Answer:
Step-by-step explanation:
First let's multiply the 1st equation by 10.
So, we can see that the equations have the same coefficients and that implies they are equal.
So the equation has no solutions for. 
Answer:
Step 1. Perimeter P means adding up all three sides of a triangle.
Step 2. Then P=s+s+s=3s where s is the length of the side of the equilateral triangle.
Step 3. ANSWER: Perimeter P=3s.
I hope the above steps and explanation were helpful.
Step-by-step explanation:
HOPE THIS HELPS
Answer:
q = 26
Step-by-step explanation:
Given the point (3, q ) lies on the line then the coordinates satisfy the equation.
Substitute x = 3, y = q into the equation
q = 8(3) + 2 = 24 + 2 = 26
Answer:
12.1 cm
Step-by-step explanation:
Using the law of sines, we can find angle C. Then from the sum of angles, we can find angle B. The law of sines again will tell us the length AC.
sin(C)/c = sin(A)/a
C = arcsin((c/a)sin(A)) = arcsin(8.2/13.5·sin(81°)) ≈ 36.86°
Then angle B is ...
B = 180° -A -C = 180° -81° -36.86° = 62.14°
and side b is ...
b/sin(B) = a/sin(A)
b = a·sin(B)/sin(A) = 13.5·sin(62.14°)/sin(81°) ≈ 12.0835
The length of AC is about 12.1 cm.
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<em>Comment on the solution</em>
The problem can also be solved using the law of cosines. The equation is ...
13.5² = 8.2² +b² -2·8.2·b·cos(81°)
This is a quadratic in b. Its solution can be found using the quadratic formula or by completing the square.
b = 8.2·cos(81°) +√(13.5² -8.2² +(8.2·cos(81°))²)
b = 8.2·cos(81°) +√(13.5² -(8.2·sin(81°))²) . . . . . simplified a bit
Given that f(x) = ax – 5 and f(4) = 15, then the value of a is 5
The given function is:
f(x) = ax - 5
If f(4) = 15, then x = 4
Substitute x = 4 into f(x) = ax - 5
f(4) = a(4) - 5
15 = 4a - 5
Solve for a by adding 5 to both sides
15 + 5 = 4a - 5 + 5
20 = 4a
Divide both sides by 4
4a/4 = 20/4
a = 5
Given that f(x) = ax – 5 and f(4) = 15, then the value of a is 5
Learn more on linear functions here: brainly.com/question/15602982
