Answer:
1. the Equation of vertical line=> x=3
2. the Equation of horizontal line
=> y = 4
Answer:
y=4
Step-by-step explanation:
Factorise completely the expression below: 6ax+12by-9ay-8bx
Answer:
Step-by-step explanation:
6ax +12by -9ay -8bx
=6ax -8bx -9ay +12by
=2x(3a -4b)-3y(3a -4b)
=(2x-3y)(3a-4b)
help with the question below please!!
Answer:
a.= 24 b.=-21 c. is x=-7 or 3
Step-by-step explanation:
Step-by-step explanation:
a) f(5)= 5² + 4 x 5 -21
=24
b) f(0)= 0² + 4 x 0 -21
= -21
c) f(x)= 0
=> x² + 4x -21 =0
=> x = 3, x= -7
Write the equation of a line perpendicular to y = -5x + 1 that goes through (10. 4).
Show all work.
Answer:
y = 1/5x + 2
Step-by-step explanation:
y = 1/5x + b
4 = 1/5(10) + b
4 = 2 + b
2 = b
A salesman is paid $450 a week, plus a commission of 35 cents for every item that he sells. Write a linear function where the paycheck, P, of the salesman is a function of the number, N, of items he sells. If the salesman only has 1400 items available to sell each week, find the domain and range of the function.
Answer:
Step-by-step explanation:
1400×0.35
490+450
940
Answer:
The domain is thus [0, 1400].
The range is thus [$450, $940]
Step-by-step explanation:
A suitable function is P(N) = ($450) + ($0.35 / item)*N, where $450 is the base pay per week and N is the number of items sold.
In this case the salesman has only 1400 items available to sell each week. Therefore N begins at 0 (no items to sell) and ends at 1400 (the max number of items available to sell). The domain is thus [0, 1400].
The smallest amount the salesman could receive would be when he has not sold any items: $450.
The max amount is then $450 + ($0.35/item)(1400 items), or
$450 + $490, or
$940
The range is thus [$450, $940]
Area of the grass area only:
Area of the track only:
Answer:
Step-by-step explanation:
area including track=area of 2 semi circles+area of rectangle
=2×1/2×π×46²+86×65
=2116 π+5590
area of grass=2×1/2×π×40²+80×65=1600π+5200
≈10226.55 m²
area of track=2116π+5590-1600π-5200
=516π+390
≈2011.06 m²
If K(4,-5) is rotated counter clockwise 270°, what will be the coordinates of its image?
K'(5,-4)
K'(5, 4)
K'(-4,5)
K'(-5,-4)
Answer:
(-5, -4)
Step-by-step explanation:
The formula for a point (x, y) rotating 270 degrees counterclockwise is that it turns into (y, -x). Thus, for (4, -5), its image would be (-5, -4)
b) Write 25 x 10^6 in standard form.
Answer:
25000000
hope this helps
have a good day :)
Step-by-step explanation:
Solve for b. -11b+7 =40 what does b equal
State the mathematical properties of all the steps in the equation below.
(2x + 3) − 7 = 8 + x Problem Statement.
