Answer:
y = - [tex]\frac{3}{2}[/tex] x + 1
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 = [tex]\frac{2}{3}[/tex] x + [tex]\frac{2}{3}[/tex] ← is in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex]
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}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex] , then
y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (- 2, 4) into the partial equation
4 = 3 + c ⇒ c = 4 - 3 = 1
y = - [tex]\frac{3}{2}[/tex] x + 1 ← equation of line
help me with the question of o.math
Answer:
A= 5 8 11
7 10 13
11 14 17
x=3 y=2 z=-1 w=1/2
Step-by-step explanation:
Let matrix A= a11 12 13
a21 a22 a23
a31 a32 a33
aij=2^i+3j
When i=1 and j=1,
aij=2^1+3*1=2+3=5
Solve for all the elements and you'll get,
A= 5 8 11
7 10 13
11 14 17
For no 7,
x+y 0 = 5 2w-1
1 x-y z+2 1
Equating,
x+y =5 z+2=1 2w-1=0 x-y=1
x=5-y z=-1 w=1/2 From 1st 5-y-y=1 -2y=-4 y=2
x=5-2(from last)
x=3
What is the equation of the line represented by the table below?
Х
-2
-1
0
1
2
y
16
11
6
1
-4
O A. y = -5x+9
B. y = -3x - 5
O C. y = -5x + 3
D. y = -5x + 6
Answer:
D. y = -5x + 6
Step-by-step explanation:
If we replace the values of x in the expressions we can find y. By replacing the values of x we see that the only option that has the correct values of y is the option D.
hello could you please help me with this math problem with full explanation which I am unable to solve? Thanks a lot.
Area of a square is side^2
Diagonal of a square is sqrt(2) x side
Using this rewrite the area formula as :
1/2 x diagonal^2
Area = 1/2 x 40^2 = 800
Area = 800 m^2
Answer = b) 800m^2
HELLLLPPPPP PLZZZZ!!!!
Answer:
width = 5 ft
Step-by-step explanation:
1.9 times of width = length
1.9*w = 9.5 ft
1.9w = 9.5
Divide both sides by 1.9
w = 9.5/1.9
w = 5 ft
Answer:
1.9w=9.5
w=width
1.9(w)=9.5
1.9(5)=9.5
Width(w)=5
Can you guys helppppppppppppp
Step-by-step explanation:
to find this angle you can use the sin ratio seeing that the opposite has been given which is 35 and the hypotenuse which is 48.so the solution will be
sin?=opposite/hypotenuse
sin?=35/48
sin?=0.729
?=sin inverse of 0.729
?=46.8 rounded off to 47°
I hope this helps
Hi
in application of sinus formula : ( must learn your trigonimetric formulas by heart !)
value of ? is sin^(-1) = (35/48) = 46,8. so 47 when rounded to the nearest degree
they sold $62 by selling 4 adult tickets and 2 student tickets. find the cost of an adult ticket.
Answer:
Because this question was posted 4 days ago I'm assuming that you Oliver don't need any help anymore,... BUT,... with the amount of info given it is not possible to answer the question for example,...
They could sell: 4 adult tickets costing $15 each and 2 student ones cost $1 dollar each,...All of that adding up to $64
Or they could sell: 4 adult tickets costing $10 each and 2 student ones cost $11 dollar each,...All of that adding up to $64
OR still (you're probably annoyed by now,... sorry) they could sell: 4 adult tickets costing $6 each and 2 student ones cost $19 dollar each,...AND All of that adding up to $62
You get the point,... Hope that helped and see you in life,... (well actually because we're probably never going to meet each other in real life then no I probably won't see you in life,... but, I mean, you get the idea) Chow!
x^2= 14x +11
------------
Answer:
[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]
Step-by-step explanation:
[tex]x^{2} =14x+11[/tex]
[tex]x^{2} -14x-11=0[/tex]
[tex]x\frac{-b\pm\sqrt{b^{2} -4ac} }{2(a)}[/tex]
[tex]x=\frac{14\pm\sqrt{(-14)^{2} -4(1)(-11)} }{2(1)}[/tex]
[tex]x=\frac{14\pm\sqrt{240} }{2}[/tex]
[tex]x=\frac{14\pm4\sqrt{15} }{2}[/tex]
[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]
------------------------
OAmalOHopeO
-----------------------
Answer:
Solution given:
x²=14x+11
keeping all term on same side
x²-14x-11=0
trying to make it a perfect square
x²-2*7*x+7²-7²-11=0
By using formula of (x-y)²=x²-2xy+y²we get
(x-7)²-60=0
keeping 60 in right side
(x-7)²=60
doing square root on both side
[tex]\frac{(x-7)²}=\sqrt{60}[/tex]
we get
x-7=[tex]\sqrt{5*3*2*2}[/tex]
x-7=±2[tex]\sqrt{15}[/tex]
So
x=7±2[tex]\sqrt{15}[/tex]
Either
x=7+2[tex]\sqrt{15}[/tex]or
x=7-2[tex]\sqrt{15}[/tex]Triangle ABC has a height of 8 cm and an area of 42cm².
