what is the slope between 0,0 and 5,15
3x+4)2−(x−10)2 .
Escolha uma opção:
a. 10x2−4x+116
b. 8x2−4x−84
c. 8x2+44x−84
d. 8x2−44x−84
e. 8x2+116
Given:
Expression is
[tex](3x+4)^2-(x-10)^2[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex](3x+4)^2-(x-10)^2[/tex]
Using [tex](a+b)^2=a^2+2ab+b^2[/tex] and [tex](a-b)^2=a^2-2ab+b^2[/tex], we get
[tex]=(3x)^2+2(3x)(4)+(4)^2-[(x)^2-2(x)(10)+(10)^2][/tex]
[tex]=9x^2+24x+16-[x^2-20x+100][/tex]
[tex]=9x^2+24x+16-x^2+20x-100[/tex]
On combining like term, we get
[tex]=(9x^2-x^2)+(24x+20x)+(16-100)[/tex]
[tex]=8x^2+44x+(-84)[/tex]
[tex]=8x^2+44x-84[/tex]
Therefore, the correct option is c.
If ABCD is dilated by a factor of 2 the coordinate of b would be? Will mark barinlyist.
Answer:
B'(- 2, 2 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply the coordinates of B by the scale factor 2, that is
B(- 1, 1 ) → B'(2(- 1), 2(1) ) → B'(- 2, 2 )
Write 6 to the power of 3/2 in surd form
Answer:
6√(6) is the answer of your question
20 points for anyone that can solve the question
Answer:
[tex] {3}^{x} = {9}^{y} - - - eqn(i) \\ 4 ^{xy} = {2}^{x - 2} - - - eqn(ii) \\ from \: (i) \: introduce \: log_{10}\: \: \\ log( {3}^{x} ) = log( {9}^{y} ) \\ x log(3) = y log(9) \\ x log(3) = 2y log(3) \\ x = 2y - - - eqn(iii) \\ substitute \: for \: x \: in \: eqn(ii) \\ {4}^{ {2y}^{2} } = {2}^{2(y - 1)} \\ {4}^{ {2y}^{2} } = {4}^{(y - 1)} \\ from \: indice \: laws \\ {2}^{ {y}^{2} } = y - 1 \\ introduce \: log_{10} \\ {y}^{2} log(2) = log(y) - log(1) \\ log(2) = {y}^{ - 2} log (y \: - \: 1) \\ {y}^{ - 2} (2 - y - 1) = 10 \\ \frac{2}{ {y}^{2} } - \frac{1}{y} - \frac{1}{ {y}^{2} } = 10 \\ 1 - y = 10 {y}^{2} \\ 10 {y}^{2} + y - 1 = 0 \\ [/tex]
hope that step is enough to give you the two values of y, coz I gat no calc here with me.
hint: use the quadratic equation
plz help i will mark brainlist
Answer:
the answer would be graph C
Step-by-step explanation:
also the next time you have a question like this, you can use Desmos is a free graphing platform, thats how I answered this!
Good Luck and have a good day!
Can someone help me with letter D?
Answer:
1.5 times greater because the ratio of triangle ABC to triangle DEF is 2:3
Step-by-step explanation:
Answer:
1.4 times is the correct answer
Will mark brainliest
marla has 4.55 in dimes and quarters. if she ha s7 more quarters than dimes, how many quarters doe she have?
Answer:
number of dimes is 8
number of quarters is 15
Step-by-step explanation:
let 'd' = number of dimes
let 'd+7' = number of quarters
.10d + .25(d + 7) = 4.55
.10d + .25d + 1.75 = 4.55
.35d = 2.80
d = 8
q = 7 + 8
Given the function f(x) = 2-4, determine the slope of the tangent line of f at
x = -1 using the limit shown below. You do not have to simplify your answer.
