Here is the factor (3x+5y)(3x-5y)
Answer:
(3x+5y)(3x−5y)
Step-by-step explanation:
The binomial can be factored using the difference of squares formula
a^2−b^2=(a+b)(a−b) where a=3x and b=5y
what does trace of matrix mean explain with examples
Trace of a matrix is defined only for a square matrix . It is the sum of the elements on the main diagonal, from the upper left to the lower right, of the matrix
What’s the standard form of the following polynomial?
(3x-2)(x-1)+2(x-5)^2-25
Answer
x^2 + 4x - 49
Step-by-step explanation:
you have to do PEMDAS first then add all the like-terms
hope this helps
p.s. you're pretty
PERFORM THE MULTIPLICATION
(x–3)^2(x+3)^2
SOMEONE PLZZZ HELP
Answer:
81 is the answer
Step-by-step explanation:
Answer:
Hold up im solving it
Step-by-step explanation:
how do I find the x value of this triangle? thank youuuu
answer = 42
if you look at the triangle you see a small square in the corner indicating that the triangle is a 90 degree angle, therefore all the sides add up to 90. With this knowledge just add the values of the two known sides, 18 and 30, which is 48 and then subtract 48 from 90 which gives you the value of x, 42
How do I solve? (10y+9)-(4y-8)=
Answer:
(6y+17)
Step-by-step explanation:
1. Subtract 4y from 10y to get 6y
2. 9 is positive and 8 is negative but to subtract a negative is basically adding so you would add 9 to 8
3. You final equation would be (6y+17)
4. (10y+9)-(4y-8)= (6y+17)
Answer:
(10y + 9) - (4y - 8) = 6y + 17Step-by-step explanation:
[tex](10y+9)-(4y-8)\\\\=10y+9-4y-(-8)\\\\=10y+9-4y+8\qquad\text{combine like terms}\\\\=(10y-4y)+(9+8)\\\\=6y+17[/tex]
Which word has a horizontal line of symmetry?
A. LIT
B. HAD
C. HIP
D. BED
D.Bed because if you were to split the word BED in half horizontally you would be able to put them together and it match up.
The area is a rectangle is 56 cm. The length is 2 cm more than x and the width is 5 cm less than twice x. Round to the nearest whole number.
Answer:
The solution is [tex]x=6\ cm[/tex]
Step-by-step explanation:
we know that
The area of rectangle is equal to
[tex]A=LW[/tex]
we have
[tex]A=56\ cm^{2}[/tex]
so
[tex]56=LW[/tex] ------> equation A
[tex]L=x+2[/tex] -----> equation B
[tex]W=2x-5[/tex] -----> equation C
Substitute equation B and equation C in equation A
[tex]56=(x+2)(2x-5)[/tex]
solve for x
[tex]56=(x+2)(2x-5)\\56=2x^{2}-5x+4x-10\\2x^{2}-x-66=0[/tex]
The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to
[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]2x^{2}-x-66=0[/tex]
so
[tex]a=2\\b=-1\\c=-66[/tex]
substitute in the formula
[tex]x=\frac{1(+/-)\sqrt{-1^{2}-4(2)(-66)}} {2(2)}[/tex]
[tex]x=\frac{1(+/-)\sqrt{529}} {4}[/tex]
[tex]x1=\frac{1(+)23} {4}=6[/tex]
[tex]x2=\frac{1(-)23} {4}=-5.5[/tex]
The solution is [tex]x=6\ cm[/tex]
[tex]L=6+2=8\ cm[/tex]
[tex]W=2(6)-5=7\ cm[/tex]
The following expression represents the density of an object that has a mass of m and a volume of V.
M/V
If a laptop has a volume of 2,850 cubic centimeters and a mass of 2,300 grams, what is the density of the laptop in G/cm3
A. 1 5/23
B.15/19
C. 1 11/46
D. 46/57
Final answer:
The density of the laptop is calculated by dividing the mass (2,300 grams) by the volume (2,850 cubic centimeters), resulting in a density of 0.807 g/cm³, which is approximately 46/57.
Explanation:
To find the density of the laptop in grams per cubic centimeter (g/cm³), we use the formula density = mass/volume. The mass of the laptop is given as 2,300 grams and the volume is given as 2,850 cubic centimeters. By substituting into the formula:
Density = Mass / Volume = 2,300g / 2,850cm³ = 0.807 g/cm³.
When expressed as a fraction in simplest form, this is approximately 46/57 (since 0.807 ≈ 46/57). Hence, the answer is D. 46/57.
