The possible values of x of a rectangle with length and width of x + 3 and 2x - 17 respectively is 15
Area of a rectangle
area of a rectangle = lw
where
l =lengthw = widthTherefore,
length = x + 3
width = 2x - 17
area = 234
Therefore,
234 = (x + 3)(2x - 17)
2x² - 17x + 6x - 51 = 234
2x² - 11x - 51 - 234 = 0
2x² - 11x - 285 = 0
Therefore,
(x - 15)(2x + 19)
Hence,
x = 15 or x = - 19 / 2
we can only use positive values. Therefore, x = 15
learn more on rectangle here: https://brainly.com/question/12440187
#SPJ1
Please help I might fail!!
Can anyone help me please?
Answer:
x=35; y=55; z=55
Step-by-step explanation:
x+y=90; z+x=90
z+35=90
z=90-35= 55
x=90-55= 35
y= 90-35 =55
48 people attended the Sunday matinee to watch a film. .Three over 8 of the people went to see a romantic comedy. .One over six of the people went to see an action movie. .The remaining people saw a horror movie. How many people saw a horror movie?
Answer:
22 people saw an horror movie
Step-by-step explanation:
Total people who attended the Sunday matinee = 48
People who saw romantic comedy = 3/8 of 48
= 3/8 × 48
= (3*48) / 8
= 144 / 8
= 18 people
People who saw action movie = 1/6 of 48
= 1/6 × 48
= 48/6
= 8 people
People who saw horror movie = x
Total people who attended the Sunday matinee = People who saw romantic comedy + People who saw action movie + People who saw horror movie
48 = 18 + 8 + x
48 = 26 + x
Subtract 26 from both sides
48 - 26 = 26 - 26 + x
22 = x
x = 22 people
22 people saw an horror movie
Given u = ⟨1, 3⟩, v = ⟨2, 1⟩, and cos(ϴ) = StartFraction StartRoot 2 EndRoot Over 2 EndFraction , where ϴ is the angle between the vectors, what is the scalar projection uv and the dot product u · v?
Answer:
B?
Step-by-step explanation:
Answer:
b.
Step-by-step explanation:
edge 2020
Fill in the missing numbers:
8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, etc.
Answer:
20 2 3 6 10 998778889899999
Round 639,121 to the nearest ten thousand.
Answer:
640,121
Step-by-step explanation:
the first blanks options are -2 , -1/2 , 2 , 1/2
The seconds are -5 , -3 , 5, 3
the thirds are -2, -1, 2, 1
and the fourths are -2, -1, 2, 1
Answer:
equation 1
y = -2x
equation 2
y = x-3
Solution to both
(1,-2)
Step-by-step explanation:
We need to get the equations of both lines
General form is;
y = mx + c
where m is slope and c is the y-intercept
Table 1
since we have a point 0,0; the y-intercept here is zero
Let us get the slope. We can do this by selecting any two points
m = (y2-y1)/(x2-x1)
m = (2-10)/(-1+5) = -8/4 = -2
So the equation of the first line is;
y = -2x
Table 2
we get the slope
m = (4+2)/(7-1) = 6/6 = 1
The partial equation is;
y = x + c
To get c, we select any two point and substitute
4 = 7 + c
c = 4-7
c = -3
So the equation is;
y = x-3
To get the solution to both systems, we equate the y
-2x = x - 3
-2x-x = -3
-3x = -3
x = -3/-3
x = 1
To get y, we substitute;
recall; y = -2x
y = -2(1)
y = -2
Solution to the system is;
(1,-2)
general sales tax in pakistan is a
Answer:
17percent
Hope this helped have an amazing day!
Write an equation of the line that passes through (5,9) and is perpendicular to the line y=-1/3x+1
An Auditorium has 29 rows, with 115 chairs in each rows. How many chairs does the auditorium have in all? Show your work
Answer:
3335 chairs
Step-by-step explanation:
To find the total number of chairs, multiply 29 by 115, since there are 29 rows that have 115 chairs:
29(115)
= 3335
So, the auditorium has 3335 chairs in all
Answer: 3335 Chairs
Work: So, the question already gave us how many seats are there per row, now we need to find out how many are there in 29 rows. You multiply 115 by 29 to find out how many seats are there, and you get 3335 chairs. I hope this helps you, and stay safe. :)
A building in a shape of a cube has a width of 100 ft., a length of 100 ft., and a height of 100 ft. An architect wants to build a scale model of the building that is 10% smaller in volume. What is the height of the new building? Round to the nearest hundredth.
