Answer:
The constant m=-4, and b=33
Step-by-step explanation:
F(x)= MX+b
If f(6)=9 then x=6, m= -4
9= -4(6) + b
9= -24 + b
b= 9 + 24
b= 33
Therefore the constant m, which is the slope is -4 and b which is the intercept is 33
In proving that C is the midpoint of AB, we see truly that C has Symmetric property.
<h3>What is the proof about?</h3>
Note that:
AB = 12
AC = 6.
BC = AB - AC
= 12 - 6
=6
So, AC, BC= 6
Since C is in the middle, one can say that C is the midpoint of AB.
Note that the use of segment addition property shows: AC + CB = AB = 12
Since it has Symmetric property, AC = 6 and Subtraction property shows that CB = 6
Therefore, AC = CB and thus In proving that C is the midpoint of AB, we see truly that C has Symmetric property.
See full question below
Given: AB = 12 AC = 6 Prove: C is the midpoint of AB. A line has points A, C, B. Proof: We are given that AB = 12 and AC = 6. Applying the segment addition property, we get AC + CB = AB. Applying the substitution property, we get 6 + CB = 12. The subtraction property can be used to find CB = 6. The symmetric property shows that 6 = AC. Since CB = 6 and 6 = AC, AC = CB by the property. So, AC ≅ CB by the definition of congruent segments. Finally, C is the midpoint of AB because it divides AB into two congruent segments. Answer choices: Congruence Symmetric Reflexive Transitive
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If those two are your only choices then the answer is
none of the above.
<em>Attached is a cumulative frequency table for your data.</em> If you take a look at the two tables given, the frequencies were not tallied properly. If the frequency column is wrong, then the cumulative frequency will be wrong.
The answer is then none of the above or find one that matches the table attached.
<h3>
<u>Given</u><u> </u><u>:</u></h3>
- Length =
cm. - Breadth =
cm.
<h3>
<u>To</u><u> </u><u>Find</u><u> </u><u>:</u></h3>
The area of rectangle.
<h3>
<u>Solution</u><u> </u><u>:</u></h3>
Area of rectangle = Length × Breadth




<h3>
<u>Area</u><u> </u><u>of</u><u> </u><u>rectangle</u><u> </u><u>is</u><u> </u><u>4</u><u>2</u><u>5</u><u>/</u><u>4</u><u>2</u><u> </u><u>cm</u><u>²</u><u>.</u></h3>
Answer:
1. The slope of the line is
.
2. The value of a is 18.
Step-by-step explanation:
If a line passes through two points, then the slope of the line is

(1)
It is given that the line passes through the points (-a + 3, b - 3) and (a + 3, -b). So, the slope of the line is



The slope of the line is
.
(2)
If the line passing through the points (a, 1) and (6, 5), then the slope of the line is

If the line passing through the points (2, 7) and (a + 2, 1), then the slope of the line is

The slopes of two parallel lines are same.


On cross multiplication we get




Divide both sides by -2.

Therefore the value of a is 18.