Y=f(x) = -1x find f(x) when x= 0
f(0) equals 0. When x is 0 in the given function, the result of f(x) is also 0.
To find the value of f(x) when x=0 for the function f(x) = -1x, substitute 0 for x:
f(0) = -1(0) = 0.
Therefore, f(0) equals 0. When x is 0 in the given function, the result of f(x) is also 0.
Gina has 400 records. If Johnny were to double the number of records that he now owns, he would still have fewer than Gina has.
Johnny currently owns fewer than 200 records.
Let's denote:
- \( x \) as the number of records Johnny currently owns.
Given:
- Gina has 400 records.
- Johnny would still have fewer than Gina has if he were to double the number of records he owns.
We can set up the following inequality:
[tex]\[ 2x < 400 \][/tex]
To find the maximum value of \( x \), we solve for it:
[tex]\[ x < \frac{400}{2} \]\[ x < 200 \][/tex]
So, Johnny currently owns fewer than 200 records.
I need help plz show steps
Answer:
D
Step-by-step explanation:
We will solve the equation by using quadratic formula.
x= (-b ± √(b^2-4ac))/2a
The standard form of quadratic equation is:
ax^2+bx+c=0
So by comparing with the standard form, we get:
a=1
b= -4
c=18
Putting the values in the formula
x= (-(-4)± √((-4)^2-4(1)(18)))/2(1)
x = (4± √(16-72))/2
x = (4± √(-56))/2
The minus sign in square root will introduce the imaginary symbol.
x = (4± √(14*4*(-1)))/2
The minus 1 can be replace by the imaginary i => i^2 = -1
x = (4± √(14*2^2*i^2 ))/2
The terms with squares can be brought out of the square root
So,
x = (4± 2i√14)/2
Taking 2 as common
x = (2(2± i√(14)))/2
x = 2± i√14
Factor the polynomial: x^3+x^2+x+1
Answer:
(x+1)(x2+1)
Step-by-step explanation:
Factor x3+x2+x+1
x3+x2+x+1
=(x+1)(x2+1)
also a great website for your problems is called mathpapa-algebra calculator
Is 6(4x-5) equivalent to 3+22x-33-2x?
YES or NO?????
Show your work!
6(4x-5) 3+22x-33-2x
Answer:
NO
Step-by-step explanation:
To find if they are equivalent, we need to simplify them first.
Using the distributive property we get:
6(4x-5) = 24x - 30
In this case we need to combine like terms.
3 + 22x - 33 - 2x = 20x - 30
So now we can compare.
24x - 30 ≠ 20x - 30
So we can conclude that the two expressions are not equal because 24x - 30 and 20x - 30 are obviously not equal.
Answer:
Not equivalent
Step-by-step explanation:
We are given an expression [tex] 6 ( 4 x - 5 ) [/tex] and we are to check if it is equal to [tex] 3 + 22 x - 33 - 2 x [/tex] or not.
Evaluation the given expression first:
[tex] 6 ( 4 x - 5 ) = 24 x - 30 [/tex]
While adding the terms in [tex] 3 + 22 x - 33 - 2 x [/tex], we get:
[tex] 22 x - 2 x - 33 + 3 = 20 x - 30 [/tex]
[tex] 24 x - 30 \neq 20 x - 30 [/tex]
Therefore, [tex] 6 ( 4 x - 5 ) [/tex] is not equivalent to [tex] 3 + 22 x - 33 - 2 x [/tex].
Please please please please PLEASE answer
Yea it’s the second one
Is this answer ok, please help?
Answer:
Step-by-step explanation:
Unfortunately not...
The shape is a triangle, and the area formula is A=[tex]\frac{1}{2}[/tex]bh.
b = 5 ft.
h = 4 ft.
Therefore:
A = [tex]\frac{1}{2}[/tex](5)(4)=10ft
how do I simplify 15x+42-8y+20-4x
Answer:
[tex]\large\boxed{15x+42-8y+20-4x=11x-8y+62}[/tex]
Step-by-step explanation:
[tex]15x+42-8y+20-4x\\\\\text{combine like terms}\\\\=(15x-4x)-8y+(42+20)\\\\=11x-8y+62[/tex]
You add like terms together.
Ex. You would add 15x and(-4x) together, giving you 11x
So to simplify it, you need to do 15x-4x, 42+20, and 8y would be left by itself since there are no like terms for 8y.
