Using the distributive property, distributing -1 ; multiplies each term in the parenthesis by a negative sign. Hence, it is similar to subtraction because You multiply each term inside the parentheses by –1 in order to subtract each term, since subtraction is the additive inverse.
The additive inverse of a value is the value which ensures that the addition of two values gives 0.
Using the relation :
(w + x) - (y + z)
The negative sign implies distributing -1 to all values in the parenthesis ;
w + x - y - z
Hence, it is similar to using the subtraction operation directly :
(w + x) - y - z
Therefore, subtraction ls similar to distributing - 1
Learn more :https://brainly.com/question/20901195
I need help please!!!!!!
Answer: pretty sure it is linear
Step-by-step explanation:
25% of the tickets sold at a water park were child tickets. If the park sold 92 tickets in all,
how many child tickets did it sell?
A gardener has 60 feet of fencing to keep
animals out of the garden. Find the LARGEST
AREA of garden that this fence will enclose.
Answer:
225 ft^2
Step-by-step explanation:
From what we have in the question, we have 60 ft of fencing
To maximize the area, we will need to have a square
For a square, the length of all sides are equal
Let us call one of the sides s
Thus, from the perimeter of the square;
4s = 60
s = 60/4
s = 15 ft
The area is thus, the product of the side length of the square
15 * 15 = 225 ft^2
What is the radius of this circle?
The radius of the circle is 3
DESPERATELY NEED HELP I WILL GIVE BRIANLYNESTTT
Answer:
7
Step-by-step explanation:
its 7
Answer:
slope Formula = y^2-y^1/x^2+x^1
Step-by-step explanation:
now,
[tex]10 - 3 \div 6 - 5 [/tex]
[tex]7 \div 1[/tex]
[tex] = 7[/tex]
(4y + 1) = 4
find the value of y
Answer:
y = 0.75
Step-by-step explanation:
(4y + 1) = 4
4y + 1 = 4
4y + 1 - 1 = 4 - 1
4y = 3
4y ÷ 4 = 3 ÷ 4
y = 0.75
Will give brainliest
Answer:
AC = 4.7 feet
Step-by-step explanation:
cos 20° = x
5
5 · cos 20° = x
4.7 = x
Which ratio represents the cotangent of angle B in the right triangle below?
A. 5/3
B. 3/5
C. 3/4
D. 4/3
Answer:
C. 3/4
Step-by-step explanation:
Using the SOH CAH TOA identity;
tan theta = opposite/adjacent
From the diagram
Opposite = x
Adjacent = 12
tan <B = x/12
Since cot <B = 1/tan <B
cot <B = 12/x
Get x using pythagoras theorem
x² = 20²-12²
x² = 400 -144
x² = 256
x = 16
Hence cot <B = 12/16
cot <B =3/4
hey what's
[tex] \sqrt{169} \times 2[/tex]
Answer:
the square root of 169 is 13 then ×2
26
I hope I am correct mate
enjoy your day
#Captainpower
(x - 3)(2x + 1)(Ax + 1) = 8x? + Bx? + Cx - 3
Work out the value of A, the value of B and the value of C.
Answer:
Please refer the below attachments.
Hope it helps
Please mark me as the brainliest
Thank you
PLEESSSE HELP ASAP !!!! WILLL GET BRAINLIEST
Answer:
B
Step-by-step explanation:
B/ y - 4 = 4/3(x - 6)
Maria is 12 years older than Jose. In 9 years Maria will be twice as old as Jose.
How old are they now?
Answer
This question has multiple answers to narrow it down to one we need to know how old is Maria.
Step-by-step explanation:
Solve the inequality 2x + 9 > 19 - 8x
x> 1
i hope it helps you ❤️❤️❤️
For what values of x:
Is the trinomial x^2−11x+31 equal to 1?
are the values of the polynomials x^2−5x−3 and 2x−5 equal?
Is the binomial 7x+1 equal to the trinomial 3x^2−2x+1?
Is the trinomial −2x^2+5x+6 equal to the binomial 4x^2+5x?
Answer:
A) x = 5 or x = 6
B) x = 0.298 or 6.702
C) x = 3
D) x = ±1
Step-by-step explanation:
A) Values of x for which;
x² − 11x + 31 = 1
x² - 11x + 30 = 0
Using quadratic formula, we have;
x = 5 and x = 6
B) Values of x for which;
x² − 5x − 3 = 2x − 5
x² − 5x - 2x - 3 + 5 = 0
x² - 7x + 2 = 0
Using quadratic formula, we have;
x = 0.298 or 6.702
C) Values of x for which;
7x + 1 = 3x² − 2x + 1
3x² - 2x - 7x + 1 - 1 = 0
3x² - 9x = 0
3x² = 9x
Divide both sides by 3x to get;
x = 3
D) Values of x for which;
−2x² + 5x + 6 = 4x² + 5x
Rearranging, we have;
4x² + 2x² + 5x - 5x - 6 = 0
6x² - 6 = 0
x² = 6/6
x² = 1
x = √1
x = ±1
The values of [tex]x[/tex] for the given situations would be as follows:
A). [tex]x = 5[/tex] or [tex]x = 6[/tex].
