What is the measure of angle S?
1 answer:
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Answer:
<em>x=-14</em>
Step-by-step explanation:
The x-intercept of a line is the value of x that makes y=0.
A line can be expressed in its slope-intercept form:
y=mx+b
Once determined the equation of the line, the x-intercept can be calculated by setting y=0 and solving for x.
Let's find the slope of the line.
Suppose we know the line passes through two points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
Let's pick the first two points of the table (-94,24) (-74,18). The slope is:
The equation of the line is:
Now use one of the points to find b, for example (-94,24):
Operating:
Solving:
The complete equation of the line is:
To find the x-incercept, set y=0 and solve:
x=-14
Answer:
Sarah is 13 years old
Step-by-step explanation:
Represent Sarah's age with S
Her first brother's age with F
Her second brother's age with B
So, we have:
From the first statement, we have:
---- (1)
From the second, we have:
---- (2)
The product of their ages is 40.
First, we make F the subject in (1) and B the subject in (2)
Their product is represented as follows:
Substitute values for F and B
Open bracket
Subtract 40 from both sides
Factorize:
Split:
or
But Sarah's age can't be 0 because she has two younger brothers.
So, we stick to
Make S the subject
<em>Hence, Sarah is 13 years old</em>