So the simplified version would be: 11x+62+8y
How to solve for x in math
Answer:
x = 15; m<(3x) = 45; m<(2x + 15) = 45
Step-by-step explanation:
The measures of the angles measuring 3x and 2x + 15 add up to 90 degrees.
3x + 2x + 15 = 90
5x + 15 = 90
5x = 75
x = 15
m<(3x) = 3 * 15 = 45
m<(2x + 15) = 2 * 15 + 15 = 30 + 15 = 45
Find the value of y. Round answer to the nearest tenth if needed
Answer:
y = 54.1
Step-by-step explanation:
The big triangle is divided in two: one on the left and one on the right. Lets start working with the right one.
We know the right triangle is a right triangle with legs 24 and 36, so we can use Pitagoras to find the hypotenuse (h), in a way that:
24^2 + 36^2 = h^2
1872 = h^2
Applying sqr root in both sides:
h = 43.27
So, the hypotenuse measures 43.27 or 43.3.
Now lets do the same with the triangle of the right which legs are 36 and y, lets find it hypotenuse (g):
36^2 + y^2 = g^2
1296 + y^2 = g^2
Now we will pass to the large triangle, which is composed by the left and the right triangles and has legs of 43.3 and g, and the hypotenuse is 24+y. Lets apply Pitagoras:
43.3^2 + g^2 = (24+y)^2
1875 + 1296 + y^2 = 24^2 + 48y + y^2
3171 + y^2 = 576 + 48y + y^2
As we have y^2 in both sides we can eliminate them
3171 + = 576 + 48y
Now subtract 576 in both sides:
3171 -576 = 576 + 48y - 576
2595 = 48y
Divide both sides by 48:
2595/48 = 48y/48
54.1 = y
So, the large hypotenuse measures 54.1+24 = 78.1. Lets verify:
43.3 ^2 + 1296 + 54.2^2 = 6,108.53
And the sqrd root of 6,108.53 is approximately 78.1. Verified!!!!
So, we can confirm: y = 54.1
find the height, round to the nearest hundredth
Area is 72units squared
Answer:
[tex]\large\boxed{h=10\dfrac{2}{7}}[/tex]
Step-by-step explanation:
The formula of an area of a triangle:
[tex]A=\dfrac{bh}{2}[/tex]
We ahve b = 14 and A = 72. Substitute:
[tex]72=\dfrac{14h}{2}[/tex] multiply both sides by 2
[tex]144=14h[/tex] divide both sides by 14
[tex]h=\dfrac{144}{14}\\\\h=\dfrac{144:2}{14:2}\\\\h=\dfrac{72}{7}\\\\h=10\dfrac{2}{7}[/tex]
I NEED HELP REALLY BAD!
The area is 168 yd²
Step-by-step explanation:The area of Trapezoid is given by
A= (a+b)/2 * h
Putting the values
A = (5+23)/2 * 12
A = 168 yd²
Answer:
A = 168 Square Yards
Kelsey is hiking from the woods to the lodge. She hikes past tree A (3 Miles) and B (4 Miles) in order to get to the lodge. How much distance should she have saved by going straight to the lodge from tree A ?
Answer:
1 mile
Step-by-step explanation:
What is the slope of the line?
The slope is
[tex] - \frac{1}{3} [/tex]
Fill in the blank so that the ordered pair is a solution of y=8x+3.
Answer:
11
Step-by-step explanation:
8 plus 3 i dunno know if it is forsure but yeah.
a fruit drink is made by mixing lemon juice, orange juice and lime juice in the ratio 5:2:3 james makes 400ml of the fruit drink how much lemon juice is used
Answer:
200ml
Step-by-step explanation:
5+2+3=10
400/10=40
Since lemon's ratio is 5, you multiply 40 by 5 to get 200.
Ellie read 30 pages of her social studies book in 1.5 hours at a constant rate. She then switched to reading a novel and read 150 pages in 2 hours at a constant rate. Wh at percent of Ellie’s social studies reading rate is her Novel reading rate?
Social Studies rate, S = 30/ 1.5 = 20pages/hr
Novel rate, N = 150/2 = 75pages/hr
Novel rate as a % of Social Studies rate...
N/S × 100% = 75/20 × 100% = 375%
percent of Ellie’s social studies reading rate is her Novel reading rate is 375%.
What are mathematics operations?
A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.
• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.
Here, it is given that :
Ellie read 30 pages of her social studies book in 1.5 hours at a constant rate, let first find Ellie's social studies reading rate :
rate = 30 pages/1.5 hours = 20 pages/ hr.
