Answer:
k(-1) = 7.
Step-by-step explanation:
k(-1) is the value of the function k when x = -1.
You read this off the graph.
Find the value of the point on the graph which corresponds to x = -1. From x = -1 on the horizontal axis move straight up until you meet the graph of k. Now look horizontally to the right and read off the value on the vertical
y-axis
You'll find it is 7.
Answer:
45.
Step-by-step explanation:
To solve this equation, we must use PEMDAS...
The operations listed first must be solved first before we can continue.
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Using this, we find that we must complete the multiplication and division before we add or subtract.
20 / 2 - 10 + 3 * 15
= (20 / 2) - 10 + (3 * 15)
= 10 - 10 + 45
= 0 + 45
= 45
Hope this helps!
Answer:
GCF : 5 LCM :75
Step-by-step explanation:
Answer:
The method would use to prove that the two Δs ≅ is AAS ⇒ D
Step-by-step explanation:
Let us revise the cases of congruence:
- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ
- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
- AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ
- HL ⇒ hypotenuse and leg of the 1st right Δ ≅ hypotenuse and leg of the 2nd right Δ
In the given figure
∵ The two triangles have an angle of measure 30°
∵ The two triangles have an angle of measure 70°
∵ The two triangles have a side of length 10
∴ The two triangles have two equal angles and one equal side
→ By using rule 4 above
∴ The two triangles are congruent by the AAS rule
∴ The method would use to prove that the two Δs ≅ is AAS
Answer:
The vertex Q' is at (4,5)
Step-by-step explanation:
Given:
Quadrilateral PQRS undergoes a transformation to form a quadrilateral P'Q'R'S' such that the vertex point P(-5,-3) is transformed to P'(5,3).
Vertex point Q(-4,-5)
To find vertex Q'.
Solution:
Form the given transformation occuring the statement in standard form can be given as:
The above transformation signifies the point reflection in the origin.
For the point P, the statement is:
So, for point Q, the transformation would be:
Since two negatives multiply to give a positive, so, we have:
