Given:
Polynomial is [tex]3x^2+15x-56[/tex].
To find:
The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.
Solution:
The sum of given polynomial and the square of the binomial (x-8) is
[tex]3x^2+15x-56+(x-8)^2[/tex]
[tex]=3x^2+15x-56+x^2-2(x)(8)+8^2[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]=3x^2+15x-56+x^2-16x+64[/tex]
On combining like terms, we get
[tex]=(3x^2+x^2)+(15x-16x)+(-56+64)[/tex]
[tex]=4x^2-x+8[/tex]
Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is [tex]4x^2-x+8[/tex].
The land John owns covers an area of 2.17 x 104 square miles. The land Sam owns covers an area of 5.34 x 103 square miles. About how many times greater is the area owned by John than the area owned by Sam?
Answer:4.064 times
Step-by-step explanation:
Step 1
Area of Land owned by John =2.17 x 104 square miles
Area of Land owned by Sam= 5.34 x 103 square miles.
When we say about how many times is a quantity greeter than the other we mean that how much is the smaller quantity contained in the larger quantity. and in such cases, we divide.
Area of Land owned by John/Area of Land owned by Sam
=2.17 x 104 square miles/ 5.34 x 103 square miles
=21,700 square miles /5,340 square miles
=4.064 times
Therefore we say that John's owns an area of land by 4.064 times Sam's land.
Josh and Corey met up for lunch. When they were done, Josh traveled 8 blocks east and Corey traveled 4 blocks west. How many blocks away from Josh was Corey?
Answer:
12
Step-by-step explanation:
Since they traveled in opposite directions, we would add the 2 numbers!
8+4=12.
1.
Which of these expressions is equivalent to 3(x - 2)?
A.
3x – 6
B.
3x
2
C.
3x + 2
D.
3x + 6
Answer:
A. 3x - 6
General Formulas and Concepts:
Pre-Alg
Distributive PropertyStep-by-step explanation:
Step 1: Define expression
3(x - 2)
Step 2: Expand
Distribute 3 to both terms: 3x - 6Statements
Reasons
1. ZABC is rt. 2
1. A
Identify the missing parts in the proof.
Given: ZABC is a right angle.
DB bisects ABC.
Prove:mZCBD = 45°
2. DB bisects ABC
2. given
3. def. of rt. 2
3. B
A:
4. m ABD = mZCBD
4. def. of bis.
B:
C:
D:
5.C
5. M_ABD + m2CBD = 90°
6. m2CBD + m2CBD = 90°
7. D
6. subs. prop.
7. add.
8. div. prop.
8. mZCBD = 45°
Answer:
See Explanation
Step-by-step explanation:
The question has unclear information.
So, I'll answer from scratch
Given
ABC = Right angled triangle
DB bisects ABC
Required
Prove that CBD = 45
From the question, we have that:
ABC is right angled at B
So, when DB bisects ABC, it means that DB divides ABC into two equal angles.
i.e.
[tex]CBD = ABD[/tex]
and
[tex]CBD + ABD = 90[/tex]
Substitute CBD for ABD in [tex]CBD + ABD = 90[/tex]
[tex]CBD + CBD = 90[/tex]
[tex]2CBD = 90[/tex]
Divide both sides by 2
[tex]\frac{2CBD}{2} = \frac{90}{2}[/tex]
[tex]CBD = \frac{90}{2}[/tex]
[tex]CBD = 45[/tex]
Hence, it is proved that [tex]CBD = 45[/tex]
Follow the above explanation and use it to answer your question properly
Which expression represents a quadratic expression in standard form? *
5x-4
-21-x^2
-15+2x-x^2
x^2-2x-63
$330 is 12% less than the cost last year. Calculate the cost last year.
Answer:
just look that up and walla insta answer
pleaseeee helpppp :(((((
Answer: With what??? I don't see nun
Answer:
I do not see any files or papers attached.
Step-by-step explanation:
20 POINTS!!
(Also explain the reasoning you used to find the expression)
ILL MARK BRAINLIEST
Answer: your answer is 400 yd's and please pick me for brainliest
Step-by-step explanation:
40 × 10 = 400
9514 1404 393
Answer:
6x^2 +64x yd²
Step-by-step explanation:
The total horizontal width is ...
w = (x -2) +(3x) = 4x -2 . . . yards
So, the width of the downward-extending leg at right is ...
(4x -2) -(2x -2) = 2x
The total vertical height is ...
10 yds + 40 yds = 50 yds
So, the height of the downward-extending leg at right is ...
50 -3x . . . yards
__
Then the empty rectangle at upper right has an area of ...
A = LW = (3x yds)(10 yds) = 30x yd²
and the empty rectangle at lower left has an area of ...
A = LW = (2x -2 yds)(50 -3x yds) = -6x^2 +106x -100 yd²
__
The total area is the product of overall width and overall height, less the areas of the two empty rectangles:
A = (4x -2 yds)(50 yds) -30x yd² -(-6x^2 +106x -100) yd²
A = 6x^2 +64x yd² . . . . . area of the proposed parking lot
If two angles of a triangle measure 20 and 130 degrees, what is the measure of the third angle?
A.) 40°
B.) 50°
C.) 30°
D.) 60°
Answer:
c.) 30 degrees
Step-by-step explanation:
the sum of the angles of a triangle is 180 degrees
so if the third angle was x
then
x=180-(20+130)
x=180-150
x=30 degrees
The measure of third angle is 30 degree.
What is Angle Sum property?The total of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle. A closed shape with both inner and exterior angles, a triangle is created by three line segments.
Given:
Two angles are 20 and 130.
Using Angle sum property of triangle
<1 + <2 + <3 = 180
20+ 130 + <3= 180
150 + <3 = 180
<3 = 180- 150
<3 = 30
Hence, the third angle is 30 degree.
Learn more about Angle Sum property here:
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Need help will mark brainliest
Answer:
AB≅AC (two legs of isosceles triangles are always equal)
6x-14 = 4x+20
2x-14 = 20
2x = 34
x = 17
Base ⇒ 7x-12
= 7(17)-12
= 119-12
= 107
Answer:
x=17, 107
Step-by-step explanation:
Since it is given that the triangle is isosceles, we can make the following equation:
6x-14=4x+20
x=17
To find the base (7x-12), all you have to do is plug in the value of x
7x-12
7*12-12
107
I hope this helps :)
A box of rice costs $2.99 for 62 oz. What is the unit cost for 1 oz?
Answer:
0.04
Step-by-step explanation:
set up a proportion!
sorry if its sloppy, i did this on my laptop :/
Answer:
.48 cents for 1 oz
Step-by-step explanation:
You first take the 2.99 and divide by 62 to get your amount for 1 oz
I WILL GIVE YOU BRAINLIEST AND I WILL PAYPAL YOU 5 BUCKS, PLEASEE JUST SOMEONE ANSWER THIS QUESTION FOR ME
If a figure starts off in a Quadrant I and is reflected along the x-axis and then rotated 180 degrees about the origin, what quadrant will it land on?
Answer:
Quadrant 2
Step-by-step explanation:
It goes over the x axis and rotates 180 which is half a a circle.
Haha you don't got to pay someone to help you bro
Think About the Process The length of a rectangle is twice the width. The area of the rectangle
is 86 square units. Notice that you can divide the rectangle into two squares with equal area. How
can you estimate the side length of each square? Estimate the length and width of the rectangle.
How can you estimate the side length of each square?
OA. Estimate V86.
OB. Estimate V43 .
V 86
OC. Estimate
4.
43
OD. Estimate
4
The rectangle is units long and units wide.
.
(Round to the nearest tenth as needed.)
Answer:
length of each square= [tex]\sqrt{43}[/tex] ≈ 6.6
the length of the rectangle = 2[tex]\sqrt{43}[/tex] ≈ 13.1
width of the rectangle ≈ [tex]\sqrt{43}[/tex] ≈ 6.6
Step-by-step explanation:
please need this asap!! will give brainliest and a thanks to fast answers :)
Answer:
15 days
Step-by-step explanation:
Answer:
27 days
Step-by-step explanation:
Directions - Convert each equation to slope intercept form.
