A student wants to use the property
(
x

y
)
(
x
+
y
)
=
(
x
2

y
2
)
to find the product
(
26
)
(
34
)
.
Which statement is true?

Answers

Answer 1

The property is an illustration of difference of two squares

The true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]

The property is given as:

[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]

The product is given as:

[tex]\mathbf{(26)(34)}[/tex]

Let x - y = 26, and x + y = 34.

So, we have:

[tex]\mathbf{x - y = 26}[/tex]

[tex]\mathbf{x + y = 34}[/tex]

Make x the subject in [tex]\mathbf{x - y = 26}[/tex]

[tex]\mathbf{x = 26 +y}[/tex]

Substitute 26 + y for x in [tex]\mathbf{x + y = 34}[/tex]

[tex]\mathbf{26 + y+ y = 34}[/tex]

[tex]\mathbf{26 + 2y = 34}[/tex]

Subtract 26 from both sides

[tex]\mathbf{2y = 34 -26}[/tex]

[tex]\mathbf{2y = 8}[/tex]

Divide both sides by 2

[tex]\mathbf{y = 4}[/tex]

Substitute 4 for y in [tex]\mathbf{x = 26 +y}[/tex]

[tex]\mathbf{x = 26 + 4}[/tex]

[tex]\mathbf{x = 30}[/tex]

So, we have:

[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]

[tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]

Hence, the true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]

Read more about difference of two squares at:

https://brainly.com/question/23651973


Related Questions

Find the slope of the equation of the line that passes through the given points. through: (0, -3) and (3, 4)

Answers

Answer:

7/3

Step-by-step explanation:

The slope is found by dividing the difference in the y-coordinates by the difference in the x-coordinates.

Here, the difference in the y-coordinates is: 4 - (-3) = 4 + 3 = 7. The difference in the x-coordinates is: 3 - 0 = 3.

Dividing 7 by 3, we get a slope of 7/3.

The slope you are looking for is 7.

You move left 3 units and down 2 units. You end at (0, -1). Where did you start?

Answers

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Suppose i started from ( x , y ) .

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So ;

3 units left :

[tex]x - 3 = 0[/tex]

Add sides 3

[tex]x = 3[/tex]

_________________________________

2 units down :

[tex]y - 2 = - 1[/tex]

Add sides 2

[tex]y = 1[/tex]

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Thus i started from ( 3 , 1 ) .

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how many time does 14 go into 51

because I have to finish if I wont to go watch a new episode of ********

Answers

3 times, 14x3= 42. hope this helps

If you get it right I will give a brainlist

Answers

Answer:

Flour 5, 10, 15, 20

Sugar 4, 8, 12, 16

Step-by-step explanation:

Answer:

Flour (cups):   5  10  15   20

Sugar (cups):  4   8   12   16

You need 16 cups of sugar

What would the set notation for the domain and range of the function, (-3, 6), (-2, -3), and (-1, 6)

Answers

Answer:

Domain: {-3, -2, -1}

Range: {-3, 6}

General Formulas and Concepts:

Domain is the set of x-values that can be inputted into function f(x). Range is the set of y-values that are outputted by function f(x).

Step-by-step explanation:

Step 1: Define

(-3, 6)

(-2, -3)

(-1, 6)

Step 2: Identify x-values

x = -3, -2, -1

Step 3: Identify y-values

y = -3, 6, 6


Write the equation of the line perpendicular to y = x+ 5 that passes through the point ( -7,3).
Type an equation using slope-intercept form or using the given point in point-slope form.

Answers

Answer:

y = - x - 4

Step-by-step explanation:

A line perpendicular to the line:  y = x + 5

must have a slope that is the "opposite of the reciprocal" of the slope of the given line. Then the slope of the perpendicular line must be "-1".

