Remember that the y-intercept is where the function has a value of 
and the x-intercept is where the function has a value of 
. Thus, to find the x-intercept and y-intercept, we can substitute these values into the equation and solve for the other variable.
<u>x-intercept</u>
Since the x-intecept has a y-value of 0, we can substitute this into the function and solve for 
.
The x-value of the x-intercept is 
and the y-value is 0, meaning that the x-intercept has coordinates 
.
<u>y-intercept</u>
Since the y-intercept has a x-value of 0, we can substitute this into the equation and solve for 
:
The y-value of the y-intercept is -3, meaning that the y-intercept of the function is 
.
The answer is infinitely many solutions.
<span>x - y = 11
-x + y = -11
_____
Express the first equation in the term of x and substitute it into the second equation:
x = y + 11
</span>-x + y = -11
_______
-(y + 11) + y = -11
-y - 11 + y = -11
-y + y = 11 - 11
0 = 0
So, the system has infinitely many solutions.
ANSWER
B.
EXPLANATION
The volume of a cone is calculated using the formula:
where r=4 units is the base radius of the cone.
and h=21 units is the vertical height of the cone.
We plug in the values to get;
<h3>Proof:</h3>
Refer to the attached figure.
There are a couple of ways you can go at this. One is to show the sums of the marked angles are the same, hence ∠B ≅ ∠D. Instead, we're going to show that ΔABD ≅ ΔCDB, hence ∠A ≅ ∠C.
1. AB║DC and BC║AD . . . . given
2. BD is a transversal to both AB║DC and BC║AD . . . . given
3. ∠CBD ≅ ∠ADB . . . . alternate interior angles where a transversal crosses parallel lines are congruent
4. ∠CDB ≅ ∠ABD . . . . alternate interior angles where a transversal crosses parallel lines are congruent
5. BD ≅ BD . . . . reflexive property of congruence
6. ΔABD ≅ ΔCDB . . . . ASA postulate
7. ∠A ≅ ∠C . . . . CPCTC
∠A and ∠C are opposite angles of parallelogram ABCD, so we have shown what you want to have shown.
Answer:
81 points
Step-by-step explanation:
8/9 = 72 / x
8 goes into 72, 9 times
9 times 9 is 81
I'm sorry if the explanation doesn't make sense. I hope this helps!