A) 2x + 2y = 10
B) 12 + 4y = -44
Answer: y=-x+5 and y=-14 [tex]2x+2y=10 subtract 2x from both sides\\2x+2y-2x=10-2x \\2y=10-2x divide both sides by 2\\y=5-x rewriting using the commutative property\\y=-x+5[/tex]
Step-by-step explanation:
Slope Intercept form is y=mx+b
Equation A:
Angl is a square. The equation of line NG is Y= 1/2 X - 6. Find the equation of line LG in slope intercept form given that the coordinates of L are (-5,1)
Answer: y=-2x-9
Step-by-step explanation:
If ANGL is a square, then NG and LG are adjacent sides.
Adjacent sides are perpendicular. [Each angle is 90°]
The equation of line NG is [tex]Y=\dfrac12 X-6[/tex].
By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)
slope =[tex]\dfrac12[/tex]
Let slope of LG be n, then
[tex]n\times \dfrac{1}{2}=-1[/tex] [Product of slopes of two perpendicular line =-1]
[tex]\Rightarrow n=-2[/tex]
Equation of a line passes through (a,b) and have slope m is given by :-
[tex](y-b)=m(x-a)[/tex]
Equation of LG :
[tex](y-1)=-2(x-(-5))\\\\\Rightarrow\ y-1=-2x-10\\\\\Rightarrow\ y=-2x-9[/tex] [In intercept form]
The cost in dollars, y, to participate x days in a bike tour is a linear function. Lin's bike tour is described by the equation y = 5x + 50. The cost of Max's bike tour is $120 for a 14-day bike tour. If both Lin and Max take 14-day tours, whose bike tour costs less? Lin Max They cost the same amount
Answer:
They cost the same amount
Step-by-step explanation:
Given
Lin: [tex]y = 5x +50[/tex] where x = 14
Max: [tex]\$120[/tex] for 14 days
Required
Which is less expensive?
Max charges has been given from the question as; $120 for 14 days.
To determine Lin's, we simply substitute 14 for x in [tex]y = 5x +50[/tex]
[tex]y = 5 * 14 + 50[/tex]
[tex]y = 70 + 50[/tex]
[tex]y =120[/tex]
The above result of y shows that Max charges for 14 days is also $120.
Hence, they (Lin and Max) cost the same because they both equal to $120 for 14 days
What is 230% of 90?
A 207
B 237
C 320
D 227
Answer:
207 or option a is the answer
Answer:
Option A) [tex]207[/tex]
Step-by-step explanation:
[tex]230\%[/tex] can be written as [tex]\frac{230}{100}[/tex] which is equivalent to the decimal form [tex]2.3[/tex]. The word of indicates that you will need to use the multiplication operation:
[tex]230\%[/tex] of [tex]90 = 2.3\times90[/tex]
[tex]= 207[/tex]
∴ [tex]230\%[/tex] of [tex]90[/tex] is [tex]207[/tex].
Hope this helps :)
The question is, "Find the volume of the bodies given in the figures below, which have a hole along their entire length." How do I measure it the volume in this case?
As you can see, height is 9cm, length is 12, and width is 18 .
Answer:
1782 cm³
Step-by-step explanation:
First, you measure the volume of the cuboid as a whole which is length x breadth x height, 9 x 12 x 18 = 1944 cm³. Then measure the volume occupied by the space, 3 x 3 x 18 since the hole runs along the entire length = 162 cm³.
Then you subtract the volume occupied by the hole from the volume of the cuboid in total, 1944 - 162 = 1782 cm³
A circular garden has a diameter of 8 feet, and a rectangular garden has side lengths of 5 feet by 9 feet.
which garden is larger
Answer:
rectangular garden
Step-by-step explanation:
what is an y-intercept
Answer:
the point where the line on the graph meets the y-axis
Answer:
What is an y-intercept ?
A y-intercept is in analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x= 0.
Step-by-step explanation:
line of best fit - scatter plot questions
Answer:
d
Step-by-step explanation:
the answer is d cause you can get it later if you know what I mean
a pickup truck travels 45 Mi on 2 and 1/3 gallons of gas how far did it travel on 1 gallon of gas
The pickup truck travels 19[tex]\frac{2}{7}[/tex] Miles in gallon.