(2x + 3) + (−7) = 8 + x _____________
((2x + 3) + (−7)) + 7 = (8 + x) + 7_____________
(2x + 3) + (−7 + 7) = (8 + x) +7 _____________
(2x + 3) + 0 = (8 + x) + 7 _____________
2x + 3 = (8 + x) + 7 _____________
2x + 3 = 7 + (8 + x) _____________
2x + 3 = (7 + 8) + x _____________
2x + 3 = 15 + x _____________
(2x + 3) + (−3) = (15 + x) + (−3) _____________
2x + (3 + (−3)) = (15 + x) + (−3) _____________
2x + 0 = (15 + x) + (−3) _____________
2x = (15 + x) + (−3) _____________
2x = (−3) + (15 + x) _____________
2x = (−3 + 15) + x _____________
2x = 12 + x _____________
2x + (−x) = 12 + x + (−x) _____________
2x + (−x) = 12 + 1 · x + (−x) _____________
2x + (−x) = 12 + 1 · x + (−1) · x _____________
2x + (−x) = 12 + (1 + (−1))x _____________
2x + (−x) = 12 + 0 · x _____________
2x + (−x) = 12 + 0 _____________
2x + (−x) = 12 _____________
2x + (−1) · x = 12 _____________
(2 + (−1)) · x = 12 _____________
1 · x = 12 _____________
x = 12 Solution
Answer:
173*3*j3
Step-by-step explanation:
naksbvajahagcgaja
Answer:
HIHHIHIHIHIHIHIHIH
Step-by-step explanation:
IHIHIHIHIHIHIHIHIH
1 + 4.25n + 3/2p – 3 + (–2p) + 5/4n simplify
A. 5.5n – 1/2p – 2
B. 9.5n + 1.5p – 2
C. 9/4n − 1.5p − 4
D. 3.75n – p + 1
[tex]\longrightarrow{\green{A.\:5.5 \: n - \frac{1}{2} \: p - 2}}[/tex] ✔
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]1 + 4.25 \: n + \frac{3}{2} \: p - 3 + ( - 2 \: p) + \frac{5}{4} \: n [/tex]
Combining like terms, we have
[tex] = 4.25 \: n + \frac{5}{4} \: n + \frac{3}{2} \: p - 2 \: p + 1 - 3 \\ \\= 4.25 \: n + 1.25 \: n + 1.5 \: p - 2 \: p - 2 \\\\ = 5.5 \: n - 0.5 \: p - 2 \\ \\ = 5.5 \: n - \frac{1}{2} \: p - 2[/tex]
[tex]{\huge{\boxed{\sf{\pink{Mystique35}}}}}[/tex]
Martha has two pet poodles. Fifi, her standard poodle, weighs 7 times as much as
Buttercup, her toy poodle.
Pick the diagram that models the ratio in the story.
Fifi
Buttercup
Fifi
Buttercup
If Fifi weighs 56 pounds, how much does Buttercup weigh?
pounds
Answer:
Buttercup weighs 8 pounds
Step-by-step explanation:
Sorry I can't pick a diagram, since we can't see a photo.
if b is Buttercup and f is Fifi, substitute in Fifi's weight, and solve for b
b x 7 = f
7b = 56
divide both sides by 7
b = 8
Could someone help me with 2, 9, 10, 11, 12 13, and 14?
Answer:
13. (1) x + 8x = 32
14. $337.5
Step-by-step explanation:
14. $270 x 0.25 = 67.5
270 + 67.5 = 337.5
I am sorry. I only got these-
8.
Which quadratic function is shown in the graph below?
what is the value of x?
Answer:
6 sqrt(3) = x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 60 = x/12
12 sin 60 =x
12 ( sqrt(3)/2) =x
6 sqrt(3) = x
Answer:
x=6[tex]\sqrt{3}[/tex]
Step-by-step explanation:
take 60 degree as reference angle
using sin rule
sin 60=opposite/hypotenuse
[tex]\sqrt{3[/tex]/2=x/12
do cross multiplication
2*x=12*[tex]\sqrt{3}[/tex]
x=12[tex]\sqrt{3}[/tex] /2
x=6[tex]\sqrt{3}[/tex]
pa help po............. ............
Answer:
ΔABC
∠9 = ∠19 + ∠21
∠7 = ∠20 + ∠21
∠8 = ∠19 + ∠20
ΔXYZ
∠3 = ∠11 + ∠12
∠5 = ∠10 + ∠12
∠4 = ∠10 + ∠11
ΔNOR
∠1 = ∠5 + ∠6
∠2 = ∠ 4 + ∠5
∠3 = ∠4 + ∠6
Step-by-step explanation:
According to the exterior angle theorem, the exterior angle of a triangle is equal in measurement to the sum of the two interior angles of the triangle;
In triangle ΔABC, we have;
∠9 = ∠19 + ∠21
∠7 = ∠20 + ∠21
∠8 = ∠19 + ∠20
In triangle ΔXYZ, we have;
∠3 = ∠11 + ∠12
∠5 = ∠10 + ∠12
∠4 = ∠10 + ∠11
In triangle ΔNOR, we have;
∠1 = ∠5 + ∠6
∠2 = ∠ 4 + ∠5
∠3 = ∠4 + ∠6
have no idea how to do this
Answer:
ans: option C is correct answer
Step-by-step explanation:
follow steps as shown in picture above,
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?
