Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope (and always the factor of x). it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
b is the y-intercept, the y value of the point, where the line crosses the y-axis (in other words : the y value when x = 0).
so, look at the chart. where do we see points with integer coordinates (these are the easiest to read correctly and work with) ?
I see for example (0, -6) and (4, -7).
to go from the first to the second point :
x changes by +4 units (from 0 to 4).
y changes by -1 unit (from -6 to -7).
the slope a is therefore -1/4.
and the first point i picked gives us also automatically the y-intercept (-6).
so, the line equation is
y = (-1/4)x - 6
Hi! if you’re taking a quiz, from what i’ve experienced, the numbers will change every time you retake the question. this helps you to understand HOW to get the answer, rather than just memorising it. from there you just need to work out how to do the maths that’s presented to you. i hope this helps!
Answer: 6/7
Step-by-step explanation: multiply across then simplify
So the first step is to subtract 4.00 from 20.50. Once we do that, we get 16.50. The next step is to divide 16.50 by 2.75, to find out how many miles (after the 1st mile) Sarah's ride was. 16.50/2.75 = 6. So 6 + 1 = 7. The total mileage length to get to the movies was 7 miles.
Answer:
The value of DC is 66.34.
Step-by-step explanation:
The triangles ABC and DCA are right angled triangles.
The straight line AC is a bisector for angles C and A.
The measure of ∠C is 30°.
Then the measure of angles BCA and ACD will be 15° each.
The measure of angle DAB is 150°.
Then the measure of angles DAC and BAC will be 75° each.
Now consider the right angled triangle ABC.
The measure of side AC is:
Consider the right angled triangle DCA.
The angle DAC measure 75°.
Using the trigonometric identities compute the value of Perpendicular DC as follows:
Thus, the value of DC is 66.34.