Answer:
y= 2.5
x= 3
Step-by-step explanation:
multiply eqn 2 by 5
5x +20y =65
eqn 2 -1
20-2)y=65-20
18y=45
y=2.5
x+4×2.5 =13
x+10=13
x=3
Trick question. 50+0 because their is no tens place.
Answer:
6.55 cm
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, acute, scalene, obtuse, right and equilateral triangle.
Cosine rule is used to show the relationship between sides and angles of a triangle. If a, b, and c are sides of a triangle, while A, B, and C are angles opposite to the corresponding sides. Then:
c² = a² + b² - 2ab*cos(C)
Given that PR = 13 cm, PQ = 12 cm and angle QPR = 30°, hence:
QR² = PR² + PQ² - 2(PR)(PQ)cos(∠QPR)
QR² = 13² + 12² - 2(13)(12)cos(30) = 169 + 144 - 270
QR² = 43
QR = 6.55 cm
Given:
The two points on the graph.
To find:
The distance between the two points in simplest radical form.
Solution:
From the given graph, it is clear that the two points on the graph are (-9,3) and (-3,-2).
Distance formula:
Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:
On further simplification, we get
Therefore, the distance between the given points is 
units.
Answer:
-12w^3 + 30w.
Step-by-step explanation:
–6w(2w^2 - 5) Using the distributive law:
= -6w* 2w^2 - 6w*-5
= -12w^3 + 30w.
