The correct answer is C. Aimee used the Associative and Commutative properties to put numbers that are easy to add next to each other.
Answer:
4y=9x
Step-by-step explanation:
Answer:
x = 12
Step-by-step explanation:
Step 1: Define
f(x) = 2x - 7
f(x) = 17
Step 2: Substitute
17 = 2x - 7
Step 3: Solve for <em>x</em>
<u>Add 7 on both sides:</u> 24 = 2x
<u>Divide both sides by 2:</u> 12 = x
Step 4: Check
f(12) = 2(12) - 7
f(12) = 24 - 7
f(12) = 17
Answer:
sinA = h/c; sinC = h/a
Step-by-step explanation:
Which pair of equations below is a result of constructing the altitude, h, in Triangle ABC?
sinA= h/c
sinC= h/a
sinA= h/c
sinB= b/c
sinA= b/c
sinC= b/a
Solution:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.
In right angle triangle, one angle is 90°. From Pythagoras theorem, the square of the longest side (hypotenuse) is equal to the sum of the square of the two sides.
In right triangle, trigonometric identities are used to show the relationship between the sides of a triangle and the angles.
sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite / adjacent
Therefore in triangle ABC:
sinA = h/c; sinC = h/a
Answer:
y = 3/4x + 19
Explanation:
First we need to write the equation in the form y=mx+c:
3x-4y=6
-4y=-3x+6
y=3/4x-3/2
Because the lines are parallel, we can deduce that the gradients (m) are equal. That means that the gradient of our new equation will also be 3/4.
We will now use the following equation:
y - y1 = m(x - x1)
We will substitute in the new line’s gradient as well as the coordinates we were given:
y - 10 = 3/4(x + 12)
Now we solve this equation into the form y=mx+c:
y - 10 = 3/4x + 9
y = 3/4x + 19