Now that we know the slope of the perpendicular line, we use the point (-7, 3) to complete the equation of the line:

y = -1 x + b

3 = -1 (-7) + b

then we solve for "b":

3 = 7 + b

3 - 7 = b

b = -4

Now we can write the total equation of the perpendicular line in slope-intercept form as:

y = - x - 4

make x the subject
thank you​

Answers

Answer:

[tex]x =\sqrt{\frac{a^6m}{b^2}+n}[/tex]

General Formulas and Concepts:

Order of Operations: BPEMDASEquality PropertiesExponent Power Rule: [tex](b^m)^n=b^{mn}[/tex]

Step-by-step explanation:

Step 1: Define equation

[tex]a\sqrt{\frac{x^2-n}{m} } =\frac{a^2}{b}[/tex]

Step 2: Solve for x

Multiply a on both sides:                    [tex]\sqrt{\frac{x^2-n}{m} } =\frac{a^3}{b}[/tex]Square both sides:                              [tex]\frac{x^2-n}{m} =(\frac{a^3}{b})^2[/tex]Simplify:                                               [tex]\frac{x^2-n}{m} =\frac{a^6}{b^2}[/tex]Multiply m on both sides:                   [tex]x^2-n =\frac{a^6}{b^2}m[/tex]Add n to both sides:                           [tex]x^2 =\frac{a^6}{b^2}m+n[/tex]Simplify:                                               [tex]x^2 =\frac{a^6m}{b^2}+n[/tex]Square root both sides:                      [tex]x =\sqrt{\frac{a^6m}{b^2}+n}[/tex]

What is the solution of the equation?
-39.75 = 7.5m

Answers

Answer:

m = -5.3

Step-by-step explanation:

-39.75 = 7.5m

Divide both sides by 7.5 to get m alone

-39.75/7.5 = 7.5m/7.5

-5.3 = m

Hope this helps:)

Answer:

m= -5.3

Step-by-step explanation:

-39.75=7.5m

(divide both sides by 7.5)

-5.3=m

The expression 7+3x+4 represents the perimeter of the triangle. Simplify the expression.


Answers

Answer:

The answer is 3x+11

Step-by-step explanation:

Just add 7 and 4.

The volume of a cylinder is 72 if the radius is 3 what is the height

Answers

Answer is Height=2.55

Mr. Grove cut down in tree in his yard. He gave 1/3 of the tree to his neighbor and 1/6 of the tree to his brother. Mr. Grove kept the remaining portion. How much tree did he keep?
A. 1/3
B. 2/3
C. 1/2
D. 5/6

Answers

Answer:

1/2 or C

Step-by-step explanation:

1/3 = 2/6. 2/6 + 1/6 = 3/6. that leaves 1/2 left over

What is the equation of this graphed line? Enter your answer in slope-intercept form in the box. please i really need help

Answers

Answer:

y = -9/8x+7

Step-by-step explanation:

First Find The Slope: 7--2/0-8=-9/8

Find Y Intercept=7

Than Write Equation: y=-9/8x+7

Help please answer!this is on Zearn.org

Answers

the answer to this is 3/14

Answer:

3/14 this is correct answer

Step by step explanation

3 over 14

In Terrance county, 85% of eligible voters are registered to vote, and government records from a recent gubernatorial election indicate that 60% of registered voters actually voted in the election. If there are 21,800 eligible voters in Terrance County, how many people voted in the recent gubernatorial election?

Answers

Answer:

The Texas secretary of state’s office reported a tally of 9,669,246 votes for early voting Saturday morning, as some county data continued to trickle in. This year’s turnout for early voting alone exceeded the state’s entire turnout of 8,969,226 in 2016, when the state voted for Donald Trump with a margin of 9 percentage points.

In 2016, turnout for registered voters in Texas was 59.4%, lending credence to its reputation for low turnout. With current early voting totals, the state has already hit 57% turnout, and more than half of registered voters have voted in 128 of the state’s 254 counties. In 29 Texas counties, there was a 60% turnout or better.

Step-by-step explanation:

Identify proportional realationships from graphs

Answers

Answer:

its yes

Step-by-step explanation:

PLEASE HELP

WHAT ARE THE X AND Y INTERCEPTS!?!?​

Answers

y intercept is 5.5
x intercept is -7.5

Answer:

X intercept is the point where the line meets the x. y intercept is the point where the line meets the y.  So, the x intercept is -7.5 and the y intercept is 5.5.

 

the product of mais age and 8 is 104

Answers

Answer:

mais age is 13

Step-by-step explanation:

104 divided by 8 is 13

If you answer I’ll give brainliest and points

(Question in photo!)