The question is incomplete, the complete question is:
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?
x + 3y = 42
2x − y = 14
A: Multiply the second equation by -3. The solution is x = 12, y = 9.
B: Multiply the second equation by -2. The solution is x = 12, y = 10.
C: Multiply the second equation by 2. The solution is x = 15, y = 9
D: Multiply the second equation by 3. The solution is x = 12, y = 10
Answer: The correct option is D.
Step-by-step explanation:
The elimination method is a technique wherein we eliminate the coefficient of any one variable.
The given equations are:
x + 3y = 42
2x − y = 14
We multiply the second equation by (3) and the equations formed are:
x + 3y = 42
6x − 3y = 42
The final equation after eliminating the y-term becomes:
7x = 84
x = 12
Putting value of 'x' in any of the original equation, we get:
⇒ 12 + 3y = 42
⇒ 3y = 30
⇒ y = 10
Hence, the correct option is D.
What is the slope of the line shown?
Answer:
1/2
Step-by-step explanation:
Find the value of x.
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
The two given triangles, triangle (BDE) and triangle (BAC) share the angle (<B) in common. Moreover, their bases, line (DE), and line (AC) are parallel, this means that through the corresponding angles postulate, angles (<BDE) and (<BAC) are congrunet. Moreover, angles (<BED) and (<BCA) are also congruent. Thus, triangles (BDE) and (BAC) are similar through angle-angle similarity.
The ratio between the corresponding sides of similar triangles is the same. Therefore, one can form the following equation,
[tex]\frac{BD}{BA}=\frac{BE}{BC}[/tex].
Substitute,
[tex]\frac{BD}{BD+DA}=\frac{BE}{BE+EC}\\\\\frac{x+2}{x+x+2}=\frac{3}{3+2}[/tex]
Simplify,
[tex]\frac{x+2}{2x+2}=\frac{3}{5}[/tex]
Cross products,
[tex]5(x+2)=3(2x+2)\\[/tex]
Simplify, distribute, multiply every term inside the parenthesis by the term outside of it,
[tex]5x+10=6x+6[/tex]
Inverse operations,
[tex]5x+10=6x+6\\\\10=x+6\\\\4=x[/tex]
Application: Dana is planning to ride her bicycle around the circular race track and wants to know the distance. If the diameter of the track is 2 mile, how far is the distance around the race track?
Answer:
6.2831853071795864miles
~6.283
Step-by-step explanation:
Circumference of a circle=2πr
=2π×½×2mile
2×π×1mile
=6.2831853071795864miles
~6.283
Or, πd
=π×2miles
=6.2831853071795864miles
~6.283
Given the graph of the line, choose two points and find the slope. Construct the equations for each of the
points you chose in point slope form. Show your work and explain each step.
*The graph is in the picture *
PLEASE HELP I WILL GIVE BRAINLIST
Step-by-step explanation:
First, given that we must use point slope form, we can define that as
y - y₁ = m (x-x₁), with m being the slope .
To find the slope, we can use the equation
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]. Two points on the graph are (0, 1) and (1, 3). For these points, when calculating the slope, 0 and 1 represent x₁ and y₁ respectively, while 1 and 3 represent x₂ and y₂ respectively Using this formula, we can plug our points in to get
[tex]\frac{3-1}{1-0} = 2/1 = 2[/tex]
as our slope. Therefore, our equation is
y - y₁ = 2 (x-x₁).
