Answer:
the graph that goes through the points
(0,3), (-4,0)
Step-by-step explanation:
make y the subject
3x-4y=-12
4y=3x+12
y=(3x+12)/4
now when x=0
y=12/4=3
so coordinates (0,3)
now when y=0
0=(3x+12)/4
by multplying both sides by 4
0=3x+12
0=3 (x+4)
divide both sides by 3
0=x+4
x=-4
so coordinates (-4,0)
Yes it is because 2 sides would be the legs while 1 side is the hyptonuese so in this case 4 is a leg and 14 and 17 is the hyptonuese
Answer:
x=16
Step-by-step explanation:
Because this is an isosceles triangle the angle 2x+3 is the same as the missing angle. The angles in triangles add up to 180 degrees. 180-110=70.
Because the two angles are the same you can divide 70 by 2 to get 35.
35=2x+3.
35-3=2x+3-3
32=2x
32/2=2x/2
16=x
Answer: 0.0793
Step-by-step explanation:
Let the IQ of the educated adults be X then;
Assume X follows a normal distribution with mean 118 and standard deviation of 20.
This is a sampling question with sample size, n =200
To find the probability that the sample mean IQ is greater than 120:
P(X > 120) = 1 - P(X < 120)
Standardize the mean IQ using the sampling formula : Z = (X - μ) / σ/sqrt n
Where; X = sample mean IQ; μ =population mean IQ; σ = population standard deviation and n = sample size
Therefore, P(X>120) = 1 - P(Z < (120 - 118)/20/sqrt 200)
= 1 - P(Z< 1.41)
The P(Z<1.41) can then be obtained from the Z tables and the value is 0.9207
Thus; P(X< 120) = 1 - 0.9207
= 0.0793
Answer:
f(x) + g(x) = x^2 + 4x + 35
Step-by-step explanation:
Add like terms from f(x) and g(x):
f(x) + g(x) = x^2 + 3x + 28 + x + 7, or
f(x) + g(x) = x^2 + 4x + 35