Answer:
Slope of the tangent line at x=-1
[tex](\frac{dy}{dx})_{x=-1} = e^{-5}[/tex]
Step-by-step explanation:
Explanation:-
Given function
y = f(x) = e ˣ⁻⁴ ...(i)
Differentiating equation (i) with respective to 'x' , we get
[tex]\frac{dy}{dx} = e^{x-4} \frac{d}{dx} (x-4)[/tex]
[tex]\frac{dy}{dx} = e^{x-4} (1)[/tex]
Slope of the tangent line
[tex](\frac{dy}{dx})_{x=-1} = e^{-1-4} = e^{-5}[/tex]
Yvette's family home is 1600 square feet. They hope to increase the area
by 10%.
PLZ ANSWER ASAP MARKING BRAINLIEST
Answer:
1760 sqft
Step-by-step explanation:
10% is 0.1 in decimal, since its increasing, it would be 1.1
1600 times 1.1 is 1760.
Simplify each expression.
what is the linear equation for this graph? (y=mx+b)
Answer:
y = -3x - 3
Step-by-step explanation:
the y-intercept is -3 as shown in the graph, so, b = -3
if you count, the rise is 3 and the run is -1, so the slope will be -3/1
-3/1 equals to -3
y = -3x - 3
Answer:
y = –3x – 3
Step-by-step explanation:
m = the slope which is 3/1, or 3. Since the line is going from the bottom right corner to the top left, it is a negative slope so –3.
b = the y-intercept which is –3.
So,
y = –3x – 3
A half marathon is around 13 miles. Brian can run about 6 1⁄3 miles per hour. If Brian keeps his pace, how long will it take him to run a half marathon?
Answer:
2.053 hours
Step-by-step explanation:
From the question,
A half marathon is around 13 miles. Brian can run about 6 1⁄3 miles per hour.
If Brian keeps his pace, how long will it take him to run a half marathon?
This is calculated as:
6 1/3 miles = 1 hour
13 miles = x hour
Cross Multiply
6 1/3 miles × x hour = 13 miles × 1 hour
x hour = 13 miles × 1 hour/6 1/3 miles
x hour = 13 ÷ 6 1/3 miles
x hour = 13 ÷ 19/3
x hour = 13 × 3/19
x hour = 39/19
x hour = 2.0526315789 hours
Approximately = 2.053 hours
It will take him 2.053 hours to run a half marathon.
Can someone help me please
Answer
The answer is +200 or 200.
Please correct me If I am wrong
This is what my teacher taught me
Step-by-step explanation:
What is the factorization of the trinomial below?
3x^2+36x+81
A. (x+2)(x+27)
B. (x+3)(x+9)
C. 3(x+2)(x+9)
D. 3(x+3)(x+9)
Jeff invested $3000 in an account that earns 6.5% interest, compounded annually. The formula for compound interest is A(t) = P(1 + i) t. How much did Jeff have in the account after 3 years?
Answer:
$3623.85
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Compounded Interest Formula: [tex]A=P(1 + \frac{r}{n} )^{nt}[/tex]
A is final amountP is principle amountr is raten is compounded ratet is time in yearsStep-by-step explanation:
Step 1: Identify Variables
P = 3000
r = 0.065
n = 1
t = 3
Step 2: Find Final Amount A
Substitute [CIF]: [tex]A=3000(1 + \frac{0.065}{1} )^{1(3)}[/tex]Multiply: [tex]A=3000(1 + \frac{0.065}{1} )^{3}[/tex]Divide: [tex]A=3000(1 +0.065 )^{3}[/tex]Add: [tex]A=3000(1.065 )^{3}[/tex]Exponents: [tex]A=3000(1.20795)[/tex]Multiply: [tex]A=3623.85[/tex]how do I solve for x ?
Answer: 4
Step-by-step explanation:
What is the slope of the line represented by the equation ?
Answer:
I think is 10 because 2 negatives make a positive and 2 would make the answer -10
3. What is the y-intercept of the line that passes through the point (-8,7) and is perpendicular to the line
y = 2x + 5?
Please help :(
Answer:
if it is perpendicular then it would be 5 and only the slope would change from 2x to -1/2x
Hope I answered your question
You spend c dollars for p identical pairs of pants. A friend claims that because c increases if you increase p and p increases if you increase c either c or p could be the independent variable. Is your friend right or wrong? Explain.
