Length of rectangle = x - 7
Width of rectangle = x + 12
We have to find area of rectangle[tex].[/tex]
_________________________________
[tex]:\implies\sf\:Area=Length\times Width[/tex]
[tex]:\implies\sf\:Area=(x-7)(x+12)[/tex]
[tex]:\implies\sf\:Area=x^2+12x-7x-84[/tex]
[tex]:\implies\bf\:Area=x^2+5x-84[/tex]
What value(s) of x will make x2 = 25 true?
Steps to solve:
x² = 25
~Take the square root of both sides
x = ±5
Best of Luck!
Answer:
[tex]\large\boxed{x=5}[/tex]
Step-by-step explanation:
[tex]x^{2}[/tex] = 25
Find the square root of 25 to find the value of x (get rid of the exponent).
[tex]\sqrt{25}[/tex] = 5
[tex]\large\boxed{x = 5}[/tex]
Hope this helps :)
Given a circle with endpoints of a diameter at –10 – 1i and 6 + 11i, answer the questions below. 1. The center of the circle is at ---+ --- i.
The center of the circle is at -2 + 5i.
What are Complex Number?Complex Numbers. Complex numbers are those that are expressed as a+ib, where a and b are actual numbers and I is a fictitious number called a "iota."
Complex numbers are numbers that consist of two parts — a real number and an imaginary number.
Given:
Diameter = –10 – 1 i = (- 10, - 1)
6 + 11 i = (6, 11)
Given that we are aware that these are the diameter's endpoints, it follows that the circle's center is the place that lies midway between the endpoints.
Then,
x = (-10 + 6) / 2
= - 4 / 2
= -2
y = (- 1 + 11) / 2
= 10 / 2
= 5
Hence, the center is located at (- 2, 5).
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Jerry bought a coat on sale for 30% off. The sale price for the coat was $63, what is the regular price for the coat?
Answer:
The original regular price for the coat is $90
Step-by-step explanation:
The given information in the question are;
The percentage that was off (removed) from the sale price = 30%
The sale price at which Jerry bought the coat = $63
Whereby the regular price = P, we have;
P - 30% of P = $63
P - 0.3×P = $63
P×(1 - 0.3) = $63
0.7·P = $63
P = $63/0.7 = $90
Therefore, the regular (original) price for the coat = $90
The coat regular price at which the coat is displayed is at $90.
para alumbrar un parque, se colocan luminarias a lo largo de una longitud de 100 metros, si la primera se coloca en el metro 1, la siguiente en el metro 4, la que sigue en el metro 7, y así sucecibamente. en las siguientes posiciones se colocará una luminaria exepto en el metro: a)13 b)19 c) 21 d)28 ayudaaaaaaa
Answer:
c)21
Step-by-step explanation:
"To light a park, luminaries are placed along a length of 100 meters, if the first is placed in meter 1, the next in meter 4, the next in meter 7, and so on. in the following positions a luminary will be placed except in the subway:
a)13 b)19 c) 21 d)28? "
-------------
Luminaries position:
1, 4, 7, ...It makes an AP with the first term of 1 and common difference of 3
The formula for this AP is:
aₙ = 1 + 3(n-1) = 1 + 3n - 3 = 3n - 2From the given options, only one is not in the same format:
c) 21because
21 = 3n - 2 ⇒ 3n = 23 and n= 23/3 is not an integerAnswer is: c) 13
A rectangle has an area of 4x2 +19x + 12 and a length of (x + 4). What is the width?
The width of the rectangle with an area x² = 19x + 12 is (4x + 3).
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
We know the area of a rectangle is (length×widh).
Given, A rectangle has an area of 4x² + 19x + 12 and a length of (x + 4).
∴ width of the rectangle is = (4x² + 19x + 12)/(x + 4).
Or, we know that the product of two linear equations is a quadratic so,
4x² + 19x + 12.
4x² + 16x + 3x + 12.
4x(x + 4) + 3(x + 4).
(x + 4)(4x + 3).
So, the width of the rectangle is (4x + 3).
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find the slope of the line containing the points (3,-2) and (-1,6)
Answer: the answer is -2
Step-by-step explanation: use slope formula
Name a fourth point that lies in the same plane as points W, S, and Z.
The image consists of a cuboid with VUZY as front side and STXW as back side respectively.
