Another oneee thanks strangers
2 answers:
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Answer:
Look below :)
Step-by-step explanation:
1. To find the slope of a line, we can use this expression:
In order to use that expression, we need to use two points. The graph given only provides you with two complete points, so we'll use those.
(4, 4) = (x1, y1) (12, 20) = (x2, y2)
Now we can input the values into the expression:
=
Let's solve for the slope:
20 - 4 = 16
12 - 4 = 8
To simplify 16/8 divide both the numerator and the denominator by 8:
16/8 = 2
8 = 1
You get 2/1 or just 2.
The slope of the line is 2.
2. To make an equation for the line, we'll use slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. We already know the value of the slope is 2, so now we need to find the y-intercept. We can find the y-intercept using a given point and the slope. In this example, I'll use the point (4, 4). Let's input the values into the equation:
y = mx + b
4 = 2(4) + b
Now let's solve for b:
4 = 8 + b
Subtract 8 from both sides to isolate the b:
4 - 8 = 8 - 8 + b
-4 = b
The y-intercept of the equation is -4.
Now that we know the values for the slope and y-intercept, we can write the equation:
y = 2x - 4
3. To find the values of a and b, we can use the equation we made in the previous question.
First we'll find a:
The point we are given is (a, 16). We know the y-value is 16, so we can put that into our equation. We can also replace x with a:
y = 2x - 4
16 = 2a - 4
Now we can solve for a:
First, add 4 to both sides to isolate the 2a:
16 + 4 = 2a - 4 + 4
20 = 2a
Then divide both sides by 2 to isolate a:
20/2 = 2a/2
10 = a
The value of a is 10.
Now let's find b:
This is similar to finding a. The point we are given is (8, b). We know the value of x is 8, and we can replace y with b in the equation:
y = 2x - 4
b = 2(8) - 4
Let's solve:
b = 2(8) - 4
b = 16 - 4
b = 12
The value of b is 12.
4. Finally, to find the y- coordinate when x=0, all we have to do is input 0 in for x in the equation and then solve for y:
y = 2x - 4
y = 2(0) - 4
y = 0 - 4
y = -4
When x = 0, y = -4.
The answer for what the y-coordinate is when x = 0 will always be the value of the y-intercept.
I hope this helps!
Answer:
Side AC is congruent to side DF
Step-by-step explanation:
We are given that
Side AB=5 cm
BC=6 cm
Side DE=5 cm
Side EF= 6cm
We have to find an additional information would need to prove that by SSS.
When two triangles are congruent by SSS it means three sides of one triangle are congruent to corresponding sides of other triangle.
We have in triangle ABC and triangle DEF
Then ,DEF
Reason: SSS postulates
Answer: Side AC is congruent to side DF