Now, to find out the unit rate, divide the total number of pages reading novel by the total time spent.
rate = 150 pages/ 2 hours = 75 pages/ hr.
To find out the percentage divide Ellie's novel reading rate by Ellie's social studies reading rate and multiply by 100
percent of Ellie’s social studies reading rate is her Novel reading rate = 75/20 x 100 = 375%.
Therefore, percent of Ellie’s social studies reading rate is her Novel reading rate is 375%.
Read more about mathematics operations at:
https://brainly.com/question/17869111
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Solve for x 34=-2x solve for x
Answer:
x = -17
Step-by-step explanation:
Divide both sides by two and get:
x = -17
Answer:
x=-17
Step-by-step explanation:
-2x=34
-2x/-2=34/-2
x=-17
Point W(5, -6) is reflected across the line y = -x. Which of the following is the location of its image, W’.
(-5, -6)
(5, 6)
(-6, 5)
(6, -5)
(6, -5)
Key Concepts for Reflections:if (a, b) is reflected on the x-axis, the image is the point (a, -b)if (a, b) is reflected on the y-axis, the image is the point (-a, b)if (a, b) is reflected on the line y = x, the image is the point (b, a)if (a, b) is reflected on the line y = -x, the image is the point (-b, -a)(5, -6) --> (-5, 6)
Hope this helps!!
I'd right the key concepts for future reference!
:D
Answer:
(6,-5)
Step-by-step explanation:
recognizing the no-solution case algebraically
need geometry help!!
Answer:
"The values for y are square roots of negative numbers"
Step-by-step explanation:
The steps shown are correct. But at the end we can see that we have to "take the negative square roots".
This means we have to take the square root of -1. In the real number system, we CANNOT take the square root of any negative number. Hence, there is NO SOLUTION to the system.
2nd answer choice, "The values for y are square roots of negative numbers", is right.
The manager of a store that specializes in selling tea decides to experiment with a new blend.She will mix some Earl Grey tea that sells for $6 per pound with some Orange Pekoe tea that sells for $4 per pound to get 600 pounds of the new blend. the selling price of the new blend is $4.50 per pound and there was something to be no difference in revenue from selling the new blend versus selling the other types. how many pounds of the Earl Grey tea and orange Pekoe tea are required?
Answer:
Earl Grey: 150 poundsOrange Pekoe: 450 poundsStep-by-step explanation:
Let "e" represent the number of pounds of Earl Grey tea required for the mix. Then (600-e) is the number of pounds of Orange Pekoe tea required. The total cost of the mix is ...
6·e + 4·(600 -e) = 4.50·600
2e = 600·(4.50 -4.00) . . . . . simplify, subtract 4·600
e = 300/2 = 150 . . . . . . . . . . divide by the coefficient of x
Required are 150 pounds of Earl Grey and 450 pounds of Orange Pekoe.
The amount of Earl Grey and Pekoe tea required for the new blend is :
150 pounds of Earl450 pounds of PekoePrice of new blend per pound = $4.50
Price per pound of Earl tea = $6
Price per pound of Pekoe tea = $4
Let :
Pound of Earl tea = a
Pound of Pekoe tea = b
Converting the information to Mathematical expressions :
a + b = 600 - - - (1)6a + 4b = 600(4.50)6a + 4b = 2700 - - - (2)From (1):
a = 600 - b
Put a = 600 in (2)
6(600 - b) + 4b = 2700
3600 - 6b + 4b = 2700
Collect like terms :
-6b + 4b = 2700 - 3600
-2b = -900
b = 900 ÷ 2
b = 450
Recall :
a = 600 - b
a = 600 - 450
a = 150
Therefore,
Pound of Earl tea required = 150Pound of Pekoe tea required = 450Learn more : https://brainly.com/question/11335251
Add -5+2/8 PLEASE HELP MEEE
[tex]\bold{Hey\ there!} \\ \bold{-5+\frac{2}{8}} \\ \bold{-5=-\frac{5}{1}}\\ \bold{Problem\ becomes\rightarrow -\frac{5}{1}+\frac{2}{8}} \\ \bold{\frac{2\div2}{8\div2}=\frac{1}{4}}\\ \bold{-\frac{5}{1}+\frac{1}{4}} \\ \bold{-5\times4=-20}\\ \bold{1\times4=4} \\ \bold{Problem\ becomes:\frac{-20+1}{4}} \\ \bold{-20+1=-19} \\ \bold{4=4} \\ \boxed{\boxed{\bold{Answer:\frac{-19}{4}}}}\checkmark[/tex]
[tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]