Answer:
<h2>
</h2>
Step-by-step explanation:
x - y² = -1 ⇒ - y² = - x - 1 ⇒ y² = x + 1 {x≥-1}
4x² + 9y² = 72
4x² + 9(x + 1)² = 72
4x² + 9(x² + 2x + 1) = 72
4x² + 9x² + 18x + 9 - 72 = 0
13x² + 18x - 63 = 0 ⇒ a = 13, b = 18, c = -63
Answer:
It's the 3rd option.
-p^6
Step-by-step explanation:
Answer:
Step-by-step explanation:
To solve this system of equations, let's first find the value <em>y</em>. We can replace the x in the second equation with 11 + y, since we are told in the <em>first</em> equation that x is equal to 11 + y. So, let's replace x:
2(11 + y) + y = 19
22 + 2y + y = 19
22 + 3y = 19
3y = -3
y = -1
And look at that - we've found our y-value! Now, we can replace the y in the <em>first</em> equation with -1 to find the value of x.
x = 11 + (-1)
x = 10
So, the solution to this system of equations is (10, -1). Hopefully that's helpful!
Answer:
Options A, C and D are correct ones.
Step-by-step explanation:
Options A, C and D are correct.
The addition property of equality states that if you add the same value to both sides of an equation, the sides of the equation stay equal
∠EGB and ∠AGF are congruent by <u>addition property</u>
Reason:
AB is parallel to CD; Given
Points E, G, H, and F are collinear; Given
The measure of ∠EGF = 180° by angles on a straight line
∠AGF and ∠AGE are adjacent angles, therefore, ∠AGF + ∠AGE = ∠EGF
- ∴ ∠AGF + ∠AGE = 180° by transitive property
∠CHE and ∠AGF are same side interior angles
∠AGF + ∠AGE = ∠CHE + ∠AGF
Therefore, the measure of ∠AGE is equal to the measure of ∠CHE by <u>addition property of </u><u>equality</u>
- ∠EGB + ∠AGE = ∠AGF + ∠AGE by linear pair angles
Therefore;
∠EGB and ∠AGF are congruent by the<u> addition property</u> of equality
Learn more here:
brainly.com/question/13162036
