Answer:
A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.
It factors to (a+b)(a-b).
Step-by-step explanation:
A binomial is an expression with only terms where at least one is a term with a variable. When we can factor for difference of squares, we can have two variable terms or just one with a constant.
A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.
It factors to (a+b)(a-b).
dave says:
the only quadrilateral with two lines of symmetry is a rectangle
is dave correct
explain your answer
There are 2 symmetry lines of a rectangle which are from its length and breadth. These two lines cut the rectangle in two similar halves which are mirror images of each other. If a rectangle is folded along its line of symmetry, it superimposes perfectly.
(x⁴ + 8x³ - 45x + 30) ÷ (x + 7)
Topic is Polynomials. Find the answer using long division. Please, provide detailed steps.
Answer:
Step-by-step explanation:
I added 3 images labelled Synthetic division 1 , 2 , 3 . I hope you understand this. It's really hard to type the method in the format so I used an online calculator symbolab.
Answer:
The quotient is: [tex]x^3+x^2-7x+4[/tex]
The remainder is: 2
Step-by-step explanation:
We need to solve the polynomials [tex](x^4 + 8x^3 - 45x + 30) \div (x + 7)[/tex]
by using long division.
The long division is done in figure attached.
The quotient is: [tex]x^3+x^2-7x+4[/tex]
The remainder is: 2
Write in terms of i . Simplify your answer as much as possible. Square root -27
Answer:
3i[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{-1}[/tex] = i
Given
[tex]\sqrt{-27}[/tex]
= [tex]\sqrt{9(3)(-1)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{-1}[/tex]
= 3i[tex]\sqrt{3}[/tex]
Given g(x) = -
—x – 2, find g(-3).
Answer:
1
Step-by-step explanation:
negative times negative is positive so that would make it 3-2 which is 1.
3n+2 What is the value of the 3rd term?
Answer:
11.
Step-by-step explanation:
Plug n = 3 into the expression:
3(3) + 2 = 11.
a movie is advertised to last 2 1/3 hours. Of this time, 1/4 is used for showing previews. How long long is the actual movie?
Answer:
The movie is actually 3/28 hours.
Step-by-step explanation:
1
4
÷
2 1
3
=
1
4
÷
7
3
=
1
4
×
3
7
=
1 × 3
4 × 7
=
3
28
y=-x Identify the slope and y-intercept
Answer:
57
Step-by-step explanation:
the number with the equation
Answer:
Slope: m = -1 y-intercept: b = 0Step-by-step explanation:
slope-intercept form of equation: y = mx + b
wherae m is the slope and b is the y-intercept
So:
y = -x
y = -1x + 0 ⇒ m = -1 b = 0
How do you know from a graph if a relationship is a direct variation?
Answer:
A direct variation is when x and y (or f(x) and x) are directly proportional to each other... For example, if you have a chart that says x and y, and in the x column is 1, 2 and 3, and the y column says 2, 4 and 6... then you know it's proportional because for each x, y increases by 2
Step-by-step explanation:
Graph the equation 4x+9-3/5=10xy^3-49. Then solve for the square root of x
Answer: 4x+9-3/5=10xy^3-49
Step-by-step explanation: x+9-3/5-(10*x*y^3-49)=0
STEP
1
:
Equation at the end of step 1
3
((4x + 9) - —) - ((2•5xy3) - 49) = 0
5
STEP
2
:
3
Simplify —
5
Equation at the end of step
2
:
3
((4x + 9) - —) - (10xy3 - 49) = 0
5
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
4x + 9 (4x + 9) • 5
4x + 9 = —————— = ————————————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(4x+9) • 5 - (3) 20x + 42
———————————————— = ————————
5 5
help me plz (geometry)
Answer:
I’m pretty sure it’s A
Could someone help me with this one? I'm a tad stuck. I'll give brainliest to the correct answer!
Answer: 130 or a
Step-by-step explanation: 360-230=130
Answer:
130°
Step-by-step explanation:
First step you need draw a line from X to O and line Z to O. Both of them are radius.
as we know, radius and tangent line are always perpendicular. so the degree is 90° each.
shape of XYZO is kite with total of 360°
so the arc XZ have
360 - 50 - 90 - 90 = 130°
Rin can type 280 words in 7 minutes. At this rate, how many words can she type in 10 minutes?
Answer:
400 words in 10 minutes
Step-by-step explanation:
If you divide 280 by 7, you get 40. That means she can type 40 words per minute. 40 times 10 equals 400.
The difference of y and 8.1 is 20.
Flnd the value of y.
Answer:
y = 28.1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Set Up Equation
"Difference" is subtraction
"y" is y
"8.1" is 8.1
"is" is equal
"20" is 20
y - 8.1 = 20
Step 2: Solve for y
Add 8.1 to both sides: y = 28.1Solve for x
A. 27 B. 37 C. 30 D. 31
Answer:
A
Step-by-step explanation:
i think
−5w−2w+3w=9 whats w
help
Answer: w = -9/4
Step-by-step explanation:
Find the equation of the line. use exact numbers
Answer:
y = -2x + 5
Step-by-step explanation:
The slope is -2/1 and the y intercept is 5.
2x^3=128
work out the value of x
Step-by-step explanation:
2x^3=128
or,x^3=128/2
or,x^3=64
or,x=3√64
or,x=4
The length of a rectangle is 5 meters greater then the width. The perimeter is 150 meters. What is the width of the rectangle
answer:
p=2(l+w)
150=2.5+w
150=10w
150/10=w
15=w
|-4/5-1/10| + |-3/4+5/2|
A.) 9/10
B.) 53/20
C.) 7/4
D.) 17/10
Answer:
B.) 53/20
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
|Absolute Value| makes any negative number positiveStep-by-step explanation:
Step 1: Define
|-4/5 - 1/10| + |-3/4 + 5/2|
Step 2: Evaluate
Subtract: |-9/10| + |-3/4 + 5/2|Add: |-9/10| + |7/4|Absolute Value: 9/10 + 7/4Add: 53/20PLS HELP ME ! ! ! ! !