For our first point, (0,1), we can simply plug 0 in for x₁ and 1 in for y₁ to get
y - 1 = 2(x-0) as one equation
Next, for (1,3) we can plug 1 for x₁ and 3 for y₁ to get
y - 3 = 2 (x-1) as our other equation
A pencil company packs pencils in boxes of 8. How many boxes can they pack with 32,000 pencils? *
A 40,000
B 4,000
C 400
D 40
Answer:
B: 4,000
Step-by-step explanation:
32000/8=4000
Answer:
4000
Step-by-step explanation:
32000/8............
Use SOH CAH TOA to find the missing side.
sin(43) × hypotenuse of 19 gives you oppo
= 13
A student recorded the following distance measurements 4.3 miles ,1.7 miles and 5.6 miles what are the total measurements recorded
Answer:
11.6 miles
Step-by-step explanation:
4.3 miles + 1.7 miles + 5.6 miles = (4.3+1.7+5.6)miles
= 11.6 miles
11. It refers to the information that supports the claim.
A. reference
B. evidence
C. cite
D. issue
Answer:
B. Evidence
Step-by-step explanation:
Reference: like when your drawing something and you want to make sure that you draw the hair the same way some other person did.
Cite: That’s when you give the credits to someone or something 90% sure
Hope this helps :)
Frank has $8000 that he plans to split into two investments. He wrote the following two equations to represent the interests he will earn from each of the two investment options.
Answer:
I still think you equations are wrong...
4000/4000 not 400/400
Step-by-step explanation:
2000 A+ 6000B=520
4000A+4000B =480
~~~~~~~~~~~~~~~~~~~~~
2000 A+ 6000B=520
-2000A - 2000B =-240
4000B = 280
B=7%
A=5%
A 12-foot ladder is leaning against a wall. The distance from the base of the wall to the base of the ladder is 6 StartRoot 2 EndRoot feet. Given this information, what can be determined about the triangle formed by the ground, wall, and ladder? Check all that apply.
Answer:
a
b
d
e
Step-by-step explanation:
he triangle is isosceles.
The leg-to-hypotenuse ratio is 1:StartRoot 2 EndRoot.
The leg-to-hypotenuse ratio is 1:StartFraction StartRoot 2 EndRoot Over 2 EndRoot. The nonright angles are congruent. The ladder represents the longest length in the triangle.
Answer:
a,b,d,e
Step-by-step explanation:
answer
if logx √2 = 1/6
, then x =?
Step-by-step explanation:
logx√2=1/6
<=> logx(2^1/2)=1/6
<=>1/2.logx(2)=1/6
<=>logx(2)=1/3
<=>2=x^1/3
<=>x=
Sorry I forgot the formula in the last step
Answer:
v= 331m/s +(0.6 m/s /°C)×T
Given,
T=40°C
Substituting the value of T we get,
v=331m/s +(0.6 m/s /°C)×40°C
= 331m/s +(0.6 m/s)×40
= 331m/s+(24.0)
=355m/s
Math help please thanks
Answer:
x = 10.5
Step-by-step explanation:
The first thing you have to do is to find out what you multiplied (say) 2 by to get 3.5 and then try it again with another number.
2k = 3.5 Divide by 2
k = 3.5 / 2
k = 1.75
Now try it on another number. What do you multiply 4 by to get 7
4k = 7 Divide by 4
k = 7/4
k = 1.75
So here's what's going on. If you multiply every dimension you are given on the left pentagon (it's not regular) by 1.75, you should get the corresponding number on the right.
To get x you need to multiply 6 by 1.75
x = 6*1.75
x = 10.5
Please help…………………………….
if i'm correct its 7x
Answer:
Domen is [ -2 , infinitely) or can be written as
-2 < x < infinitely in inequality form.
Step-by-step explanation:
if (x+2) is negative than function will be imaginary so to be real function (x+2) should be positive
hence answer is : Domen = -2 < x < infinitely or can be written as [ -2 , infinitely )