Answer:
Step-by-step explanation:
(x - 3)(x + 2) (x + 4) =
x^3+3x^2-10x-24
Answer:
x^3+3x^2-10x-24
Step-by-step explanation:
(x - 3)(x + 2) (x + 4)
multiply the first two together first
(x^2+2x-3x-6)(x+4) add like terms first
(x^2-x-6)(x+4)
then multiply
x^3+4x^2-x^2-4x-6x-24
add like terms
x^3+3x^2-10x-24
NEED HELP ASAP WILL GIVE BRAIN
Review the diagram.
On a coordinate plane, a vector labeled 120 meters forms angle 25 degrees with the x-axis. It goes to point mirror 1. Another vector labeled 90 meters goes from point mirror 1 to mirror 2. It forms angle 20 degrees with a horizontal line. Point mirror 2 goes to (0, 0).
A laser beam is aimed 25° from horizontal at a mirror 120 m away. The beam bounces off the mirror and continues for an additional 90 m at 20° above horizontal until it hits a target, mirror 2. What is the distance between the origination point and the target?
approximately 85 m
approximately 122 m
approximately 174 m
approximately 194 m
Answer:
Vectors are usually described in terms of their components in a coordinate system. Even in everyday life we naturally invoke the concept of orthogonal projections in a rectangular coordinate system. For example, if you ask someone for directions to a particular location, you will more likely be told to go 40 km east and 30 km north than 50 km in the direction 37° north of east.
In a rectangular (Cartesian) xy-coordinate system in a plane, a point in a plane is described by a pair of coordinates (x, y). In a similar fashion, a vector
→
A
in a plane is described by a pair of its vector coordinates. The x-coordinate of vector
→
A
is called its x-component and the y-coordinate of vector
→
A
is called its y-component. The vector x-component is a vector denoted by
→
A
x. The vector y-component is a vector denoted by
→
A
y. In the Cartesian system, the x and y vector components of a vector are the orthogonal projections of this vector onto the x– and y-axes, respectively. In this way, following the parallelogram rule for vector addition, each vector on a Cartesian plane can be expressed as the vector sum of its vector components:
Step-by-step explanation:
Answer:
approximately 85 m
Step-by-step explanation:
use the law of cosines
x²=120²+90²-2(120)(90)cos(45)
*120 & 90 are given values
*45 is from 25+20; bcuz of alternate interior angles, the other angle from mirror 1 is 25 degrees, making the total 45 degrees
x=√120²+90²-2(120)(90)cos(45)
x=85, the distance btwn origin point and mirror 2
what is the measure of mid-segment DE?
a. 13
b. 6
c. 10
d. 18
Answer:
A.13
Step-by-step explanation:
We can tell that a measurement of the mid segment DE = 13 because of what the length of the line BC equals... The length of BC = 26 this means that the mid segment equals 13 because 26 divided by 2 equals 13... The mid segment we'll be half the half length of the other line given. Hope this helps!
what is the answer to this solve 3x-7=32
Answer:
Step-by-step explanation:
How to solve your question
Your question is
3
−
7
=
3
2
3x-7=32
3x−7=32
Solve
1
Add
7
7
7
to both sides of the equation
3
−
7
=
3
2
3x-7=32
3x−7=32
3
−
7
+
7
=
3
2
+
7
3x-7+{\color{#c92786}{7}}=32+{\color{#c92786}{7}}
3x−7+7=32+7
2
Simplify
3
Divide both sides of the equation by the same term
4
Simplify
Solution
=
1
3
If a person who weighs 70 kilograms has a brain that weighs 1.4 kilograms, what percent of the persons body weight is brain
Answer:
the answer would be around 1.5 to two percent
Step-by-step explanation:
You rotate triangle ABC, with vertices A(-3, 1), B(-2, 2), and C(-3, 4), 90° counterclockwise about the origin to form triangle A′B′C′. Match each vertex of triangle A′B′C′ to its coordinates.
Answer:
The new vertices will be: A'(-1,-3), B'(-2,-2) and C'(-4,-3)
Step-by-step explanation:
Rotation about the origin depends on the degrees the point is being rotated and direction of rotation.
Let (x,y) be a point on the xy-coordinate plane,
When this point will be rotated about origin 90 degrees counter clockwise, the coordinates of the point become (-y,x) which means that the coordinates will be exchanged and y will be negated.
Given vertices of triangle are:
A(-3, 1), B(-2, 2), and C(-3, 4)
After rotation the new points will be:
A(-3, 1) => A'(-1,-3)
B(-2,2) => B'(-2,-2)
C(-3,4) => C'(-4,-3)
Hence,
The new vertices will be: A'(-1,-3), B'(-2,-2) and C'(-4,-3)
Last year, there were 380 students at Woodland Middle School. This year, the student population will increase by 5%. What will be the school’s increased student population?
Which was a challenge for the earliest permanent settlements?
Flooding allowed villagers to expand their property.
Fire risk increased due to the closeness of buildings.
Disease was a threat because of the close proximity to the rivers.
Droughts were a challenge that villagers overcame with technology..
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
If a cyclist rides at a constant rate of 24 miles per hour, how long would it take the cyclist to ride 120 miles?
Answer:
it is 4.25
Step-by-step explanation:
divide 120 by 24 and you will get 4.25
A square with a side of y is transformed into a rectangle by adding 10 to one side and then subtracting 10 from another. Express the new area as a polynomial
Answer: [tex]y^2-100.[/tex]
Step-by-step explanation:
if we have a square with sides 'y' units,
then, its breadth = length = y
If we add 10 to one side it will become (y+10) (longer one) and subtract 10 from another, then it will become (y-10) (shorter one).
Area of rectangle = breadth x length
So, area of rectangle [tex]= (y+10)(y-10)[/tex]
[tex]= y^2-10^2=y^2-100\ \ \ \ \ [(a-b)(a+b)=a^2-b^2][/tex]
Hence, the new area as a polynomial = [tex]y^2-100.[/tex]
Emmett and Charlotte are both selling cookie dough for a fundraiser. Although Emmett has
already sold 2 tubs, Charlotte hasn't sold any yet. If Emmett starts selling 7 tubs per day and
Charlotte begins selling 9 tubs per day, they will eventually sell the same amount of cookie
dough. How many tubs will each sell? How many days will that take?
Answer:
Step-by-step explanation:
7x+2=9x
2=2x
x=1
1 day, they'll each sell 9 tubs
A circle is divided into 6 equal-sized sections. The sections are rearranged to form a shape that approximates a parallelogram, as shown. height (n) base (6) Which of the following can the expression bh be used to approximate? A the area of the circle ® the circumference of the circle © the area of one section of the circle o the perimeter of one section of the circle
Answer:
I think its the perimeter of one section of the circle.
Step-by-step explanation: since the circle is divided you should calculate the area of one section of the perimeter
hope this helps
Answer (D.)
Step-by-step explanation:
WHAT IS HELP PLEASE
6x2 -2x3 +x4 =?
DONT ANSWER TO GET QUICK POINTS
Answer:
i told you in the comment it equals 7
Step-by-step explanation:
Which of the following values are solutions to the inequality 9 > - 3 - 4x
Answer:
the answer is 12
Step-by-step explanation:
Answer:
x>−3
Step-by-step explanation:
The drop down options are explicit and recursive.
Answer:
Recursive
Explicit
Step-by-step explanation:
An arithmetic sequence an be represented by a recursive rule which gives the first term and defines the nth term by relating it to the previous term, or by an explicit rule which defines the nth term as a function of n.
The recursive rule is that we have the initial term. To find the subsequent term, we will take that previous term and add it to our common difference.
Hence, we are relating the previous terms to define the nth term.
For the explicit rule, we simply have a function of n. To find the nth term, we can substitute our desired term n for n and evaluate.
Help!
Crater Lake in Oregon in shaped like a circle with a diameter of about 5.5 miles. What is the area of the surface of crater lake?
Answer: 23.74625 miles
What is the solution to -2( 1 - 4x ) = 3x + 8
Answer:
x = 2
Step-by-step explanation:
Given
- 2 (1 - 4x) = 3x + 8 ( distribute parenthesis on left side )
- 2 + 8x = 3x + 8 ( subtract 3x from both sides )
- 2 + 5x = 8 ( add 2 to both sides )
5x = 10 ( divide both sides by 5 )
x = 2
COOKING The instructions on a box of chicken patties state that one patty should be cooked for 2.5 minutes
in the microwave. If more than one patty is cooked, an additional 1.5 minutes should be added per patty.
Write an equation in slope-intercept form to model the cooking time in minutes, y, for x patties.
Answer:
y=1.5x+2.5 ,
y=32x+52 ,
y=32x+2.5 ,
or
y=1.5x+52
The equation in slope-intercept form to model the cooking time in minutes, y, for x patties is y = (3/2)x + 1.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, On a box of chicken patties state that one patty should be cooked for 2.5 minutes in the microwave.
If more than one patty is cooked, an additional 1.5 minutes should be added per patty.
So, The equation in slope-intercept form to model the cooking time in minutes, y, for x patties.
If we write this as y = 1.5x + 2.5 and put x = 0 , y = 2.5 which is not satisfying the given statement.
∴ y = 1.5x + (2.5 - 1.5). (the additional patty cooking time).
y = 1.5x + 1.
y = (3/2)x + 1.
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Which division problem would have an estimated quotient of 15 if the divisor and dividend were rounded to the nearest whole number? What is the right option?
Answer:
90.24 divided by 6.3
Step-by-step explanation:
For reaching to the answer, we have to test each of the options given
The first option says that the divisor and dividend is 90.24 and dividend is 6.3
Now if we rounded it
So it would be 90 and 6
So, the quotient is
= 90 ÷ 6
= 15
Hence, the first option is correct
i.e. 90.24 divided by 6.3
And, all the other options are wrong
6y+29 what's the constant?
Answer:
29
General Formulas and Concepts:
Algebra I
Terms, Constants, Leading Coefficients, VariablesStep-by-step explanation:
Any number multiplying to a variable will be a term, but not a constant.
A constant is a term, just one without variables.
