Answer:
y - 6 = -1(x + 3/2).
Step-by-step explanation:
Point-slope form is
y - y1 = m(x - x1)
Here m = -1, x1 = -3/2 and y1 = 6
So it is:
y - 6 = -1(x - (-3/2)
y - 6 = -1(x + 3/2)
Which expressions are equivalent to 4(3j+(-4))-94(3j+(−4))−94, (, 3, j, plus, (, minus, 4, ), ), minus, 9 ? Choose all answers t
Rudik [331]
Answer:
Option B)
Step-by-step explanation:
We are given the following expression in the question:
Evaluating the given expression:
If we rearrange the given expression, we get,
Thus, the correct answer is:
Option B)
what is the length of lines UV, VW, WX, and VU when the points U(7,9), V(0,5), W(-6,-3)U(7,9),V(0,5),W(−6,−3), and X(1,1)X(1,1)
Nimfa-mama [501]
The length of lines UV, VW, WX, and UX are: = √65 units, 10 units,√65 units and 10 units respectively.
<h3>What is Distance Formula?</h3>
Algebraic expression that gives the distances between pairs of points in terms of their coordinates
Given that: U(7,9), V(0,5), W(-6,-3) ,X(1,1)
The length can be find by using Distance Formula,
Length of UV,
=
=
= √65 units
Length of VW,
=
=
=√100 units
= 10 units
Length of WX,
=
= √49+ 14
= √65 units
Length of XU,
=
= √36+64
=√100 units
= 10 units
Length of UW,
=
= √169+144
=√313 units
Length of VX,
=
= √1+16
=√17 units
Thus, Length of opposite sides are equal but the length of diagonals are not Equal. So, the quadrilateral is a parallelogram.
Learn more about distance formula here:
brainly.com/question/12674171
#SPJ1
Answer:
C
Step-by-step explanation:
Complementary means that the angles have a sum of 90° so we can write:
m∠A + m∠B = 90° → 3x + 2 + 8x = 90
11x + 2 = 90
11x = 88
x = 8 which means that m∠B = 8x = 8 * 8 = 64°.
Supplementary means that the angles have a sum of 180° so m∠C = 180° - m∠B = 180° - 64° = 116°.
Answer:
(a) -12
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Calculus</u>
Integrals
Integration Rule [Reverse Power Rule]:
Integration Property [Swapping Limits]:
Integration Property [Multiplied Constant]:
Integration Property [Addition/Subtraction]:
Integration Property [Splitting Integral]:
Integration Rule [Fundamental Theorem of Calculus 1]:
Step-by-step explanation:
<u>Step 1: Define</u>
<u /><u />
<u /><u />
<u /><u />
<u />
<u>Step 2: Solve Pt. 1</u>
- [Integral] Rewrite [Integration Property - Addition]:
- [Integral] Rewrite [Integration Property - Multiplied Constant]:
<u>Step 3: Redefine</u>
<em>Manipulate the given integral values.</em>
- [Integrals] Combine [Integration Property - Splitting Integral]:
- [Integral] Rewrite:
- [Integral] Substitute in integrals:
- [Integral] Add:
- [Integral] Rewrite [Integration Property - Swapping Limits]:
- [Integral] [Division Property of Equality] Isolate integral:
<u>Step 4: Solve Pt. 2</u>
- [Integral] Substitute in integral:
- [Integral] Integrate [Integration Rule - Reverse Power Rule]:
- [Integral] Evaluate [Integration Rule - FTC 1]:
- [Integral] (Parenthesis) Subtract:
- [Integral] Multiply:
- [Integral] Add:
Topic: AP Calculus AB/BC
Unit: Integration
Book: College Calculus 10e