Answer:
b. 3x-1 is a factor of 24x^2+7x-5.
Answer:
1/2
Step-by-step explanation:
y = mx + b is slope intercept form.
b = y intercept. where the line first passes through on the y axis
that number is 3.
y = mx + 3.
to find M (slope) you have to do RISE / RUN.
Run is going left or right from a point
Rise is going up or down from a point.
To make sure you find the slope, when you Rise and Run, it has to hit another point on the graph.
From the y - intercept 3, RISE (go up) 1 and RUN (go left) 2.
So, the slope is 1/2.
The solution is:
x = 5
y = 8
Step-by-step explanation:
Given equations are:
Putting y = 3x-7 in equation 2
Dividing both sides by 10
Putting x=5 in eqn 1
Hence,
x = 5
y = 8
Keywords: Linear equation, substitution method
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Answer:
For Triangle 1
a. Hypothenus = 4
b. Adjacent = 2√3
For Triangle 2:
a. Hypothenus = 2√2
b. Adjacent = 2
Step-by-step explanation:
For Triangle 1
NOTE: We shall be using angle 30°.
a. Determination of the Hypothenus.
Opposite = 2
Angle (θ) = 30°
Hypothenus =?
Sine θ = Opposite /Hypothenus
Sine 30 = 2 / Hypo
0.5 = 2 / Hypo
Cross multiply
0.5 × Hypo = 2
Divide both side by 0.5
Hypo = 2 / 0.5
Hypothenus = 4
b. Determination of the Adjacent
NOTE: We shall be using angle 30°.
Opposite = 2
Angle (θ) = 30°
Adjacent =?
Tan θ = Opposite / Adjacent
Tan 30 = 2 / Adj
1 / √3 = 2 / Adj
Cross multiply
1 × Adj = 2 × √3
Adjacent = 2√3
For Triangle 2:
a. Determination of the Hypothenus.
Opposite = 2
Angle (θ) = 45°
Hypothenus =?
Sine θ = Opposite /Hypothenus
Sine 45 = 2 / Hypo
1 / √2 = 2 / Hypo
Cross multiply
1 × Hypo = 2 × √2
Hypothenus = 2√2
b. Determination of the Adjacent
Opposite = 2
Angle (θ) = 45°
Adjacent =?
Tan θ = Opposite / Adjacent
Tan 45 = 2 / Adj
1 = 2 / Adj
Cross multiply
1 × Adj = 2
Adjacent = 2
