 3)
Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
In the right triangle ABC
we know that
The triangle ABC is a
so
Is an isosceles right triangle
The legs are equal
therefore
AC=AB
step 2
Find the length side BC
Applying the Pythagorean Theorem]
step 3
Find the value of y
In the right triangle BCD
----> by SOH (opposite side divided by the hypotenuse)
Remember that
so
step 4
Find the value of z
In the right triangle BCD
----> by CAH (adjacent side divided by the hypotenuse)
Remember that
so
Answer:
5
Step-by-step explanation:
First find the number that have their own cell phone
1/4 * 40 = 10
There are 10 students with their own cell phone
1/2 of the 10 can use social media
1/2 * 10 =5
5 have their own cell phone and can use social media
Answer:
There are no solutions.
Step-by-step explanation:
−2(4x−2)<−8x+4
Step 1: Simplify both sides of the inequality.
−8x+4<−8x+4
Step 2: Add 8x to both sides.
−8x+4+8x<−8x+4+8x
4<4
Step 3: Subtract 4 from both sides.
4−4<4−4
0<0