Answer:
(-15, 0) --> x intercept
(0, 15) --> y intercept
Step-by-step explanation:
First, you need to find the equation of the line:
gradient equals 1 --> (6 - 11)/(-9 - (-4))
y = x + c
sub point (-9, 6)
6 = -9 + c
c = 6 + 9
c = 15
Equation of line: y = x + 15
x-intercept is when y = 0
0 = x + 15
x = -15 (that's the x-intercept)
(-15, 0)
y-intercept is when x = 0
y = 0 + 15
y = 15 (this is the y-intercept). The y-intercept is also the contant 'c'
(0, 15)
Answer:
The answer to your question is: I(dB) = 320
Step-by-step explanation:
Data
I(dB) = 10log(
)
I = intensity of a given sound
Io = hearing intensity
if I = 10³²(Io) find I(dB)
Process
Substitute the value of I in the equation given and simplify using logarithms rules.
l(dB) = 
Eliminate Io
I(dB) = 10 log (10³²)
Use the rule of powers in logarithms
I(dB) = 10(32)log(10)
l(dB) = 320(1)
I(dB) = 320
13.9%.
7.2 x 10^9 = 7,200,000,000.
Since 1 billion = 1,000,000,000 out of these 7,200,000,000 do not have access to clean water, we find the percent by taking:
1,000,000,000/7,200,000,000 = 10/72 = 13.9%
The quotient of 34/15=2.3
Answer:
m∠QPR = 20°
Step-by-step explanation:
If we make a sketch of the triangle, it will be observed, that line R bisects angle P.
Considering Triangle, ΔQPS;
∠QPS=107∘
Considering triangle, QPR;
∠QPR=9x-115∘
Considering triangle, RPS;
∠RPS=4x+27∘
Thus, ∠RPS + ∠QPR = ∠QPS
4x+27° + 9x-115° = 107°
13x - 88° = 107∘
13 x = 107∘ + 88∘
13x = 195°
x = 195°/13
x = 15°
m∠QPR = 9x - 115°
= (9 x 15) - 115°
= 135° - 115°
= 20°
Therefore, m∠QPR = 20°
