the length of side AB is twice the length of side AC. Write an expression for the perimeter of the triangle
Answers
- Answer:
P = 3AC + BC
- Step-by-step explanation:
AB = 2AC
P = AB + AC + BC
replace AB
P = 2AC + AC + BC
P = 3AC + BC
Related Questions
3(2y-4) - 2 ) = 0.4 (1+y)
15 DIVIDED 6 2/3A. 2 3/4 B.100 C.100 1/4 D.2 1/4 HELP!!!!!!
Identify the solution set of the inequality using the given replacement set x < –2; {–5, –2.6, –2, –0.8, 1, 1.5}. A. {–5, –2.6} B. {–5, –2.6, –2} C. { –2, –0.8, 1, 1.5} D. {–0.8, 1, 1.5}
The lcd for fractions 1/3 3/4 and 8/9 is
Answers
I'm assuming you need to find the solution to this system of equations (where the lines intersect).
We can use the substitution method to solve this system. Take the value of from the second equation and substitute it into the first:
Add to both sides of the new equation:
Now add to both sides of the equation:
Divide both sides by :
Now let's solve for by substituting the known value of
into the first equation:
Simplify using subtraction:
This means our solution is:
Answer:
x = 3, y = 1
Step-by-step explanation:
Solve the following system:
{y = x - 2 | (equation 1)
y = 7 - 2 x | (equation 2)
Express the system in standard form:
{-x + y = -2 | (equation 1)
2 x + y = 7 | (equation 2)
Swap equation 1 with equation 2:
{2 x + y = 7 | (equation 1)
-x + y = -2 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{2 x + y = 7 | (equation 1)
0 x+(3 y)/2 = 3/2 | (equation 2)
Multiply equation 2 by 2/3:
{2 x + y = 7 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract equation 2 from equation 1:
{2 x+0 y = 6 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 3 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 3, y = 1
c=5/ab
c=5-ab
c=5+ab
Answers
Answer:
c=5-ab is the correct one.
Step-by-step explanation:
A school band ordered hats for $3 and large T-shirts for $5. They bought 150 items in all for $590. Graph a system of equations to find how many hats and T-shirts the band ordered.
**PLEASE HELP I DONT UNDERSTAND SYSTEM OF EQUATIONS
Answers
The number of hats ordered is; 80 and the number of shirts ordered is; 70.
What is a system of equations?
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given that the Cost of hats = $3
The Cost of shirts = $5
The total cost of all the items = $590.
Total number of items bought = 150 items.
Let us assume that the number of hats ordered be x.
The number of shirts ordered be y
The equation can formed as;
x+y = 150 -------(1)
3x+5y = 590 ---------(2)
Multiply and subtract eq(2) from eq(1),
3x+3y = 450
-(3x+5y = 590)
-2y = - 140
y = 140/2
y = 70.
Thus, the number of shirts ordered is; 70.
Now Substitute y=70 in eq(1),
x+70 = 150
x = 150-70
x = 80.
Thus, the number of hats ordered is; 80.
Learn more about equations here;
#SPJ2
If you do it by substitution, you would solve one equation for either variable (the first equation would be easier to solve for either variable) and plug it into the other equation and solve it. So it would look like: y=150-x 3x+5(150-x)=590
If you did it by elimination, you would line the variables in the equations up and make one variable (We'll use x) the opposite of the same variable in the other equation and add the equations together to make the chosen variable cancel out so you could solve for the other variable. So it would look like: 3x+5y=590
+ -5x- 5y=-150
-----------------
-2x=440
x=-220
After you do that, you would plug that answer into one of the original equations and solve for the other variable. So it would look like: -220+y=150
y=370
If you did it by graphing you would simply graph both equations on the same graph and the point that they intersect at would be your answer.
b.2 3 4 5 6 and 10
c. 2 3 4 6 and 9
d. 2 3 4 5 6 9 and 10
Answers
Answers
Answer:
Step-by-step explanation:
The figures are congruent, so all you need do is pick 1 point from each figure and tell what it does. I'm going to go from Figure J to figure K
I will pick the point (-4,8) on J. It is the furthest point upwards.
Where is that same point on K? It is at (2,4)
So what happened?
You've moved from -4 to 2 on the x value.
You've moved from 8 to 4 on the y value
You moved right (-4 to 2) = 6 units and
down (8 - 4) = 4 units
What would happen if you went from K to J
This time you have moved 6 units left and 4 units up.
Answer:
a translation left 6 units and up 4 units
The speed of the stream is one mile per hour.
Find David's speed in still water.
David's speed in still water is ? miles per hour?
Answers
v - David`s speed in still water
( v - 1 ) t 1 = 3
( v + 1 ) t 2 = 3
t 1 + t 2 = 4
---------------------------
t 2 = 4 - t 1
3 = ( v - 1 ) * t 1
3 = ( v + 1 ) * ( 4 - t 1 )
-----------------------------
3 = v t 1 - t 1
+
3 = 4 v - v t 1 + 4 - t 1
------------------------------
6 = 4 v + 4 - 2 t 1
2 = 4 v - 2 t 1
2 t 1 = 4 v - 2 / : 2 ( divide both sides of equation by 2)
t 1 = 2 v - 1
t 2 = 5 - 2 v
------------------
3 = ( v - 1 ) * ( 2 v - 1 )
3 = 2 v² - 3 v + 1
2 v² - 3 v - 2 = 0
v 1/2 = 3+/- √(9 + 16 ) / 4 = (3 + 5)/4 = 8/4 = 2 ( other solution is negative )
Answer: David`s speed in still water is 2 miles per hour.