Answer:
D (0, 2)
General Formulas and Concepts:
Algebra I
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = 3/4x + 2
Step 2: Break Function
Identify Parts
Slope m = 3/4
y-intercept b = 2
what is (–5) 2 and how do i solve
Answer:
(−5)2
Multiply −5 and 2 to get −10.
−10
Lila wrote an equation of the cost for printing brochures, where x represents the number of brochures and y represents the total cost. The total cost for 35 brochures is $41.45. The total cost for 65 brochures is $55.55.
Step 1: Write the ordered pairs (35, 41.45) and (65, 55.55).
Step 2: Find the slope. m = StartFraction 55.55 minus 41.45 Over 65 minus 35 EndFraction = 0.47
Step 3: Find the y-intercept to write the equation in slope intercept form. y minus 55.55 = 0.47 (x minus 35). Y minus 55.55 = 0.47 x minus 16.45. y = 0.47 x + 39.1.
Which explains the error that Lila made?
A. Lila made in error in Step 1 by reversing the ordered pairs.
b.Lila made an error in Step 2 by not using the slope formula.
c.Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.
d.Lila made an error in Step 3 when she did not use the distributive property correctly when multiplying.
since its hard first answer = brainliest
Answer:
c
Step-by-step explanation:
Please see the attached picture for the full solution.
Answer:
C.
Step-by-step explanation:
The table shows a person saving money at a constant rate. How much is this person saving per week?
(Chart)
$------ 2-60. 4- 120. 6- 180. 8-240
(Answers)
A)$2.
B)$30.
C)$60.
D)$120
Answer:
We conclude that the person is saving $60 dollars per week.
Hence, option C is true.
Step-by-step explanation:
Given the table chart
Week Saving Money
2 60
4 120
6 180
8 240
We know to determine the slope to find the rate of change.
Taking the points (2, 60) and (4, 120)
Rate of change = Slope = [y₂ - y₁] / [x₂ - x₁]
= [120 - 60] / [4 - 2]
= 60 / 2
= $30 dollars per week
Now, taking the points (4, 120) and (6, 180)
Rate of change = Slope = [180 - 120] / [6 - 4]
= [60] / [2]
= $30 dollars per week
Now, taking the points (6, 180) and (8, 240)
Rate of change = Slope = [240 - 180] / [8 - 6]
= [60] / [2]
= $30 dollars per week
This concludes that the rate of change is contant i.e. $30 dollars per weekTherefore, we conclude that the person is saving $60 dollars per week.
Hence, option C is true.
Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.
What is the greatest possible whole-number length of the unknown side?
2 inches
3 inches
7 inches
9 inches
Answer:
c
Step-by-step explanation:
The greatest possible whole-number length of the unknown side among the option is 9 inches.
Obtuse triangle
Obtuse triangle is a triangle that has one of it internal angle greater than 90 degrees.
Triangle inequality theorem:The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
If the sides of the triangles are x, y and z. Therefore,
x + y > z
x + z > y
y + z > x
Therefore, the greatest possible length among the option is 9.
Proof
12 + 14 > 9
12 + 9 > 14
14 + 9 > 12
learn more on triangle here: https://brainly.com/question/10373668
Traveling upstream (against the current) in a boat, you can travel 35 miles in 7 hours. It
takes half the time (3.5 hours) to travel the same distance downstream (with the
current). Find the speed of the current.
Answer:
The speed of the current is 2.5 miles per hour
Step-by-step explanation:
Systems of Equations
Let's call:
B = velocity of the boat
C = velocity of the current
When traveling upstream, the current is against the boat thus the relative velocity is B-C.
The distance is the product of the velocity by the time. Since the boat takes 7 hours to travel 35 miles upstream, thus:
d=(B-C)*7=35
Dividing by 7:
B - C = 5 [1]
When traveling downstream, the current and the boat are collaborative and the relative velocity is B+C. The travel takes now 3.5 hours, thus:
d=(B+C)*3.5=35
Dividing by 3.5:
B + C = 10 [2]
Subtracting [2] - [1]:
2C = 5
C = 5/2 = 2.5
The speed of the current is 2.5 miles per hour
the points (-5,4)and (1,r) lie on a line with slope -1. Find the missing coordinates r.
Answer:
R has to be -2
Step-by-step explanation:
So to find a slope the formula is written as
Y2-Y1/ X2 -X1
We know X1 and X2 and Y1.
If we plug those in and put Y2 as the variable ”r”
You’ll get
[tex]\frac{r-4}{1+5}[/tex]
Now make that equal to -1 since thats the slope
If you solve the equation it should get you -2
12. The number of mold spores in the school bathroom sink started at 4. The number of spores doubled every day. The equation f(x)=4•2^x models the situation. How many mold spores will
there be after 6 days?
spores
Answer: i dony know honestly
Step-by-step explanation:
Answer:
128
Step-by-step explanation:
If you start off with 4 and it doubles every day, by day two you would have 8 spores then by day three you will have 16 because it doubles itself. Day four you have 32, day 5 you will have 64 and finally day 6 you will have 128
1.3472+1.1528=???
pls solve
Answer: 2.5
Step-by-step explanation:
Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.m. with a plan to have a picnic when they meet.
ANSWER: Kiran is jogging at 9.6 miles per hour.
3 fewer than than a number ,p
Answer:
p - 3
Step-by-step explanation:
If the number is "p", it would be p - 3
Hope this answered your question! <3