Calculate the length of BC.
BC must be base
Height=8cmArea=42cm^2We know
[tex]\boxed{\sf Area_{(Triangle)}=\dfrac{1}{2} Height\times Base}[/tex]
[tex]\\ \sf\longmapsto 42=\dfrac{1}{2}8BC[/tex]
[tex]\\ \sf\longmapsto 4BC=42[/tex]
[tex]\\ \sf\longmapsto BC=\dfrac{42}{4}[/tex]
[tex]\\ \sf\longmapsto BC=10.5cm[/tex]
BC must be base then
Area: 42cm²
Height: 8cm
Base: BC
1/2 × b × h = 42
1/2 × b × 8 = 42
b = 42/4
b = 21/2
BC = 21/2 or 10 1/2
Or 10.5cm
Must click thanks and mark brainliest
A marina is in the shape of a coordinate grid. Boat A is docked at (2.4, -3) and Boat B is docked at (-3.4, -3). The boats are ___ units apart.
A 5.8
B 6.4
C 8.8
D 9.4
Please Help!!!!!
Prove that polynomials are not closed under division.
please help! need the answers in order to move on:) will give brainliest to correct answer!
Answer:
[tex]27^{\frac{1}{5} }[/tex] = [tex]\sqrt[5]{27}[/tex]
[tex]\sqrt[4]{256} = \sqrt[4]{2^{8} } = 2^{2} = 4[/tex]
[tex]a^{\frac{b}{c} } = \sqrt[c]{a^{b} }[/tex]
[tex]\sqrt[3]{125^{2} } = \sqrt[3]{ (5^{2})^{3} } = 5 ^{2} = 25[/tex]
[tex]\sqrt{112} = \sqrt{2^{4} * 7 } = 4\sqrt{7}[/tex]
Step-by-step explanation:
HELP! Select the reason why these triangles are
similar. If they are not, select "Not similar."
10
800
22
15
800
33
B. SAS
A. AA
D. Not similar
C. SSS
Answer:
SAS
Step-by-step explanation:
Could someone help me solve this
the set is points indicated by 10. is the ___of the angle
Answer:
the points indicats exterior of the angle
What is the length of AC?
Because all the angles are congruent (the same), this is an equilateral triangle. All equilateral triangles have congruent angles and congruent sides, so all sides has to be 14.
How do you solve number 5?
Answer:
B
Step-by-step explanation:
To get from 60 to 75, you multiply by a certain factor. That factor is 75/60 = 1.25. In percents this is 125%
60 * 125% = 75
So if 60 is 100%, then 75 is 25% more than 60.
-1/2 divided by 1/19
Answer:
-19/2 or
-9 1/2
Step-by-step explanation:
-1/2 ÷ 1/19
Copy dot flip
-1/2 * 19/1
-19/2
-9 1/2
can anyone give me the inverse function of this with an explanation? BRAINLIESt?
fx=2-x^3
Answer:
Inverse of f(x) is ³√2-x
Step-by-step explanation:
let the inverse of f(x) be m :
[tex]{ \tt{2 - {x}^{3} = m}} \\ [/tex]
make x the subject:
[tex]{ \tt{ {x}^{3} = 2 - m}} \\ { \tt{x = \sqrt[3]{2 - m} }}[/tex]
substitute x for m:
[tex]{ \bf{f {}^{ - 1}(x) = \sqrt[3]{2 - x} }}[/tex]
Answer:
[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]
Step-by-step explanation:
One is asked to find the inverse of the following function:
[tex]f(x)=2-x^3[/tex]
Keep in mind, finding the inverse of a function is the same as finding the function's opposite. Any easy trick to do so is to take the function and solve it for (x) in terms of (f(x)). This can be done using inverse operations and simplification. Once one has solved this function for (x), then one will put it in inverse function notation. Apply this idea to the given function,
[tex]f(x)=2-x^3[/tex]
[tex]f(x)-2=-x^3[/tex]
[tex]2-f(x)=x^3[/tex]
[tex]\sqrt[3]{2-f(x)}=x[/tex]
Put in inverse function notation,
[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]
PLEASE HELP ASAP!!
Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.