What is Unit rate?A unit rate means a rate for one of something.
Given that a pickup truck travels 45 miles on 2[tex]\frac{1}{3}[/tex] gallons of gas,
Since there are 45 miles in 7/3 gallons
So, 45*3/7 in one gallon = 19[tex]\frac{2}{7}[/tex] Miles in one gallon
Hence, The pickup truck travels 19[tex]\frac{2}{7}[/tex] Miles in gallon.
For more references on unit rate, click;
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Jon owns a hamburger stand. He creates a function for the number of dollars in his register (d) in relation to the number of hamburgers (h) he sells. d=3h+8 How much does he charge for a hamburger? 1 dollar 1 dollar 2 dollars 2 dollars 3 dollars 3 dollars 8 dollars
Answer:
The amount charged for a hamburger is $11
Step-by-step explanation:
The function relating the amount d charged with the number of hamburgers is;
d = 3h + 8
The amount charged for a hamburger can be calculated by substituting the value 1 for h
Thus, we have;
d = 3(1) + 8 = $11
One root of is x = 2. What are all the roots of the function? Use the Remainder Theorem. x = 2, x = 3, or x = 4 x = –2, x = –3, or x = –4 x = 1, x = 2, x = 3, or x = 13 x = –1, x = –2, x = –3, or x = –13
Answer:
A. x = 2, x = 3, or x = 4
I got 100%
Answer:
A
Step-by-step explanation:
Because the guy above me is correct
help me pleaseee!!!
the correct answer will get brainly!!
This for algebra 1
HURRY HELP NOW!! Solve for x please !!!!
Answer:
X=9 so D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
70 and 12x + 2 are same- side interior angles and are supplementary, thus
12x + 2 + 70 = 180 , that is
12x + 72 = 180 ( subtract 72 from both sides )
12x = 108 ( divide both sides by 12 )
x = 9 → D
A two umn table with 5 rows. The first column, x, has the entries, negative 2, 0, 2, 4. The second column, y, has the entries, 6, 3.5, 1, negative 1.5. Which equations represent the data in the table? Check all that apply
Answer
A.y-6=-5/4(x+2)
D.y-1=-5/4(x-2)
E.y-3.5=-1.25x
Step-by-step explanation:
The equation which represents the data values given in the table written in slope - intercept form is y = - 1.25x + 3.50
The data given :
X ____ Y
-2 ____ 6
0 ____ 3.5
2 ____ 1
4 ____ - 1.5
We could represent the equation in the form :
y = bx + cb = slope = Rise / Run
b = slope = Rise / Run c = intercept
From the table :
Slope = (y2 - y1) ÷ (x2 - x1) = (6 - (-1.5)) / (-2 - 4) = 7.5/-6 = -1.25
Using any pair of (x, y) values, we can obtain the intercept value :
Using ; (2, 1)
1 = -1.25(2) + c
1 = - 2.50 + c
1 + 2.50 = c
c = 3.50
Therefore, the equation becomes ; y = - 1.25x + 3.50
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Having trouble with this one help appreciated
Answer:
The constant of proportionality is 3.50.
Step-by-step explanation:
We know that when y directly varies with x, such that
[tex]y=kx[/tex]
The number 'k' is called the constant of proportionality.
Given the equation
[tex]y=3.50x[/tex]
as
[tex]y=kx[/tex]
so
[tex]k=3.50[/tex] ∵ [tex]y=kx[/tex]
Here the value of k = 3.50, which is the constant of proportionality.
Therefore, the constant of proportionality is 3.50.
A store owner wants to advertise his store in magazines that most of his shoppers are likely to read. He takes a survey to determine the ratio of females to males that shop at his store each day. The chart represents the number of females and males that shop at his store on average each day. Which statement identifies the ratio of females to males that shop at his store and who he should focu
Answer:
Step-by-step explanation:
Nshsdhdhdhdjsdnddndnd
Answer:
Step-by-step explanation:
5:2