Answer:
slope = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 5 is in this form with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]
Answer:
Slope [tex]m_{2} = \frac{-1}{2}[/tex].
Step-by-step explanation:
Given : equation is y = 2x+5.
To find : What is the slope of a line perpendicular to the line.
Solution : We have given y = 2x+5.
On comparing by the slope form of line is
y = mx + b
where, m = slope , b = y-inercept.
So , [tex]m_{1}[/tex] = 2 .
When the two line are perpendicular to each other then thier slope is
[tex]m_{2} = \frac{-1}{m_{1}}[/tex].
Then plug the value of [tex]m_{1}[/tex] = 2 .
[tex]m_{2} = \frac{-1}{2}[/tex].
[tex]m_{2} = \frac{-1}{2} [/tex].
Therefore, Slope [tex]m_{2} = \frac{-1}{2}[/tex].
PLEASE HELP, ATTACHED IS THE PROBLEM
hypotenuse = 8
unknown leg = b
known leg = 4
Pythagorean theorem:
[tex]c=\sqrt{{a}^{2}+{b}^{2}}[/tex]
The answer is
[tex]8=\sqrt{{b}^{2}+{4}^{2}} [/tex]
Factor the polynomial.
3x^4 +6x^3 + 9x^2
Answer:
3 x^2 (x^2 + 2 x + 3)
Step-by-step explanation:
Factor the following:
3 x^4 + 6 x^3 + 9 x^2
Hint: | Factor common terms out of 3 x^4 + 6 x^3 + 9 x^2.
Factor 3 x^2 out of 3 x^4 + 6 x^3 + 9 x^2:
Answer: 3 x^2 (x^2 + 2 x + 3)
If you wanted to make the graph of y = 7x- 14 steeper, as well as shift the y
intercept of this line up, which equation could you use?
A. y= 5x - 18
B. y = 9x - 10
C. y= 5x – 10
D. y= 9x - 18
Answer:
Option B: y = 9x - 10.
Step-by-step explanation:
General equation of a straight line in the 2-D plane is given by:
y = mx + c; where m is the slope and c is the y-intercept.
The given equation of the line is y = 7x - 14; where m=7 and c=-14.
To make the line steeper, the gradient has to be increased. Therefore, Options A and C are incorrect because 5 is less than 7. This makes the Options B and D the remaining options because 9 is greater than 7.
To shift the y-intercept of this line up, the y-intercept has to be increased. Since -10 is greater than -14 and -18 is lesser than -14, therefore the latter option (Option D) is the incorrect option. So the correct answer is Option B: y = 9x - 10!!!
What is C’ T’ if there was a rotation ?
Answer: The Answer Is 4) Hope it Helps!
Step-by-step explanation:
some one please help me with these questions please answer any that you know are correct i cant risk any wrong answers
1. Add. (−5x ^4 +6x^2−43)+(6x^4−x^2+12x+12)
express the answer in standard form.
enter your answer in the box
2. ADD (x^3-2x^2+4)+(2x^3 + x^2−2)
Express the answer in standard form.
Enter your answer in the box.
3.ADD (1+7x^3-x^2) + (x^3+2+2x^2)
express the answer in standard form .
enter your answer in the box
Answer: 1) x⁴ + 5x² + 12x - 31
2) 3x³ - x² + 2
3) 8x³ + x² + 3
Step-by-step explanation:
1) Line up like terms and add the coefficients of each term
-5x⁴ + 6x² - 43
+ 6x⁴ - 1x² + 12x + 12
x⁴ + 5x² + 12x - 31
2) Line up like terms and add the coefficients of each term
1x³ - 2x² + 4
+ 2x³ + 1x² - 2
3x³ - x² + 2
3) Line up like terms and add the coefficients of each term
7x³ - 1x² + 1
+ 1x³ + 2x² + 2
8x³ + x² + 3
Use the discriminant to describe the roots of each equation. Then select the best description.