A) 90.75 ft.
B) 95.25 ft.
C) 96.55 ft.
D) 99.25 ft.
Answer: A) 90.75 ft.
Step-by-step explanation: because if we cut 10 from 100 we will get 90
pls help i just really need help like rn!!TYYY
by the definition of supplementary angles, the base angles of the top isosceles triangle have the measure of
Answer:
128
Step-by-step explanation:
Top Triangle
Let the base angles of the top triangle = y
y + 102 = 180
y = 78
The vertex
Is found by adding the two base angles together and subtract that from 180
y + y + vertex = 180
78 + 78 + vertex = 180
156 + vertex = 180
vertex = 180 - 156
vertex = 24 degrees
Bottom Triangle
Because the base angles are connected by a vertically opposite angle on the bottom triangle, both base angles are 26
Therefore 26 + 26 + x = 180
52 + x = 180
x = 180 - 52
x = 128
PLSEASE HELP
PLSPLOSLSKSOSKS
Answer:
Number 1
Step-by-step explanation:
Because the absolute Value of A is less then the value of B
Please help....thanks....will give brainliest!!! <3
Answer:
10.9
Step-by-step explanation:
[tex]4.34^{2} - \sqrt{96.1} + 3.51 \div 1.87[/tex]
[tex]= 18.8356 - 9.80306074652 + 1.87700534759[/tex]
[tex]= 10.9095446011[/tex]
[tex]\approx 10.9[/tex] (to 1 sig. fig.)
Hope this helped!
Answer:
10.9
I hope this helps!
Use the information provided to write the equation of each parabola in vertex form and intercept form.
A company has a monthly profit, or gain, of $6,400. The next month they have a loss of $4,700.
What expression would you use to find the difference in profit between the two months?
-4,700 - 6,400
6,400 - 4,700
6,400 - (-4,700)
4,700 - 6,400
Answer:
6,400-4,700
Step-by-step explanation:
Explain the difference between equilateral and equiangular :)
An equilateral polygon has congruent sides, like a rhombus.
An equiangular polygon has congruent interior angles, like a rectangle.
In other words: Equilateral doesn't necessarily have congruent INTERIOR angles while equiangular does have/need congruent interior angles.
d) The permeter of the recthngle shown is 30 inches
Height is 12 Length is 4x-6
Part A Write & solve an equation to find the vale of x
Equation
Solve and answer
Part B What is the area of the rectangle?
Answer:
Step-by-step explanation:
P = 2(w + l)
A = lw
~~~~~~~~~~~~~
Part A:
2[(4x - 6) + 12] = 36
8x- 12 + 24 = 36
8x = 36 - 12
x = 3
Part B:
A = 6 × 12 = 72 inch.²
y-28=95
y-28+ ? =95+28
y=?
Answer:
Step-by-step explanation:
y -28 = 95
y-28 + 28 = 95 +28
y=123
dummy ;)
Imani is taking apart a beaded necklace to make 4 identical bracelets. The necklace has 48 beads. How many beads will Imani use for each bracelet?
Answer:12 beads
Step-by-step explanation: If she has 48 beads and wants to make 4 bracelets, you will have to divide 48 by 4 which gives you 12
Ten years ago, the population at Lincoln High School was about 2,000 students. Since then, the population has increased by 25%.
What is the new population now?
Answer:
2,500 students
Step-by-step explanation:
If the population has increased by 25%, the total population of the school is now 125% of what it used to be. Then to figure it out, you find out 125% of 2000 which is 2,500 students!
(Hope that helps :):):)
A racing car travels at a speed of 193 miles per hour.
Work out an estimate for the number of seconds the racing car travels in 10 miles.
Answer:
The estimate is 186.5 seconds.
Step-by-step explanation:
To calculate the estimate of the time the racing car will take to travel 10 miles, we have to first find the ratio of the original distance to the requested distance.
The number of seconds in an hour is [tex]60 \cdot 60[/tex] seconds, which equals to 3600 seconds.