B). [tex]x = 0.298[/tex] or [tex]6.702[/tex]
C). [tex]x = 3[/tex]
D). [tex]x =[/tex] ±[tex]1[/tex]
Find the value of xa). [tex]x^2 - 11x + 31 = 1[/tex]
⇒ [tex]x^2 - 11x + 30 = 0[/tex]
by employing the quadratic equation, we have the values of [tex]x[/tex];
Considering
a = 1
b = -11
c = 30
⇒ {[tex]-(-11)[/tex] ± [tex]\sqrt{(-11)^2 -4 .1. 30 }[/tex]}[tex]/2.1[/tex]
Now,
[tex]x =[/tex] ([tex]11[/tex] ± [tex]1)/2[/tex]
Thus, the values for which the given trinomial would be equivalent to 1 would be:
∵ [tex]x = 5[/tex] and [tex]x = 6[/tex]
b). [tex]x^2 - 5x - 3 = 2x - 5[/tex]
⇒ [tex]x^2 - 5x - 2x - 3 + 5 = 0[/tex]
⇒ [tex]x^2 - 7x + 2 = 0[/tex]
by employing the quadratic equation, we have the values of [tex]x[/tex];
Therefore, the values of polynomials [tex]x^2 - 5x - 3 = 2x - 5[/tex] when:
∵ [tex]x = 0.298[/tex] or [tex]x = 6.702[/tex]
c). [tex]7x + 1 = 3x^2 - 2x + 1[/tex]
⇒ [tex]3x^2 - 2x - 7x + 1 - 1 = 0[/tex]
⇒ [tex]3x^2 - 9x = 0[/tex]
⇒ [tex]3x^2 = 9x[/tex]
by dividing both the sides by [tex]3x[/tex] to receive;
Hence, the binomial and trinomial [tex]7x + 1 = 3x^2 - 2x + 1[/tex] when:
∵ [tex]x = 3[/tex]
d). [tex]-2x^2 + 5x + 6 = 4x^2 + 5x[/tex]
by arranging them again, we get;
[tex]4x^2 + 2x^2 + 5x - 5x - 6 = 0[/tex]
⇒ [tex]6x^2 - 6 = 0[/tex]
⇒ [tex]x^2 = 6/6[/tex]
The trinomial and binomial [tex]-2x^2 + 5x + 6 = 4x^2 + 5x[/tex] would be when:
∵ [tex]x =[/tex] ±[tex]1[/tex]
Learn more about "Binomial" here:
brainly.com/question/3560614
At the end of the year, cars made in the current year are marked down to make room for
next year's models. One particular model had a sticker price of $45,160 when it was new. It
has just been marked down by 5%. What is the sale price of the vehicle?
Answer:
The sale price of the vehicle is $36885
Step-by-step explanation:
One particular model had a sticker price of $49,180 when it was new. This means that the initial cost of the car was $49,180. It has just been marked down by 25%. This means the initial price of the car was reduced by an amount. The amount by which the initial price of the car was reduced would be
25/100 × 49180 = 0.25 × 49180 = $12295.
The sale price of the vehicle would be
49180 - 12295 = $36885
What's the radical of the expression
Answer:
√16 or 4
hope this helps!
Write an equation in point slope form of a line passing through 3,6 having a slope of 1/3 ASAP please
Step-by-step explanation:
hbbuijiiiiiiidontttttknowwwwsorryyyyyyyyyyyy
Aiku has one piece of rope that is 45 centimeters long and another that is 367 centimeters long.
How many meters of rope does Aiku have in all?
0.0412 m
0.412 m
4.12 m
41.2 m
Answer:
the 3rd one.
Step-by-step explanation:
Option D is correct, Aiku has a total of 4.12 meters of rope in all.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
To find the total length of the rope in meters, we need to convert the lengths of the two ropes from centimeters to meters and then add them together.
The length of the first rope is 45 centimeters, which is equal to 0.45 meters (since 1 meter = 100 centimeters).
The length of the second rope is 367 centimeters, which is equal to 3.67 meters.
Adding these two lengths together, we get:
0.45 meters + 3.67 meters = 4.12 meters
Therefore, Aiku has a total of 4.12 meters of rope in all.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Find -2 - -0.7 model the expression on the number line by drawing an arrow
Answer:
-1.3
Step-by-step explanation:
number line will go all the way to the left and then 7 to the right. which is -1.3
The value of -2 - -7 as modelled in the attached image is; -1.3
According to the question;
We are required to model the expression on the number line by drawing an arrow.The number line model given can be used to evaluate -2 - -0.7 by simply finding the distance between -2 and -0.7 as in the attached image.
Ultimately, the value of -2 - -0.7 is; -1.3
Read more;
https://brainly.com/question/18329661
Unit test, Part 2: Measurement of Two-Dimensional Figures Please help!!!
