Answer:
A. Transverse.
Step-by-step explanation:
We have been given a statement and we are supposed to choose the correct option to fill in the blank for our given statement.
Statement: The line segment that connects the two vertices of a hyperbola is called the ____ axis.
Since we know that the endpoints of transverse axis are known as the vertices of hyperbola, so the line segment that connects the two vertices of a hyperbola is called the <u>transverse </u> axis.
Therefore, option A is the correct choice.
Answer:
(-1, -2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-2x + y = 0
5x + 3y = -11
<u>Step 2: Rewrite Systems</u>
-2x + y = 0
- Add 2x on both sides: y = 2x
<u>Step 3: Redefine Systems</u>
y = 2x
5x + 3y = -11
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 5x + 3(2x) = -11
- Multiply: 5x + 6x = -11
- Combine like terms: 11x = -11
- Isolate <em>x</em>: x = -1
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: y = 2x
- Substitute in <em>x</em>: y = 2(-1)
- Multiply: y = -2
<u>Step 6: Graph Systems</u>
<em>Check the solution set.</em>
A) the slope of the equation is 5, the y intercept is 10.
b) the rate of change is just the slope, so 5 but it means that they are picking 5 berries over that period of time. the initial amount is just the y intercept which is 10. this is just how many berries you start with.
c)
The answer is at least 11 weeks not almost.
The student made an error in <u>step 3</u>. To correct this error, he should define <u>side AY</u> in terms of <u>angle X</u>. <u>Pythagorean theorem</u> relates sides x, y, z, and <u>angle X</u>
<h3>The law of cosine.</h3>
In Trigonometry, law of cosine (cos) is given by this mathematical expression:
cosθ = Opp/Hyp
<u>Where:</u>
- Opp is the opposite side of a right-angled triangle.
- Hyp is the hypotenuse of a right-angled triangle.
In this scenario, we can logically deduce that the student made an error in <u>step 3</u>. To correct this error, he should define <u>side AY</u> in terms of <u>angle X</u>.
After correcting this error, the student can use the <u>Pythagorean theorem</u> to relate sides x, y, z, and <u>angle X</u>.
Read more on law of cosine here: brainly.com/question/27613782
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