All categories

1 year ago

Solve the system of equations by elimination. Show your work. i’ll give brainliest

Mathematics

2 answers:

My name is Ann [436]1 year ago

5 0

Answer:

x = 5

y = 4

Step-by-step explanation:

multiply the second equation by -1 and add the first equation to eliminate "x"

$4x+6y=44\\-4x-2y=-28$
_____________

$4y=16$

$y=16/4 =4$

Replace "y" in the first equation:

$4x+6(4)=44$

$4x+24=44$

$4x=44-24$

$x=20/4=5$

Hope this helps

chubhunter [2.5K]1 year ago

3 0

Answer:

x = 5, y = 4.

Step-by-step explanation:

4x + 6y = 44 (A)

4x + 2y = 28 (B)

Subtract equations: (A) - (B).

0 + 4y = 16

y = 16/4

y = 4.

Now plug y = 4 into equation A:

4x + 6(4) = 44

4x = 44 - 24

4x = 20

x = 5.

Now check if these roots are correct by plugging them into equation B:

4x + 2y = 28

4(5) + 2(4) = 28 - check OK.

You might be interested in

Jean gets an allowance of $15 each month plus an extra $2 for each chore she completes around the house. How much allowance will

katovenus [111]

The answer is 2x + 15 dollars.

5 0

3 years ago

If h = 8 units and r = 2 units, then what is the approximate volume of the cone

Mumz [18]

V=π * r^2 * h/3 = π * 2^2 * 8/3 ≈ 33.51032 or about 34 units^2

8 0

3 years ago

Read 2 more answers

ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I'll MARK BRAINLIEST TO WHO ANSWER'S FIRST

garri49 [273]

Answer:

y = -1/4x - 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

Find points from the graph.

Point (-4, -5)

y-intercept (0, -6)

Step 2: Find slope m

Substitute: $m=\frac{-6+5}{0+4}$
Add: $m=\frac{-1}{4}$

Step 3: Write linear function

y = -1/4x - 6

7 0

2 years ago

Find the lateral area of this pyramid whose base is a regular hexagon with a side length of 3cm and whose slant height is 12cm.

juin [17]

Answer:

108 cm^2

Step-by-step explanation:

The lateral surface area of a pyramid is given as

LSA= 1/2×perimeter of the base×slant height

base is hexagon with side 3 cm , therefore, perimeter of the base

=6×3=18 cm

slant height = 12 cm

thus, LSA = 1/2×18×12 = 108 cm^2

4 0

3 years ago

If f(x) = 9x10 tan−1x, find f '(x).

djverab [1.8K]

Answer:

$\displaystyle f'(x) = 90x^9 \tan^{-1}(x) + \frac{9x^{10}}{x^2 + 1}$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]: $\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle f(x) = 9x^{10} \tan^{-1}(x)$

Step 2: Differentiate

[Function] Derivative Rule [Product Rule]: $\displaystyle f'(x) = \frac{d}{dx}[9x^{10}] \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]$
Rewrite [Derivative Property - Multiplied Constant]: $\displaystyle f'(x) = 9 \frac{d}{dx}[x^{10}] \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]$
Basic Power Rule: $\displaystyle f'(x) = 90x^9 \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]$
Arctrig Derivative: $\displaystyle f'(x) = 90x^9 \tan^{-1}(x) + \frac{9x^{10}}{x^2 + 1}$

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

Unit: Differentiation

7 0

2 years ago