A. 146.85 units²
B. 45+9√3 units²
C. 36+9√3 units²
D. 36+3√3 units²
The total surface area of the pyramid is 52 square units
The formula for calculating the area of the triangular based pyramid is expressed as;
[tex]TSA=Base \ Area+\frac{1}{2}ps[/tex] where;
p is the perimeter of the base
s is the slant height
Get the Base area
[tex]Base \ Area = \frac{1}{2}bh\\Base \ Area = \frac{1}{2}*6*\sqrt{5^2-3^2} \\ Base \ Area = \frac{1}{2}*6*\sqrt{25-9} \\ Base \ Area = \frac{1}{2}*6*\sqrt{16} \\ Base \ Area = \frac{1}{2}*6*4 \\ Base \ Area = \frac{24}{2} \\Base \ Area = 12 units^2[/tex]
Get the perimeter
Perimeter = 5 + 5 + 6
Perimeter = 16 units
Slant height = 5units
Substitute the given values into the formula above as shown;
[tex]TSA=12+\frac{1}{2}*16*5\\TSA=12+(8*5)\\\\TSA = 12 + 40\\TSA = 52 units ^2[/tex]
Hence the total surface area of the pyramid is 52 square units
Learn more here: https://brainly.com/question/23353623
Answer:
52squnits
Step-by-step explanation:
Part B: How much time does Eric spend playing volleyball every day? Show your work. (3 points)
Answer:
b = 35 minutes
Step-by-step explanation:
A)
How long he plays basketball = x
How long he plays volleyball = y
x + y = 95
x = y + 25
B) We will replace (x = y + 25) as x in the first equation
(y + 25) + y = 95
2y + 25 = 95
2y = 95-25
2y = 70
y = 70/2
y = 35
He plays volleyball for 35 minutes everyday
answered by g a u t h m a t h
Triangles and angles
Pls help
Answer:
The two bottom angles of this triangle are both represented by the same variable, in this case, an x. This means, that both of the bottom angles are equal to each other.
So we have:
32 + x + x = 180 (since the TOTAL angles of a triangle adds up to 180)
32 + 2x = 180 (combine the 2 x's together)
2x = 148 (subtract a 32 from both sides)
x = 74
Let me know if this helps!
the function h(x) is a transformation of the square root parent function
Answer:
h(x)=\sqrt(x+6)
Step-by-step explanation:
I just did the test for a p e x
1/5√75 -10√1/2+√125-2√1/2
Answer:6.91239069507
Step-by-step explanation:
I need two people to help me… brainliest….
I need a written response to solve all 4 steps
a. Find the slope of the line that passes through the points (2,-5) and (-2,3).
b. What are the slope and y-intercept of the equation 2x - 5y = -10?
c. Find the x value so that the line through the points (x,-9) and (0,1) has a slope of -4.
d. Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b.
Answer:
a. -2
b. s = 2 and y = -5
c. (2.5, -9)
d. -7x - 2
Step-by-step explanation:
a. In the image, I have used rise over run, which is -8/4 or -2.
b. slope formula is mx + b = y, where m is slope and b is the y-intercept. In the equation 2x - 5y = -10, 2 is the slope and -5 is the y-intercept.
c. Plug in all given numbers into an equation and the ones you do not have will be in the points you need it to be. Once you graph the equation you will receive (2.5, -9).
d. y = mx + b
5 = (-7)(-1) + b
5 = 7 + b
-2 = b
y = -7x - 2
If y = 3x +1 were changed to y = x+1, how would the graph of the new function
compare with the original?
A. It would be shifted down.
B. It would be shifted up.
C. It would be less steep.
D. It would be steeper.
Answer:
Step-by-step explanation:
The standard form of a linear equation, a line, is y = mx + b, where m is the slope. The rule is the higher this value of m, the steeper the graph is. If we have the original equation y = 3x + 1, its slope m is 3; in the "new" equation, y = x + 1, its slope is 1. So the "new" equation would be less steep because the slope is a lower value than the original.
Banking You are going to open a certificate of deposit (CD) that earns simple
interest. One bank offers a CD in which you must deposit $500 for 3 years with
2% interest. Another bank offers a CD in which you must deposit $250 for
4 years
with 3% interest. Which CD will earn more interest?
Answer:
They will earn equal profit
Step-by-step explanation:
Intrest given by first bank=(500*3*2)/100=30
Intrest given by second bank=(250*3*4)/100=30
please help me!!!!! its very very important!
Answer:
Does the answer help you?
Find the slope of the line that passes through (1, 13) and (4,9)?
Which set of whole numbers but not natural numbers
Answer:
C
Step-by-step explanation:
C is the set with whole numbers as it contains 0 and natural numbers