Answers

Answer:

c

Step-by-step explanation:

Answer:

KKKK

Step-by-step explanation:

HELP I WILL MARK BRAINLIEST
A property map is drawn at a scale of 1:1000. Calculate the corresponding actual distance if the distance between two points on the map is 1 cm

Answers


By the scale of 1:1000, it implies that ; 1cm on the map represents 1000 on actual ground.
So 2.5cm will represent 2.5×1000=2500

HELP ME ASAP ILL GIVE U A BRAINLIEST

Answers

Answer:

The pizza was heated 7.50 degrees

The answer is 7.5 Celsius.
The rate of change on the right side of the table adds 45 each time, and the rate of change on the left side of the table adds 6 each time. So 45÷6 = 7.5

Please help 25 points plus brainlyist

Match the mathematical phrases to the correct equations.
The product of a number and thirty-
point-six is the same as five-point-two.
k(30.6) = 5.2
Five-sixths more than a number
is twenty
x + 5/6 = 20
One-fourth of a number is forty.
1/4n = 40
Four-tenths minus two times a number
is eleven and two-tenths.
0.4-2m = 11.2

Answers

Answer:A to C, B to D,C to B, D to A

Step-by-step explanation:

right on edge,if confusing I could try to take a pic

The fifth grade students at East street decided to host a fundraiser for red ribbon week they planed to buy 240 inches of red ribbon how much will it cost them

Answers

Answer:

(Amount for 1 inch of red ribbon) x (240) = total cost

Step-by-step explanation:

Cost X 240 (inches of ribbon) = ??

Depending on cost and how much, it’ll give you the answer

Number 17 thanks pls ASAP ASAP

Answers

Answer:

[tex]\frac{1}{2}[/tex]  which agrees with answer B

Step-by-step explanation:

First write the equation that represents this type of variation:

[tex]y=\frac{5}{x}[/tex]

then we need to solve for "x" when y  = 10 as shown below:

[tex]y=\frac{5}{x} \\10=\frac{5}{x} \\10*x=5\\x=\frac{5}{10} \\x=\frac{1}{2}[/tex]

If f(x) = 2x +4, which of the following is the inverse of f(x)

Answers

Step-by-step explanation:

let y = f(x)

y = 2x/7 + 4

2x/7 = y - 4

x/7 = (y - 4)/2

x = 7(y - 4)/2

therefore, f^-1(x) = 7(x - 4)/2 (Option A)

Topic: Functions

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

If f(x)=2x+4 then the inverse is x=(2/7)f(x)+4
Now just solve for the new f(x)
(2/7)f(x)=x-4
f(x)=(7/2)(x-4)
ANSWER: A

3. $590 is deposited into a
savings account that earns
4.3 % simple interest for 3
years.

Answers

Answer:

615.37

Step-by-step explanation:

590 x 1.043

Hope I helped!

Hhheleppppp urgggeenttt

Answers

they intercept at (-1,5)

help help help help help help help help help help

Answers

Answer:

27

Step-by-step explanation:

Answer:

the answer its 31

Step-by-step explanation:

and first 21 : (2+1) x 5- 2^2

21 : 3 x 5 -2^2

7x5- 2^2

35-4

31

I hope you understand


4.) Rotate the image 90 degrees counter-clockwise about the origin. (x,y) -> (-y, x)

Answers

Answer:

is rotation of 90° counterclockwise about origin and hence it is the correct answer.Step-by-step explanation:

What slope would make the lines
parallel?
y = 4x + 2
y = [?]x-4
Enter the number that belongs in the green box.

Answers

Answer:

4

Step-by-step explanation:

Parallel lines have the same slope and since the slope of the first line is 4 the second lines slope is also 4

Answer:

Step-by-step explanation:

Slopes of parallel lines are the same.

m = 4

A school event requires at least 3 parents for every 10 kids. How many parents for 50 kids?

Answers

Answer:

16 i think

Step-by-step explanation:

could i have brain liest tho i 4/5

Answer:

15 parents

Step-by-step explanation:

If there are 3 adults per 10 kids, if there are 50 kids then you would divide 50 by 10 to get five. Then multiply 5 by 3 to get 15.

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