Answer:
Is it y
Step-by-step explanation:
Use the law of conservation of momentum to determine the answer to the
flowing question: In this group, there are two hockey pucks, both with a mass of
0.25 kg. One is traveling at 2 m/s. The other is at rest. What is the momentum of
this group of objects?
Given :
Two hockey of same mass.
One is travelling at a speed of 2 m/s.
Other is in rest or 0 m/s.
To Find :
The momentum of this group of objects.
Solution :
Since , no external force is applied , so momentum will remains same :
Momentum of group of objects ,
[tex]M = mv_1^2+mv_2^2\\\\M = 0.25\times 2^2+0.25\times 0\\\\M=1 \ kg \ m/s[/tex]
Therefore , momentum of the system is 1 kg m/s.
Hence , this is the required solution.
distance, midpoint, and angle measurement a walk in the park
Answer:
Step-by-step explanation:
The distance between to things is how far apart those two things are.
The Distance Formula is
d = √[(x1 - x2)² + (y1 - y2)²]
Midpoint: This is the point that bisects a segment in the middle.
The Midpoint formula is:
M = [(x1 + x2)/2, (y1 + y2)/2]
Angle is a point where two straight lines meet.
Which equation does the graph below represent?
y = 1 x
y = 4x
y = _ 1x
y = -4x
Answer:
Y=-4x
Step-by-step explanation:
Whenever you solve for slope, and the slope is 1, never write 1 in the equation. Write either -x or x. Let's take two coordinates, one which is (0, 0), which is the origin, and (1, -4). To find the slope, we insert the first coordinate and second coordinate values into the equation (Y2-Y1)/(X2-X1). We can insert these coordinates to get (-4 - 0)/(1 - 0), which simplifies to (-4)/1, which further simplifies to -4. Since the Y-intercept is zero, there is no value of B in the equation, which leaves the equation as Y=-4x
–8( — 10и + би — 7) – 10и
Answer:
22и + 56
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Parenthesis (add)
-8(-4и - 7) - 10и
Step 2: Distribute (multiply)
32и + 56 - 10и
Step 3: Combine like terms (и)
22и + 56
Isabel wrote 10 letters to friends each month for x months in a row. Write an expression to show how many total
letters Isabel wrote.
Answer:
10x
X = Months
10 = letters each month
What is the value of 4s2+10 if s=9?
Answer:
82
Step-by-step explanation:
4x9=36x2=72+10=82
Answer:
82
Step-by-step explanation:
Plug in the 9 for s
4(9)2+10
Remember PEMDAS
Parentheses first, then multiply the 2
72+10=82
PLEASE HELP! this is due today!
Answer:
For question 9 = 54
Step-by-step explanation:
54 + 67 = 121
67 - 54 = 13
Answer:1.)k+2x 2.)54 3.) i think is n+n=145
Step-by-step explanation:
Which of the following are equivalent to y’z-4?
Notebo...
Select all that apply.
ay?
2
4
Quarter
Quarter
b. y? (-24)
C.
2
y
d
yy
CE
Answer:
a is the answer because when x⁴ will go up it will be x-4
Valentino wants to estimate the product (5.2)(9.9). Which expression shows each factor rounded to the nearest whole
number?
(5)(9)
(6)(10)
(6)(9)
(5)(10)
Answer:(5)(10)
Step-by-step explanation:
Answer:
(5)(10)
Step-by-step explanation:
Its a Yes or No question but plz explain
Answer:
No
Step-by-step explanation:
f(x)= 4/-x-2
inverse
f-1(x)= -4/x-2
−8y−13=14y+11 what is the answer?
Answer:
y = -12/11
Step-by-step explanation:
-8y - 13 = 14y + 11
-8y - 14y = 11 + 13
-22y = 24
y = 24/-22
y = -12/11
Check:
-8*-12/11 - 13 = 14*-12/11 + 11
96/11 - 13 = -168/11 + 11
96/11 - 143/11 = -168/11 + 121/11 = -47/11
what is the absolute value of 2.3
The absolute value of any positive number is that number itself.
If you take the absolute value of a negative number, then just erase the negative sign and you have your answer.
The absolute value is never negative. It represents distance from that value to 0 on the number line.
So saying |2.3| = 2.3 means the number 2.3 is exactly 2.3 units away from 0 on the number line.
