Answer:
(2, - 4 )
Step-by-step explanation:
Given the 2 equations
x + 2y = - 6 → (1)
3x + y = 2 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the term in y
- 6x - 2y = - 4 → (3)
Add (1) and (3) term by term to eliminate y
- 5x = - 10 ( divide both sides by - 5 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
2 + 2y = - 6 ( subtract 2 from both sides )
2y = - 8 ( divide both sides by 2 )
y = - 4
Solution is (2, - 4 )
STEP - BY - STEP EXPLANATION
What to find?
The the value of secθ.
Given:
(4, 3)
⇒(x, y) = (4, 3)
Step 1
Draw a sketch.
Step 2
Substitute the values into the trig. ratio formula below.
From the sketch above, opposite = 3 and adjacent = 4
Step 3
Find the value of the hypotenuse side using Pythagoras theorem.
let h be the hypotenuse side.
Hence, hypotenuse = 5
Step 4
Substitute the values into the formula below:
But,
ANSWER
secθ= 5/4
tanθ=3/4
"<span>a number that is equal to five less than b"
</span>n-a number
n = b - 5
Answer:
12 inches
Step-by-step explanation:
The formula for a trapezoid is
A = 1/2(a +b)h
The formula to find the height =
h = 2A/a + b
A= 216 in²
a =14 in
b = 22 in
Hence,
h = 2 × 216/14 + 22
h = 12 inches
The height of the trapezoid = 12 inches
F=length of first piece=x; S=length of second piece=2x
T=length of third piece=3x
.
F+S+T=24 inches
x+2x+3x=24 inches
6x=24in
F=x=4in
ANSWER 1: The length of the first piece is 4 inches.
.
S=2x=2(4in)=8in
ANSWER 2: The length of the second piece is 8 inches.
.
T=3x=3(4in)=12 inches.
ANSWER 3: The length of the third piece is 12 inches.
.
CHECK:
F+S+T=24in
4in+8in+12in=24in
24in=24in