[tex]\frac{193}{10} = \frac{3600}{x}[/tex]
[tex]19.3 = \frac{3600}{x}[/tex]
[tex]x = \frac{3600}{19.3}[/tex]
[tex]x \approx 186.5[/tex]
Hence, the estimate is 186.5 seconds.
Hope this helped!
find the slope of the the line graphed
Answer:
[tex]m=\frac{-5}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (1, 1)
Point (3, -4)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-4-1}{3-1}[/tex]Subtract: [tex]m=\frac{-5}{2}[/tex]Which point best represents t? Explain your answer.
Answer:
The answer is D because the letter B is a bit over 3 and 3.14 is pi
Step-by-step explanation:
Find the circumference of a circle whose area
is 38.5 m²
Answer:
12.41m
Step-by-step explanation:
Well, if we divide by the hypotenuse of the Pythagorean Theorem due to the angle created between the divisions on the scale between the 8th and 7th degree law of the Mathematical Institution of Nigeria, Ghana and Ethiopia (MINGE), then we get the result of 12.41.
Which set of ordered pairs does not represent a function? { ( − 3 , − 1 ) , ( 8 , − 1 ) , ( 0 , − 5 ) , ( − 9 , − 2 ) } {(−3,−1),(8,−1),(0,−5),(−9,−2)} { ( 5 , 9 ) , ( − 3 , − 5 ) , ( 0 , 4 ) , ( − 9 , 9 ) } {(5,9),(−3,−5),(0,4),(−9,9)} { ( 9 , 0 ) , ( − 5 , 4 ) , ( 5 , 0 ) , ( 6 , 3 ) } {(9,0),(−5,4),(5,0),(6,3)} { ( 2 , 8 ) , ( 2 , 1 ) , ( − 9 , − 5 ) , ( − 8 , 9 ) } {(2,8),(2,1),(−9,−5),(−8,9)} Submit Answer
Answer:
[tex]\{(2,8),(2,1),(-9,-5),(-8,9)\}[/tex] is not a function
Step-by-step explanation:
Given
[tex]\{(-3,-1),(8,-1),(0,-5),(-9,-2)\}[/tex]
[tex]\{(5,9),(-3,-5),(0,4),(-9,9)\}[/tex]
[tex]\{(9,0),(-5,4),(5,0),(6,3)\}[/tex]
[tex]\{(2,8),(2,1),(-9,-5),(-8,9)\}[/tex]
Required
Which is not a function
A function is of the form [tex](x,y)[/tex]
Assume a function is:
[tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3).....,(x_n,y_n)\}[/tex]
In simple terms:
For an ordered pair to be regarded as a function, no x value must be repeated
Analyzing the options:
1. [tex]\{(-3,-1),(8,-1),(0,-5),(-9,-2)\}[/tex]
This is a function because none of the x values (-3, 8, 0 and -9) appeared more than once
2. [tex]\{(5,9),(-3,-5),(0,4),(-9,9)\}[/tex]
This is a function because none of the x values (5, -3, 0 and -9) appeared more than once
3. [tex]\{(9,0),(-5,4),(5,0),(6,3)\}[/tex]
This is a function because none of the x values (9, -5, 5 and 6) appeared more than once
4. [tex]\{(2,8),(2,1),(-9,-5),(-8,9)\}[/tex]
This is not a function because one of the x values (2) appeared more than once.
i.e.
[tex](2,8)[/tex] and [tex](2,1)[/tex]
evaluate n²+5 when n=3
Answer:
14
Step-by-step explanation:
When you sqaure a number you multiply it by itself once so it would be (3x3) + 5. Rmemeber PEMDAS, so you multiply 3x3 first to get 9 and then you add 5 to get 14.
Write an equation of the line that passes through (–2, 8) and (–4, –4).
PLEASE HEEEELP MEEE! PLEASE ACTUALLY PROVIDE AN EXPLANATION! BEST EXPLANATION AND ANSWER GETS BRAINLIEST! THANKS
Answer:
sorry bro
Step-by-step explanation:
Answer:
Y=6x+20
Step-by-step explanation:
An alarm rings 8 times in 5 seconds.What is the unitr rate,in rings per second?
Answer: the answer is 1.6
Step-by-step explanation: 8 divided by 5 is 1.6