7x2 + 3 = 8x
double root
real and rational root
real and irrational root
imaginary root
Answer:
imaginary root
Step-by-step explanation:
7x^2 + 3 = 8x
Subtract 8x from each side
7x^2 -8x+ 3 = 8x-8x
7x^2 -8x+3 =0
This is in the form ax^2 +bx+c
The discriminant is b^2 -4ac
a=7 b=-8 c=3
b^2-4ac = (-8)^2 -4(7)(3) = 64 - 84 = -20
Since this is negative, we have imaginary roots
The table shows values for functions f(x) and g(2)
What is the solution to f(x) = g(x)?
Select each correct answer.
X= -2
X= -1
X= 0
X= 1
X= 2
Answer:
The solutions are x=0, x=1
Step-by-step explanation:
we know that
The solution of the equation f(x)=g(x)
are the values of x when the value of f(x) is equal to the value of g(x)
Observing the table
For x=0
f(0)=1 and g(0)=1
so
For x=0 ------> f(x)=g(x)
For x=1
f(1)=1/2 and g(1)=1/2
so
For x=1 ------> f(x)=g(x)
therefore
The solutions are x=0, x=1
Which is the approximate difference in the tenths between?
Answer:
0.4
Step-by-step explanation:
0.2 is too small, and everything above 1.0 is too big, so by default, must be 0.4
What is the absolute value of….
1. |-5|?
2. |13|?
3. |25|?
4.|-7|?
Answer:
1. 5
2. 13
3. 25
4. 7
Step-by-step explanation:
|-5|=5
|13|=13
|25|=25
|7|=7
The sum of two numbers is 21.
The second number is six times the first number.
Work out the two numbers.
Answer:
Pretend that x and y represents the 2 numbers that we need to find.
According to the information, we know that:
x + y = 21
6x = y
Replace y in the first equation with 6x (because they are equal to each other according to the second equation):
x + y = 21
x + 6x = 21
7x = 21
x = 21/7 = 3
Now have two ways to find y, both will give us the same result:
3 + y = 21 ⇔ y = 21 - 3 = 18
6 · 3 = y ⇔ y = 18
So the numbers that we need to find are 3 and 18.
Answer:
3 and 18.
Step-by-step explanation:
If one number is x then the other is 6x.
So, x + 6x = 21
7x = 21
x = 3.
The other number is 21 - 3 = 18.
if 1/64=4^2s-1 * 16^2s+2 what is the value of s?
a) -1
b)0
c)1
D) no solution
Answer:
its A :(
Step-by-step explanation:
I need help with finding the arc measure of this problem.
Answer:
180+69=249
I got 180 from the ABC, that is half the circle then + the 69
7,125,000,000. What is this to the nearest billion?
Answer:
7 billion
Step-by-step explanation:
Rounding decreqases when number is under 5 and if its above (Ex, 7,685,000,000) it is rounded to 8 billion. But here, it is under 5 so it is 7 billion.
Answer:
7,000,000,000
Step-by-step explanation:
Note the Billions place value. 7 is in the billions place value. To find out if you round up or down, look at the place value directly to the right of the one you are trying to find, in this case, being the hundred million place value. The value inside the hundred million place value is a 1.
Note that the number has to be 5 or greater to round up, or else you round down. Because 1 < 5, you round down.
7,125,000,000 rounded to the nearest billion is 7,000,000,000.
~
Which of the following is a monomial?
Answer:
[tex]20x^{11}[/tex]
Step-by-step explanation:
An expression in algebra that contains one term is called a monomial.
These include numbers, whole numbers and variables that are multiplied together.
Any number, a whole number without variables can also be monomial, like 32, 5236 etc.
So, here the monomial is [tex]20x^{11}[/tex].
Option (A) represents a monomial which has only one term option (A) 20x¹¹ is correct.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
As we know in the monomial there will be only one term.
Option (C) and Option (D) contains two terms so they are not monomial.
Option (B) contain fractional term.