We are given 6y + 29. 6y would be a term and 29 would be another term. Since 29 has no variables, it will be the constant.
So this guy has been asking me for a while to go eat with him. (I would but my parents are veryyy strict) I was like I have school Tuesday and during my lunch we should go. Andd I'm scared... Idkkk if I should go or not helpppp
Need answers ASAP!!
I have 3 hours
Answer:
lolololol
Step-by-step explanation:
idek
Which expression is NOT equivalent to 12x + 18y?
A) 6 (2x) + 18y
B) 6 (2x + 3y)
C) 6x + 9y + 6x + 9y
D) 3 (4x + 18y)
Answer:
D
Step-by-step explanation:
3 (4x + 18y) means that 3 will multiply 4x and 18y factor which results to 12x + 54y
hence dissimilar to the original expression
Describe the error made in subtracting the two rational expressions shown
Answer:
The minus sign between the two fractions was not distributed correctly.
Step-by-step explanation:
The error made in this solution of rational fractions' subtraction is that the minus sign between the two terms will change the signs of numerator of second fraction so the numerator in the answer will be 3.
The correct solution is:
[tex]\frac{1}{x-2} - \frac{1}{x+1}\\=\frac{x+1}{(x-2)(x+1)} - \frac{x-2}{(x-2)(x+1)}\\=\frac{x+1-(x-2)}{(x+1)(x-2)}\\=\frac{x+1-x+2}{(x+1)(x-2)}\\=\frac{3}{(x+1)(x-2)}[/tex]
Hence,
The error was in the last step of subtraction.
Answer:
You must subtract all terms of the numerator being subtracted out, not just the first term.
The negative 2 should have been subtracted out to get a numerator of x+1 - x+2
The simplified numerator of the difference should be 3, not –1.
Step-by-step explanation:
got it right on edge 2020
A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 9-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? Before you try that problem, answer the question below. How many inches of ribbon does the dressmaker have, in total?
Answer:
She can cut 180 (9 - inch) pieces
Step-by-step explanation:
A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 9-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? Before you try that problem, answer the question below.
Step 1
How many inches of ribbon does the dressmaker have, in total?
1 roll of ribbon = 9 feet
15 rolls of ribbon = x feet
x = 15 roll × 9 feet
x = 135 feet
Converting from Feet to inches
1 foot = 12 inches
135 feet = x inches
Cross Multiply
x = 135 × 12 inches
x = 1620 inches
The dress maker cuts 9 inches each
How many 9-inch pieces can the dressmaker cut from 15 of these rolls of ribbon?
15 rolls of ribbon = 1620 inches of ribbons
Hence: = 1620 inches/9
= 180 pieces
She can cut 180 (9 - inch) pieces
How many 2 ¼ inch ribbons can you make from a piece of fabric that is 3 feet wide?
Answer:
0.75
Step-by-step explanation:
Ok so we all know that 1/4 is equal to 0.25 as 1/2 is equal to 0.50 and as 3/4 is equal to 0.75. So tell me. after converting the 1/4 to a decimal what do you get? .25 right or just to not confuse you 0.25, so then after converting it to a decimal bring down that whole number which is 2. Put the 2 in the place of that 0 and you get 2.25, after that divide 2.25 by 3. which would equal 0.75. try this and see if im right
A roadside vegetable stand sells pumpkins for $5 each and tomatoes for $3 each. The
total sales on a certain day was $98. If they sold 10 pumpkins, write and solve a linear
equation to find the number of tomatoes sold.
Answer:
Step-by-step explanation: I need help
You use a pair of shoes to measure a distance. The shoes are 10 3/4 inches long. The distance is equal to the length of 12 of the shoes. What is the distance?
Answer:
10 ft 9 in
Step-by-step explanation:
If you use a pair of shoes to measure a distance and the distance is equal to the length of 12 of the shoes, the distance is 129 inches.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, the shoes are 10 3/4 inches long. The distance is equal to the length of 12 shoes.
We can utilize multiplication for a number of common tasks, such as figuring out how much it will cost to buy several identical things, calculating sales tax, and figuring out area and other geometric measurements.
The total distance according to the given condition is,
= 12 × 10 3/4 inches
= 12 × 43/4
= 129 inches
Thus, if you use a pair of shoes to measure a distance and the distance is equal to the length of 12 of the shoes, the distance is 129 inches.
Learn more about the arithmetic operation here:
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how many whole numbers are there from 24 to 721
Answer:
697
Step-by-step explanation:
Answer:
698
Step-by-step explanation:
(721-24)+1= 698
Parker's family took a road trip to Niagrara Falls. Parker fell asleep after they had travelled 198 miles. If the total length of the trip was 440 miles, what percentage of the total trip had they travelled when Parker fell asleep?
Answer:
242
Step-by-step explanation:
because i need trust in my life
Answer:
45%
Step-by-step explanation:
this time trust me everyone here
the slope of (2,11) and (10,4)
Answer:
-7/8
Step-by-step explanation:
the formula for calculating slope for the given coordinates is:
(y2-y1)/(x2-x1)
so (2,11) = (x1,y1)
and (10,4) = (x2,y2)
then putting the values in the formula.