Another example would be |-7| = 7 showing that from 0 to -7 is 7 spaces.
The required absolute number of 2.3 is also 2.3.
GIven that,
An absolute number of the value 2.3 is to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
The absolute number is defined as the outcome of the modulus function is called the absolute number or all natural numbers are examples of absolute numbers.
Here,
For the absolute value,
f(x) = |x|
f(2.3) = |2.3|
(since |x| = x or | -x | = x )
f( 2.3 ) = 2.3
Thus, the required absolute number of the value 2.3 is 2.3 itself.
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73% of what is 7.1?
a. 5.2
b. 518.3
C. 9.7
d. 38

Answer:
Answer is 9.7
I used calculator
Write "k:6" in words in two different ways.
Answer:
k to 6, k over 6.
Step-by-step explanation:
Answer:
k over 6 k to 6
Step-by-step explanation:
: means to and over :) please mark brainliest
Square root of 50 estimated to the nearest integer
Answer:
square root of 50 estimated to the nearest integer is, 7.1
Step-by-step explanation:
step 1. the square root of 50 is 7.07106781186548
step 2. reduce is 7.07
step 3. round 7.07 so you only have one digit after the decimal point to get the answer., 7.1
Answer:
7
Step-by-step explanation:
Consider perfect squares either side of 50, that is
49 < 50 < 64, thus
[tex]\sqrt{49}[/tex] < [tex]\sqrt{50}[/tex] < [tex]\sqrt{64}[/tex] , that is
7 < [tex]\sqrt{50}[/tex] < 8
Since 50 is nearer to 49 than it is to 64, then
[tex]\sqrt{50}[/tex] ≈ 7 ( to the nearest integer )
WHAT IS 10/10 AND 20/20 I NEED HELP ON THIS MULTICATION
Answer:
a whole?????
Step-by-step explanation:
Which expression is equivalent to x to the power of 4 multiply by x to the power of negative 2 is?
16-x=-5
Solve for x!!!!!!!
Answer:
x = 21
Step-by-step explanation:
Given
16 - x = - 5 ( subtract 16 from both sides )
- x = - 21 ( multiply both sides by - 1 )
x = 21
A store employee creates a display of sleds priced at $40 apiece. The store paid $32 for each sled. What is the mark-up percentage
Answer:
Mark-up percentage is 25%.
Step-by-step explanation:
From the question, the store bought each sled at $32 which is the cost price. The sled was display for sale at $40 apiece.
Mark-up percentage = [tex]\frac{selling price - cost price}{cost price}[/tex] x 100%
But,
selling price - cost price = $40 - $32
= $8
So that,
Mark-up percentage = [tex]\frac{8}{32}[/tex] x 100%
= 0.25 x 100%
= 25%
Therefore, the mark-up percentage is 25%.
Answer:
25%
Step-by-step explanation:
is f(x)=c Surjective, Injective or Bijective ?
Answer:
idk p:
Step-by-step explanation:
oof 9:::::::::::::::::::::::::
Answer:
Bijective (I believe)
Step-by-step explanation:
A bijective function, f: X → Y, where set X is {1, 2, 3, 4} and set Y is {A, B, C, D}. For example, f(1) = D.
Which of these expressions are equal to −2i ? Choose all that are correct. A (2−2i)2 B (1−i)(1+i) C (2−3i)−(2−i) D (2−i)−(2−i) E (−4+2i)(1+i) F (1−i)2
Answer:
b and f
Step-by-step explanation:
just took the quiz
Solve 3(x + 1) + 6 = 33.
Plz
Answer:
The answer is b.
Step-by-step explanation:
Just substitute it. :)
3(8+1)+6=33
8+1=9
9*3=27
27+6=33
Answer:
the answer is b or 8
Step-by-step explanation:
just plug all of them and see if it makes sense
Yolanda bought a rose bouquet. The equation C = 1.5r+6 represents the cost, C, of a rose bouquet that has r roses. Yolanda's bouquet
cost $30.
How many roses were in Yolanda's bouquet?
O A 16
B. 20
O c. 24
D. 26
O E 36
Answer:
A. 16 roses
Step-by-step explanation:
30 - 6 = 24
24 divided by 1.5 equal 16
r = 16
hopefully this helps you :)
pls give me brainlest :)