<span>{2y = x + 10
{3y = 3x + 15 |:3
</span>{2y = x + 10
{y = x + 5
{2(x+5) = x + 10
{y = x + 5
{2x+10 = x + 10
{y = x + 5
{2x - x = 10 - 10
{y = x + 5
{x = 0
{y = x + 5
{x = 0
{y = 5
The required equation is y=8×(
Step-by-step explanation:
Given,
The two points are (1,2) and (0.5,4)
To find the exponential equation of these given points.
Formula
The general form of exponential equation is y = 
where, A and B are any real number.
Now, the points satisfy the equation.
So,
2 = 
------- (1) and
4 = 
------ (2)
Now (1) ÷ (2) we get,
= 
or, 
= 
or, b = 
[ by squaring we get]
Now, from (1) we get,
2 = a×
or, a = 8
Hence,
The equation is y=8×(
Answer:
i think the answer is 60
Step-by-step explanation:
Answer:
b) Julie can use properties of congruent triangles to show that AB≅BC and BC≅CD. Then she can show BC≅AD because opposite sides of a parallelogram are congruent
Step-by-step explanation:
On the assumption that Julie must show all four sides to be congruent, the one remaining step after using the properties of congruent triangles is to show that side AD is congruent to the rest of the sides. Answer choice B describes that.
___
IMO, Julie is finished after she shows∠A≅∠B and AB≅BC, because a parallelogram will be a square if adjacent sides are congruent (makes it a rhombus) and adjacent angles are congruent (makes it a rectangle). A rhombus that is a rectangle is a square.
Answer:
10π
Step-by-step explanation:
RULE: The angle measure of the central angle is congruent to the measure of the intercepted arc.
RULE: Central Angle = Arc length
Given:
Arc length (20 π) = central angle (180)
we know 180 degrees is a straight line, thus a semi-circle is created. This would be the diameter.
1/2 diameter is the radius. 20π/2 is the radius.
10π
