<h3>
Answer: Choice 3) Triangle ACB = Triangle CAD</h3>
The reason why is because the order is important when it comes to congruent statements. I'm referring to the order of the letters of ACB and CAD.
Each answer choice has "ACB" in that exact order shown on the left hand side of each congruent statement. We have "A" listed first, then "C" next. In short, segment AC is the first thing mentioned of ACB. This means that we need to list out segment AC as the first thing for the other triangle as well, in order to have a match. Segment AC is the same as segment CA, which is the first segment mentioned in triangle CAD. That's why choice 3 is the answer.
Note how something like triangle CDA won't work since segment CD is listed first, which doesn't pair up with segment AC. This allows us to rule out the first answer choice. Choices 2 and 4 can be eliminated for similar reasons.
Put another way: let's assume choice 1 was the answer. That would mean that AC = CD as they are the first pair of letters of ACB and CDA respectively. But the diagram shows that AC = CD is not true; otherwise, the segments would have similar tickmarks to show they are the same length. This is an alternative way to see why choices 1, 2, and 4 can be crossed off the list.
2 your welcome d d d d d d. d d d d s s s s
Answer:
(C) -6
Step-by-step explanation:
Given the following data;
Points on the graph (x1, y1) = (1, -9).
Mathematically, the equation of a straight line is given by the formula;
y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
To find the zero of the linear function f, we would use the following formula;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - (-9) = -3(x - 1)
y + 9 = -3x + 3
y = -3x + 3 - 9
y = -3x -6 = mx + c
Intercept (c) or zero of a function = -6
Answer:
infinitely many solutions
Step-by-step explanation:
Let's first eliminate y^2.
To accomplish this, divide the 2nd equation by 5, obtaining
y^2 = 5/2 - x^2. Now substitute this result for y in the first equation:
(-1/3)x^2 = -5/6 + (1/3)(5/2 - x^2), or
-x^2 -5 5 x^2
-------- = ------ + ------- - -------- and this simplifies to:
3 6 6 3
-x^2 x^2
------- = - ------- which is an identity and is thus always true.
3 3
Thus, any value of x will satisfy this equation; there are infinitely many solutions.
<u>Methods to solve rational equation:</u>
Rational equation:
A rational equation is an equation containing at least one rational expression.
Method 1:
The method for solving rational equations is to rewrite the rational expressions in terms of a common denominator. Then, since we know the numerators are equal, we can solve for the variable.
For example,
This can be used for rational equations with polynomials too.
For example,
When the terms in a rational equation have unlike denominators, solving the equation will be as follows
Method 2:
Another way of solving the above equation is by finding least common denominator (LCD)
Factors of 4:
Factors of 8:
The LCD of 4 and 8 is 8. So, we have to make the right hand side denominator as 8. This is done by the following step,
we get,
On cancelling 8 on both sides we get,
Hence, these are the ways to solve a rational equation.