Answer:
1.
m= 
b= 2
2.
m= 
b= 1
3.
m= 3
b=4
Step-by-step explanation:
1. The line intersects the y-axis at the point (0,2) therefore its y-intercept is b=2.
The line rises up 1 unit on the y-axis for every 4 units on the x-axis therefore the line has a slope of m=1/4.
Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that
2. The line intersects the y-axis at the point (0,1) therefore its y-intercept is b=1.
The line down up 1 unit on the y-axis for every 3 units on the x-axis therefore the line has a slope of m= -1/3.
Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that
3. The line intersects the y-axis at the point (0,4) therefore its y-intercept is b=4.
The line rises up 3 units on the y-axis for every 1 unit on the x-axis therefore the line has a slope of m=3.
Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that
The two triangles are similar by SSA similarity. Option B is correct.
<h3>What is the triangle?</h3>
A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
If the ratio of the sides are same as well as the one angle is common between the two triangles then in that condition there will be SSA similarity.
From the triangle ABC and DEC
The ratio of the sides is;
One angle c is common in the two triangles.
The two triangles are similar by SSA similarity.
Hence, option B is correct.
To learn more about the triangle, refer to:
brainly.com/question/2773823
#SPJ1
Answer:
Step-by-step explanation: 11x-6y=13
To check if this point lies on the line, plug in a 2 for x and a y for 1 and solve
x+2y=5
2+2(1)=5
4=5
Since this statement isn't true, then the point doesn't lie on the line
Hope this helps
Answer:
$12.43
Step-by-step explanation:
Given :
Mean = $8.52
Standard deviation, = $2.38
Stock price which falls beyond 0.05 of the distribution is at the 95th percentile
The 95th percentile distribution has a Pvalue of 1.645 (standard normal table)
We obtain the value of x, with z = 1.645
Using the Zscore relation :
Zscore = (score - mean) / standard deviation
1.645 = (score - 8.52) / 2.38
Cross multiply :
1.645 * 2.38 = score - 8.52
3.9151 = score - 8.52
Score = 8.52 + 3.9151
Score = $12.4351
Stock price beyond 0.05 is $12.43
