Simplyfy the expression 4x+(15x+y) -11y​

Answers

Answer 1
Answer:

Steps to solve:

4x + (15x + y) - 11y​

~Remove parenthesis and combine like terms

4x + 15x + y - 11y​

19x - 10y

Best of Luck!

Answer 2
Answer:

Answer:

(64x -11)/y

Step-by-step explanation:

Multiply 4x into the parenthesis.

60x + 4xy -11y

Divide by y.

(60x + 4x -11)/y

(64x -11)/y


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Quadrilateral ABCD is located at A(−2, 2), B(−2, 4), C(2, 4), and D(2, 2). The quadrilateral is then transformed using the rule (x − 2, y + 8) to form the image A'B'C'D'. What are the new coordinates of A', B', C', and D'? Describe what characteristics you would find if the corresponding vertices were connected with line segments.

you were planning to use a ceramic tile design in your new bathroom. The towels are blue and white equilateral triangle of you decides arrange the blue tiles in a hexagonal shape as shown if the side of each tile measures 7 cm what were the exact area of each hexagonal shape

Answers

I found the image that should have accompanied this problem.

Given:
equilateral triangle with sides that measures 7cm.
hexagonal shape meaning 6 sides or 6 equilateral triangles used.

Area of an equilateral triangle = √3/4 * a²
A = √3 /4 * (7cm)²
A = 1.73/4 * 49cm²
A = 21.20 cm²

21.20 cm² * 6 tiles = 127.20 cm²  ARea of the hexagon.


Find the equation of a straight line passing through the point (0,1) which is perpendicular to the line y=-2x+2

Answers

Answer:

y = (1)/(2) x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 2 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

m_(perpendicular) = - (1)/(m) = - (1)/(-2) = (1)/(2)

The line crosses the y- axis at (0, 1) ⇒ c = 1 , then

y = (1)/(2) x + 1 ← equation of perpendicular line

Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3?A) −5x − 7 < −22 and −5x − 7 ≥ −3
B) −5x − 7 > −22 and −5x − 7 ≥ −3
C) −5x > −22 and −7 ≥ −3
D) −5x − 7 < −22 and −5x − 7 ≤ −3

Answers

The equivalent form of the compound inequality −22 > −5x − 7 ≥ −3 are A) −5x − 7 < −22 and −5x − 7 ≥ −3

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.

Then a Set of such values is called solution set to the considered equation or inequality.

The equivalent form of the given inequality can be obtained by dividing the inequality into two parts.

In this case, we are given -22 > -5x - 7 > -3.

The two parts are; -22 > -5x - 7 and -5x - 7 > -3.

Since the −5x − 7 and −22 have interchanged sides, the inequality sign also changes direction.

For part two, we have  −5x − 7 ≥ −3 remains unchanged.

Therefore, The choice that reflects these parts is A)-5x - 7 < -22 and -5x - 7 -3

Hence, The equivalent form of the compound inequality −22 > −5x − 7 ≥ −3 are A) −5x − 7 < −22 and −5x − 7 ≥ −3

Learn more about inequalities here:

brainly.com/question/27425770

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A) −5x − 7 < −22 and −5x − 7 ≥ −3

Working;
Since the 
−5x − 7 and −22 have interchanged sides, the inequality sign also changes direction.

For part two,  −5x − 7 ≥ −3 remains unchanged.

Caitlin had $402 in her bank account. She withdrew $15 each week to pay for a swimming lesson. She now has $237.a. Write an equation that can be used to find the number of swimming lessons that she paid for.
b. How many swimming lessons did she pay for?
c. At the time she has $237, the cost of a lesson rose to $19. How many lessons can she pay for with her remaining $237?

Answers

a.) Let x be the number of swimming lessons she had, then
402 - 15x = 237

b.) 15x = 402 - 237 = 165
x = 165/15 = 11
She had 11 swimming lessons

c.) Let the number of lesson she had be y, then 19y = 237
y = 237/19 = 12 lessons
She can pay for 12 lessons with her remaining $237.
A) Equation:

($402 - $237) ÷ $15 = y

B) Solution:

$402 - $236 = $165

$165 ÷ $15 = 11

Answer: 11 Swimming Lessons

C) Equation:

$237 ÷ $19 = 13

Answer: 13 Swimming Lessons


Choose the triangle that seems to be congruent to the given one.AFD =~ ____

AFC
BFC
DFE

Answers

Answer:

The triangle that seems to be congruent to triangle AFD is triangle AFC.

Step-by-step explanation:

As in the give triangle AFD, there is an obtuse angle, i.e angle AFD is obtuse angle.

So, in order to have a congruent triangle, the another triangle must have an obtuse angle.

From the given triangles, only triangle AFC has an obtuse angle and that is angle AFC. And they also share a side, so the chances of congruency is more in this case.

Triangle BFC and Triangle DFE does not have an obtuse angle.

AFD is equivalent to AFC.

They are the same size, shape, length, and angles.

I hoped I helped!

What is the simplest form of this expression? 2y(7y^2+1)-5y

Answers

14y^3 -3y is the simplest form of the expression.