A rectangle has a length of x inches and a width 2 inches less than the length. If the dimensions were doubled, what would be the area, in square inches , of the new rectangle in terms of x
Answer:
Option (4)
Step-by-step explanation:
Area of a rectangle = Length × width
If the dimensions of the given rectangle is doubled,
Area of the new rectangle = 2(Length) × 2(width)
= 4(Length × width)
= 4(x)(x - 2)
= 4[x² - 2x]
= 4x² - 8x
Therefore, Option (4) will be the correct option.
If the product of the two roots of the equation : (k - 2) x2 - 6 X + 12 = 0 is 3, then k =
(a) zero
(b) 4
(c) 6
(d) 38
Answer:
(c)
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0
Then the product of the roots = [tex]\frac{c}{a}[/tex]
(k - 2)x² - 6x + 12 = 0 ← is in standard form
with a = k - 2 and c = 12 , thus
[tex]\frac{12}{k-2}[/tex] = 3 ( multiply both sides by (k - 1) )
12 = 3(k - 2) = 3k - 6 ( add 6 to both sides )
18 = 3k ( divide both sides by 3 )
6 = k → (c)
Graph the line with the equation y = -5x + 2.
This will generate a line quickly dropping from left to right, with an x-intercept of 0.4 and a y-intercept of 2.
See the attached image for the actual graph.
what is the missing term in the factorization?
18m^2-200 2(3m-10)(3m+?)
A). -100
B). -10
C). -3
D). 3
E). 10
Answer:
2 ( 3m -10) (3m+10)
Step-by-step explanation:
18m^2-200
Factor out 2
2 ( 9m^2 -100)
We recognize that this is the difference of squares ( a^2 -b^2) = (a-b)(a+b)
2 ( ( 3m)^2 - 10^2)
2 ( 3m -10) (3m+10)
Which wheelchair would be more difficult to stop? (check one)
more massive wheelchair
_ less massive wheelchair
Answer: less massive wheelchair?
Step-by-step explanation:
Which of the following equations will produce this graph?
Answer:
Insert a photo of the graph???
Step-by-step explanation:
Step-by-step explanation:
what graph? if there is one i dont see it TBH
What is the image of the point (1,8)(1,8) after a rotation of 180 counterclockwise about the origin?
Answer:
(- 1, - 8 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , thus
(1, 8 ) → (- 1, - 8 )
HURRY I NEED HELP ASAP question: The name used to represent 1,000 liters is the
Answers : kiloliter, centiliter, or milliliter.
Answer:
KILOLITER
Step-by-step explanation:
Answer milliletres
Step-by-step explanation:
What’s the domain and range of a horizontal line?
What’s the domain and range of a vertical line?
The horizontal line has infinite domains but a range that has only one value.
The vertical line has a domain is the -intercept, and its range is "all real numbers."
Given that,
The horizontal and vertical lines.
Since we know that,
Linear functions always have infinite domains and ranges.
The exception is when the graph is a horizontal line.
This happens for functions that equal a constant such as f(x) = a. These functions have infinite domains but a range that has only one value, a.
And, A vertical line that is the -axis has an infinite number of -intercepts. A vertical line is not a function;
Hence its domain is the -intercept, and its range is "all real numbers."
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PLEASE HELP ME I NEED THE ANSWER ASAP THANK YOU SO MUCH!!
dark blue is the answer
Marisa got an 85% on her math quiz. She had 34 questions correct. How many questions were on the quiz?
Answer:
40
Step-by-step explanation:
Set up a window pane method to solve this.
That picture is called the window pane method.
36 would go in the A section because it's part of the test questions not all of them. 100 would stay in its spot and 85% goes in the percent spot. The equation would look like this: 36 times 100 divided by 85 = 40
Evaluate x – y if x = 5 and y = -2.
Answer:
7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
x - y
x = 5
y = -2
Step 2: Evaluate
Substitute: 5 - -2Simplify: 5 + 2Add: 7Orange
A package of 15 party hats
costs $9.75. At this rate, what is the
cost of each party hat
in dollars and cents?
divide 9.75 by 15 equals sixty ixty five cent's
If triangle JKL~ Triangle MKN, find the value of x
Answer:
x = 14
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{KL}{KN}[/tex] = [tex]\frac{JL}{MN}[/tex] , substitute values
[tex]\frac{32}{12}[/tex] = [tex]\frac{3x-2}{x+1}[/tex] ( cross- multiply )
12(3x - 2) = 32(x + 1) ← distribute both sides
36x - 24 = 32x + 32 ( subtract 32x from both sides )
4x - 24 = 32 ( add 24 to both sides )
4x = 56 ( divide both sides by 4 )
x = 14
For the given triangles ΔJKL ≈ ΔMKN, the value of x is, 4
What is similarity of triangles?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"
Given that,
One right angle triangle, ΔJKL
one segment MN which is intersecting sides KJ & KL
ΔJKL has one similar triangle inside, which is ΔMKN
Triangle ΔJKL and ΔMKN are similar,
So, we can say ΔJKL ≈ ΔMKN
And it is known that
for similar triangles, ratio of lengths of sides are equal for similar triangles
so, KN/MN = KL/JL
⇒ (X + 1)/12 = (3X -2)/32
⇒ 32X + 32 = 36X - 24
⇒ 32 + 24 = 36X - 32X
⇒ 56 = 14X
⇒ X = 4
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Solve the proportion:
Answer:
15
Step-by-step explanation:
Answer:
x = 15
Step-by-step explanation:
cross multiply
9*10=90
90/6=15
The shoes were $175. They are now 10% off. How much are they now?