Answer:
Your friend is wrong.
Step-by-step explanation:
Since we have that you spend c dollars for p identical pairs of pants. We can represent this using:
C = kP.
Where k is the price for one pair of pants whereby the amount of dollars you spend depends on the number of pants picked.
C is the dependent variable here, depending on P and P is independent. Therefore, you have only one independent variable which is P.
- 4x +35> 2 What is the answer?
Answer:
x < [tex]\frac{33}{4}[/tex]
Step-by-step explanation:
Given
- 4x + 35 > 2 ( subtract 35 from both sides )
- 4x > - 33
Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity.
x < [tex]\frac{33}{4}[/tex]
Please answer ASAP will give brainliest. Given N is the midpoint of MO, find the length of MO.
MO= x units
(5 is not correct)
Answer:
MO = 22 units
Step-by-step explanation:
To solve this problem, you have to set the equations equal to each other. Since we are given that N is the midpoint, MN and NO are going to be equal to each other.
Set them equal and solve for x:
2x+3 = 3x-1
Subtract 2x from the right to get the variable on one side and add 1 to the right side.
4 = x
Now that we know what x is, you can plug it into the equation and add them together
2(4)+3 = 11
3(4)-1 = 11
11+11 = 22
Hope this helps :)
What is the value of x?
Z=(2x - 4). Y=5y°
Enter your answer in the box.
X=
Answer:
∆XYZ is a equilateral triangle
hence, angle X, angle Y and angle Z =60° each
2x-4=60
2x=64
x=32° (Answer)5y=60
y=12°Jazmine can run 4 5/6 miles in 2/3 of an hour. How many miles can she run in 1 hour?
Answer: she can run [tex]6\dfrac54[/tex] mile sin 1 hour.
Step-by-step explanation:
Given : Distance run by Jasmine in [tex]\dfrac23[/tex] of an hour = [tex]4\dfrac56\text{ miles}=\dfrac{24+5}{6}\text{ miles}[/tex]
[tex]=\dfrac{29}{6}[/tex] miles
Distance run by Jasmine in 1 hour = [tex]\dfrac{29}{6}\times\dfrac{3}{2}=\dfrac{29}{4}[/tex] miles.
[tex]=6\dfrac{5}{4}[/tex] miles.
Hence, she can run [tex]6\dfrac54[/tex] mile sin 1 hour.
1.) Ethan is typing a 500-word essay for school. He can type 25 words per minute. A. Define a variable. X, B. Write an equation and solve an equation to find the number of minutes he has typed if he has 325 words remaining.
worth 20 points so please help
Answer:
The variable should be m=minutes
The equation should be 25m=175
Thus the answer being 7 minutes.
77 is what percent of 192
in this condition "of" is considered as multiply(×) so the questions form in maths form is 77% × 192
because it is multiplication sign we multiply 77×192=14784 dont forget the percentage % percent is /100 so 14784/100 = 147.84.
HELP ME PLEASE!!!!!!
Answer:
Its linear for sure
i would say y=2x but im not sure tho sry if its the wrong equation
the zero of the quadratic polynomial x^2+99x+127 are a both positive b both negative c one +ve one-ve d both equal. please help
Step-by-step explanation:
By Descrates' Rule of Signs,
x² + 99x + 127 changes sign 0 times.
Hence it has 0 positive roots.
Since the discriminant b² - 4ac is also positive, there are 2 real distinct roots.
Hence both the roots are negative. (B)
Answer:
Hi Aarav
Your answer in attached below
LoL
Find the missing side of each triangle.
Hello!
[tex]\large\boxed{x = 4.21in}[/tex]
Use the Pythagorean Theorem to solve:
a² + b² = c²
We are given the Hypotenuse (c) and one of the legs (b), so we can plug those values in to solve for a:
a² + (6.8)² = 8²
a² + 46.24 = 64
Subtract 46.24 from both sides:
a² = 17.76
Square root both sides:
a = √17.76
a ≈ 4.21 = x