Thus, option (A) represents a monomial which has only one term option (A) 20x¹¹ is correct.
Learn more about Polynomial here:
brainly.com/question/17822016
#SPJ5
Find the distance between the points given. (0, 6) and (5, 12) √145 √61 √11
Answer:
√61
Step-by-step explanation:
Distance between 2 points (x1, y1) and (x2,y2) is given by
Distance = √ [ (x2-x1)² + (y2-y1)² ]
in our case, x1 = 0, y1 = 6, x2 = 5, y2 = 12
Distance
= √ [ (5-0)² + (12-6)² ]
= √ [ (5)² + (6)² ]
= √ 61
Answer:
√61
Step-by-step explanation:
The distance between two points is given by
d = sqrt( (x2-x1)^2 + (y2-y1)^2)
= sqrt( (5-0)^2 + (12-6)^2)
=sqrt( 5^2 + 6^2)
= sqrt(25+36)
= sqrt(61)
What is the length of each leg of the triangle?
Answer:
the answer you selected is correct
Step-by-step explanation:
this is a special right triangle. to find the other sides that will be equal to each other you can divide by square root of two so then you have to put the square root in the numerator and so you multiply by square root of 2 over square root of 2 which equals one technically so then you get 22 square root of 2 over 2 which simplifies to 11 square root over two
What is the image of (1, -6) for a 180° counterclockwise rotation about the origin?
a( -1,-6)
b( -1,6)
c(6,1)
d( -6,-1)
Answer: option b
Step-by-step explanation:
It is important to know that, by definition, the rule for 180 degrees counterclockwise rotation is:
[tex](x,y)[/tex]→[tex](-x,-y)[/tex]
Therefore, given the point (1, -6) we can find the image obtained for for a 180° counterclockwise rotation about the origin by applying the rule mentioned before.
Then, the image is:
[tex](1,-6)[/tex]→[tex](-(1),-(-6))=(-1,6)[/tex]
Answer:
The correct answer option is b. ( -1, 6).
Step-by-step explanation:
We are given a point which is rotated 180 degrees counterclockwise about the origin (0, 0). We are to find the coordinates of the image of this point after the rotation.
The rule for rotating a point 180 degrees counterclockwise is:
(x, y) ---> (-x, -y)
So for the given point, the coordinates of the image will be:
(1, -6) ---> (-1, -(-6)) ---> (-1, 6)
A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?
–7
–1
1
7
Answer:
-1Step-by-step explanation:
[tex]f(1)=-4\\\\f(n+1)=f(n)+3-\text{the next term is 3 bigger than the previous one}\\\\f(2)=-4+3=-1[/tex]
The circumference of a circle is 28π inches. What is the length of the radius of this circle?
14 in.
21 in.
28 in.
56 in.
Please help fast
Answer:
The radius of the circle is 14 inches.
Step-by-step explanation:
How is the circumference of a circle related to its radius?
[tex]\displaystyle \text{Circumference} = \pi\times \text{Diameter} = \pi\;(2\times \text{Radius})[/tex].
In brief,
[tex]\text{Circumference} = 2\pi\times \text{Radius}[/tex].
For this question,
[tex]\text{Circumference} = 28\pi[/tex], and[tex]\text{Radius}[/tex] needs to be found.Divide both sides of the equation by [tex]2\pi[/tex]:
[tex]\displaystyle \frac{\text{Circumference}}{2\pi} = \text{Radius}[/tex].
[tex]\displaystyle \text{Radius} = \frac{\text{Circumference}}{2\pi} = \frac{28\pi}{2\pi} = 14[/tex].
In other words, the radius of this circle is 14 inches.
indicate the equation of the line through (2,-4) and having slope off 3/5.
By using the concept of slope of a Straight line,we arrive to the conclusion that the equation of line through (2,-4) and having slope off 3/5 is y = - (1/2)x - 26/5.
The slope of this Straight line is given as=3/5
Thus,the equation of the straight line becomes y=(3/5)x [tex]+[/tex]c.