Sale Price = $157.5 (answer). This means the cost of the item to you is $157.5. You will pay $157.5 for a item with original price of $175 when discounted 10%. In this example, if you buy an item at $175 with 10% discount, you will pay 175 - 17.5 = 157.50 dollars.
Hope this helps!
The selling price for a used car at Smith's Auto Market was $17,700. Smith marks up the buying price by 18%. What was the buying price of the car?
$
Answer:
$20,886
Step-by-step explanation:
17,700/100=3186
3186+17,700=20,886
Which angle in XYZ has the largest measure?
Answer: A is the correct answer
Step-by-step explanation:
Answer:
angle x is the biggest so A
Find the slope of this line. *
(5 puntos)
-1
1
3
5
y
-2
0
2
4
Answer:
1
Step-by-step explanation:
Slope = y2 - y1 / x2 - x1 so, (0 - (-2)) / (1 - (-1)) == 2/2 = 1
Help is...appreciated.
Answer:
53%
Step-by-step explanation:
all quadrilaterals are polygons true or false
Answer:
True
Step-by-step explanation: because they have 4 sides
All quadrilaterals are polygons because they are 2-dimensional closed shapes made up of interconnected straight lines, with four sides and angles.
Hence the given statement is true.
Sincw we know that,
A polygon is defined as a 2-dimensional closed shape made up of straight lines that are interconnected with each other at their endpoints. A Quadrilateral is a polyhedron that consists of four straight sides or edges.
The term quadrilateral is derived from two Latin words "quadri" meaning four and "latus" meaning sides.
It is important to note that not all polygons are quadrilaterals, but all quadrilaterals are indeed polygons.
Some examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses.
These shapes share certain properties such as having four sides and angles, with the sum of their interior angles adding up to 360 degrees.
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Brody bought 22 chicken wings for $37.40. If Brody spent $30.60, how many chicken wings did he buy?
the probability of rolling an even number with a six-sided number cube is about 1/2. Choose the likelihood that bests describes the probability of this event.
Answer:
50/50 chance
Step-by-step explanation:
Simple
Answer:
50% chance likely
Step-by-step explanation:
Make a reasonable estimate for the situation. A snail moves at a speed of 3.395 inches per minute. If the snail keeps moving at this rate, about how many inches will it travel in 6.187 minutes?
Answer:
Distance = 21.0049 inches
Step-by-step explanation:
Given the following data;
Speed = 3.395 inches per minute.
Time = 6.187 minutes
To find the distance;
Distance = speed * time
Substituting into the equation, we have;
Distance = 3.395 * 6.187
Distance = 21.0049
5+9(1)+2^2
due in 4 mins please show work
Answer:
The answer is 18
Step-by-step explanation:
5+9(1)+2^2
=5+9+4
=18
Answer:
18
Step-by-step explanation:
9*1=9
2^2=4
9+4+5=18
I need to find the slope and b
Y=mx+b
HELP ME
Answer:
[tex]y=-\frac{4}{3}x+20[/tex]
Step-by-step explanation:
stupid enough
y=mx+b
[tex]\frac{y1-y2}{x1-x2}[/tex]
slope = 16-12/3-6
-4/3
[tex]y=-\frac{4}{3}x+b[/tex]
plug in x and y
16=-4/3(3)+b
b=20
RedOrder the Numbers from least to greatest
8.1 x 10-5
6.5 x 10-4
5.2 x 10-3
Please explain how you answered it along with your answer - thanks
Answer:
B
Step-by-step explanation:
Because you have to separate the equation. So you get [tex]\frac{2x-4}{3}[/tex]>[tex]\frac{1}{5}[/tex] And [tex]\frac{2x-4}{3}[/tex]<6
Then you have to solve for x so you get x>[tex]\frac{23}{10}[/tex] and x>11
Then you find the intersection so the answer is B
3x + 5x - 1 expression
Answer:
8x - 1
Step-by-step explanation:
Combine like terms. 3x and 5x are like terms.
3x + 5x -1 = 8x - 1
I need help someone help me plz
Answer:
the answer to x is 4
Step-by-step explanation:
.