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3 years ago

Solve for x: 2x + 4 ≤ 12

Mathematics

1 answer:

ZanzabumX [31]3 years ago

4 0

Hi there, please give me the brandies the answer if I helped. The photo is attached below.

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What can be concluded if angle 1 =angle7

Maksim231197 [3]

From the information given in the question,
the only possible conclusion is:

If angle 1 is measured and angle 7 is measured,
the two measurements will be identical.

If angle 1 and angle 7 are related to a particular shape or drawing,
then additional conclusions may be possible, but we'd need to see
the shape or drawing.

8 0

3 years ago

Find the function y = f(t) passing through the point (0, 18) with the given first derivative.

monitta

Answer:

$\displaystyle y = \frac{t^2}{16} + 18$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Functions
Function Notation
Coordinates (x, y)

Calculus

Derivatives

Derivative Notation

Antiderivatives - Integrals

Integration Constant C

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Step-by-step explanation:

Step 1: Define

Identify

Point (0, 18)

$\displaystyle \frac{dy}{dt} = \frac{1}{8} t$

Step 2: Find General Solution

Use integration

[Derivative] Rewrite: $\displaystyle dy = \frac{1}{8} t\ dt$
[Equality Property] Integrate both sides: $\displaystyle \int dy = \int {\frac{1}{8} t} \, dt$
[Left Integral] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle y = \int {\frac{1}{8} t} \, dt$
[Right Integral] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle y = \frac{1}{8}\int {t} \, dt$
[Right Integral] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle y = \frac{1}{8}(\frac{t^2}{2}) + C$
Multiply: $\displaystyle y = \frac{t^2}{16} + C$

Step 3: Find Particular Solution

Substitute in point [Function]: $\displaystyle 18 = \frac{0^2}{16} + C$
Simplify: $\displaystyle 18 = 0 + C$
Add: $\displaystyle 18 = C$
Rewrite: $\displaystyle C = 18$
Substitute in C [Function]: $\displaystyle y = \frac{t^2}{16} + 18$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration

Book: College Calculus 10e

4 0

2 years ago

The base of an isosceles triangle is 7 cm longer than the legs. Find the legs if the perimeter of the triangle is 43 cm.

Archy [21]

An isosceles triangle is a triangle that has one pair of equal sides. The Formula in finding the perimeter of a triangle is PΔ=S₁+S₂+S₃. Since two legs are missing, and the given are the base and perimeter, we will use the formula : S₁+S₂ = PΔ-S₃, where: S₁+S₂ are the legs and S₃ is the base.
Substitute values:
S₁+S₂ = 43cm - 7 cm
 = 36 cm
since S₁ and S₂ are equal, divide 36cm by 2. Therefore S₁ and S₂ measures 18cm.
Check: PΔ=S₁+S₂+S₃
 = 18cm + 18 cm + 7cm
= 43cm

8 0

3 years ago

Read 2 more answers

7x+6>or equal to -(x-6)

WINSTONCH [101]

Answer:

x≥ 0

Step-by-step explanation:

7x+6 ≥ -(x-6)

Distribute the minus sign

7x+6 ≥ -x+6

Add x to each side

7x+x+6 ≥ -x+x+6

8x+6 ≥ 6

Subtract 6 from each side

8x+6-6 ≥ 6

8x≥ 0

Divide by 8

8x/8≥ 0/8

x≥ 0

3 0

3 years ago

There are 16 white balloons, 24 red balloons. Each arrangement must be identical. What is the greatest number of arrangements yo

katovenus [111]

Answer:

Step-by-step explanation:

hope i helped have a verey good day

4 0

3 years ago