Now,if substituting the Slope of the line in the equation of this line.
y=(3/5)x [tex]+[/tex]c.
In the point(2,-4):
-4=(3/5)(2) [tex]+[/tex] c
-4=(6/5) [tex]+[/tex] c
c=-4-(6/5)
= - 26/5
Therefore, the final equation is y= - (1/2)x - 26/5
To learn more about Straight line,
brainly.com/question/31693341
If f(x) = 3х -2 and g(x) = 2х+4 , find (f - g)(x).
ОА. Эх? - 2х - в
ов. 2x – 3х -2
Ос. х2 +2
OD. зх. -2x+2
Answer:
(f - g)(x) = x - 6Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
We have f(x) =3x - 2 and g(x) = 2x + 4. Substitute:
(f - g)(x) = (3x - 2) - (2x + 4)
(f - g)(x) = 3x - 2 - 2x - 4 combine like terms
(f - g)(x) = (3x - 2x) + (-2 -4)
(f - g)(x) = x - 6
Can someone please help me wit this
The slope of the line below is 4. Which of the following is the point-slope form
of the line?
(-3,-4)
A. y+ 4 = 4(x+3)
B. Y-4 =-4(x-3)
C. y-4= 4(x-3)
D. Y+4 = -4(X+3)
Answer:
A: y+4=4(x+3)
Step-by-step explanation:
Point-Slope Formula:
y-y1=m(x-x1)
Substitute:
y-(-4)=4(x-(-3))
-(-)=+
P: y+4=4(x+3)
The exponential curve of best fit is given as y = 4(7)*. Find the value of y when x= 3.
Answer:
1372
Step-by-step explanation:
y=4(7)^3
You multiply 7x7x7 which gives you 343
Now you plug that in.
y=4(343)
Multiply it and you get
y=1372
What’s the answer?????????????
Answer:
1) binomial
2) monomial
Step-by-step explanation:
mono-think one
bi-think two
tri-think thee
poly-1 or more
So 1 goes with binomial
and 2 goes with monomial
See if you can figure out 3 and 4
I can check them.
each exterior angle of a regular polygon measures 45 degrees. how many sides does the polygon have
Answer:
8
Step-by-step explanation:
to find the number of sides when you are given an exterior angle you divide 360 (because that's what all exterior angles equal) by the one exterior angle you were given. in this case 360/45=8
Answer:
8 sides
Step-by-step explanation:
because you use the formula for exterior angles; [tex]\frac{360}{n}[/tex], you plug in the number of sides in the denominator and then divide 360 by n
A transformation T : (x,y) (x-5,y +3) the image of A(2,-1) is
[tex]A'=(2-5,-1+3)=(-3,2)[/tex]
(50points!!please help!)
Answer:
21.16
Step-by-step explanation:
First find the tax
16.40 * 9%
16.40 *.09 = 1.476 = 1.48
Then we need to find the tip
16.40 *20%
16.40 *.20 = 3.28
The total is the bill plus tax plus tip
16.40 + 1.48 + 3.28
21.16
What is a correct first step in solving the inequality-4(3-5x)>-6x+9
Answer:
The first step will be to open the bracket i.e multiply -4 with 3 and -5x which is also called distributive law
Step-by-step explanation:
-4(3-5x)>-6x+9
We need to solve the above inequality
The first step will be to open the bracket i.e multiply -4 with 3 and -5x which is also called distributive law
(-4*3) (-4*-5x) >-6x+9
-12 +20x >-6x+9
-12 + 20x >-6x+9
The next step will be to add +12 on both sides
-12 + 20x +12 >-6x+9+12
20x >-6x+21
The next step will be to add +6x on both sides
20x +6x > -6x+21 +6x
26x > 21
x > 21/26
Can someone please help me out with this question??
Answer:
Step-by-step explanation:
1176 - 168 =1008 1176 + 1008= 2134
hours:2134 = 3 weeks
hours: 1176 = 2 weeks