Answer:
Step-by-step explanation:
1. Area of the composite figure = Area of the sector + Area of rectangle
Area of sector = (θ/ 360) x [tex]\pi[/tex][tex]r^{2}[/tex]
From the figure,
θ = 30, and r = 65
Area of sector = [tex]\frac{30}{360}[/tex] x [tex]\frac{22}{7}[/tex] x 65 x 65
= 1 1065.55[tex]m^{2}[/tex]
Area of rectangle = length x width
= 65 x 4
= 260 [tex]m^{2}[/tex]
Area of the composite figure = 1 1065.55 + 260
= 11325.55
Area of the composite figure is 11326 [tex]m^{2}[/tex].
2.
Circle sector is a section of a disk encompassed by two radii and an arc. The area of the composite figure is 29.9194 m².
What is a sector of a circle?A circular sector, also known as a circle sector or a disk sector, is a section of a disk encompassed by two radii and an arc, with the minor sector being smaller and the main sector being bigger.
[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]
The area of the composite figure is the sum of the area of the sector of the circle and the area of the rectangle.
The area of the sector of the circle whose angle at the centre of the circle is 30°, while the radius of the circle is the length of the reactangle which is 5.5 cm.
[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]
[tex]= \pi (5.5)^2 \times \dfrac{30}{360^o}\\\\=7.9194\rm\ m^2[/tex]
Thus, the area of the sector of the circle is 7.9194 m².
The area of the reactangle whose length is 5.5 inches while the width is 4 m.
[tex]\rm \text{Area of the rectangle} = Length \times width[/tex]
[tex]= 5.5 \times 4\\\\= 22\rm\ m^2[/tex]
Thus, the area of the rectangle is 22 m².
Now, the total area of the composite figure can be written as,
Area of the composite figure = Area of the sector of circle+Area of rectangle
Area of the composite figure = 7.9194 +22 = 29.9194 m²
Hence, the area of the composite figure is 29.9194 m².
Learn more about Sector of Circle:
https://brainly.com/question/3432053
solve for x and y pls
Ty raised $84 to support the animal shelter, which is 30% of his fundraising goal. What is Ty's fundraising goal?
3. Each year Mark deposited a certain amount of money in an
account which pays an annual intrest rate of r so that at the end of
the each year the balance in the account is mulitpled by growth
factor of x=1 + r. $800 is deposited at the start of the first year, an
additonal $500 is deposited at the start of the next year, and $300
at the start of the following year.
a. Write an expression for the value of the account at the end of
three years in terms of the growh factor x. (2 pt)
b. Dale also deposited money into his own account. His expression
is represented by
1000x5 + 800x4 + 200x2 + 500x + 700
In the past 5 years, Dale made a deposit every year except for
which year? (1 pt)
Answer:
3
Step-by-step explanation:
Breanna currently has a 75 on her homework assignments. Her teacher will
give her 5 additional points for every extra credit assignment she
completes
Find the slope of the line that passes through the points (2,7) and (6,-3)
Answer:
-5/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-3-7)/(6-2)
m=-10/4
simplify
m=-5/2
In a school with 500 students,90% are female. Select all expressions that can be used to find the total number of female students. A. 90/100 x 500 B.90/10 x 500 C.0.90 x 500
Answer:
A)90/100 x 500
C) C.0.90 x 500
Step-by-step explanation:
You can't with B since 90/10 doesn't account for percentage
Brainliest pls
If the purchase price for a house is $242,934, what is the monthly payment if you put 12% down for a 30-year loan with a fixed rate of 6.7%
Answer:
I think it is $585.95.
Step-by-step explanation:
who wants to help me??
Answer:
Function 1 is negative with a slope of -5 and Function 2 is positive with a slope of 3.
Step-by-step explanation:
Slope Formula: (y2 - y1)/(x2 - x1)
Function 1: m = -2 - (-12) / 1 - 3
m = 10 / -2
m = 5 / -1
m = -5
Function 2: m = 3/1
m = 3
Lisa and Mary buy apples and bananas at the store Lisa buys 4 pounds of apples and 3 pounds of bananas and spend $17. Mary buys 5 pounds of apples in 2 pounds of bananas and spend $16. How much does one pound of apples and one pound of bananas cost
Answer:
the bananas cost 3.00 apples cost 5.00
THe table shows a proportinol relationship between x an y.
Which equation describes this relationship.
Y= -1/3x
Y= -3x
Y=x-3
Y= x+4
20 points1 PLEASE HELP
Answer:
its b
Step-by-step explanation:
====================================================
Explanation:
Since x and y are in a proportional relationship, this means that y = kx. This is a direct variation equation.
k is the proportionality constant
To find k, we'll use any nonzero x and y pairing. Let's say we use the second row with x = -3 and y = 1
This leads to
y = kx
y/x = k
k = y/x
k = 1/(-3)
k = -1/3
Or we could use the third row to get
k = y/x
k = 2/(-6)
k = (1*2)/(-3*2)
k = -1/3
We get the same value of k for that row as well. I'll let you check the other rows. You cannot use the first row because dividing by zero is not allowed.
Since k = -1/3, this means y = kx updates to y = (-1/3)x which matches with choice A. So effectively, whatever the x input is, we multiply that by -1/3 to get the y output.
Multiplying by -1/3 is the same as dividing by -3. This means that y = (-1/3)x is the same as y = -x/3