Answer:
[tex]y=3x-17[/tex]
Step-by-step explanation:
Parallel equations always share a slope.
So since we know the slope and a point the equation needs to pass through we can plug in the values and replace -8 with [tex]b[/tex]
[tex]-5=3(4)+b[/tex]
simplify both sides
[tex]-5=12+b[/tex]
isolate the variable
[tex]-17=b[/tex]
plug [tex]b[/tex] back into the equation and you get
[tex]y=3x-17[/tex]
Answer:
y = 3 x + 11
Explanation:
Parallel lines have the same slopes.
The slope of the new line will have the same slope as the given line:
y = 3 x − 4
⇒ m = 3
One point on the line is given,
( − 2 5 ) .
This is ( x 1 y 1 )
The formula for slope is
m = ( change in y values/ change in x-values ) = y 2 − y 1/ x 2 − x 1
If you have the slope and one point , substitute them into a formula which is based on the formula for slope given above.
y − y 1 = m ( x − x 1 )
y − 5 = 3 ( x − ( − 2 ) )
y − 5 = 3 ( x + 2 )
Simplify to get the required equation of the line.
y = 3 x + 6 + 5
y = 3 x + 11
Step-by-step explanation:
If a quadratic equation is written in intercept form, y = (x-3)(x+5), then vertex is at...
Answer:
The vertex is at (-1, -16).
Step-by-step explanation:
We are given the quadratic equation:
[tex]y = (x-3)(x+5)[/tex]
And we want to find its vertex.
Recall that the x-coordinate of the vertex is also the axis of symmetry. Since a parabola is symmetric about the axis of symmetry, the axis of symmetry is halfway between the two roots.
From the equation, we can see that our two roots are x = 3 and x = -5.
Hence, the axis of symmetry or the x-coordinate of the vertex is:
[tex]\displaystyle x = \frac{(3) + (-5)}{2} = -1[/tex]
To find the y-coordinate of the vertex, evaluate the equation at x = -1:
[tex]\displaystyle \begin{aligned} y(-1) &= ((-1)-3)((-1)+5)\\ &= (-4)(4) \\&= -16\end{aligned}[/tex]
Hence, the vertex is at (-1, -16).
Help me with these questions plz
Answer:
Step-by-step explanation:
2) Cost Price = CP = $ 35
Tax = $ 3.29
Tax percent = [tex]\frac{tax}{CP}*100[/tex]
[tex]= \frac{3.29}{35}*100\\\\[/tex]
= 9.4 %
Total amount paid by Ian = CP + tax = 35 + 3.29
= $ 38.29
3) Price of the order = $ 56.50
Shipping cost % = 3 % = 0.03
Shipping cost = price of the order * shipping cost %
= 56.5 * 0.03
= 1.695
= $ 1.70
Total cost = Price of the order + Shipping cost
= 56.5 + 1.70
= $ 58.20
4) Bill amount = $ 26
Tip % = 18%
Tip amount = Tip % * bill amount
[tex]= \frac{18}{100}*26\\[/tex]
= $ 4.68
5) commission% = 3.5 %
Commission amount = commission% * Sales
[tex]= \frac{3.5}{100}*50000[/tex]
= $ 1750
Base salary for a week = $400
Base salary for two weeks = 400 * 2 = $ 800
Emmett's earning for this two weeks period = Base salary for two weeks + commission
= 800 + 1750
= $ 2550
6) Tax % = 10.25 %
Purchase amount = $ 310.50
Tax = Tax% * Purchase amount
[tex]= \frac{10.25}{100}*310.50[/tex]
= $ 31.83
Total = Purchase amount + Tax
= 310.50+ 31.83
= $ 342.33
HELP ASAP ILL GIVE BRAINLIST
t/f Elimination will give you an exact answer to a system of equations.
t/f If substituting the test point produces a false solution, we shade on the opposite side of the line.
Answer:
TRUE Elimination will give you an exact answer to a system of equations.
FALSE If substituting the test point produces a false solution, we shade on the opposite side of the line.
What is his weekly allowance if he ended with $15?
Which graph represents the solution set to the following system of linear
inequalities?
ys2x+7
y>-3x-2
PLSS HELP!
Answer:
Step-by-step explanation:
I am not sure what your first inequality is saying y≤2x +7 or y≥2x+7
-the equation y> -3x-2 , has a negative slope m= -3 (the line is going down from left to right if is a negative slope) and it has to be a dotted line( <, or > is a dotted line, ≤, or ≥ is a solid line) so the answer must be either A or D
-if the second equation is y≤2x +7 then the answer is D because y has to be less than 2x+7 the area under the line will be include in the solution
--if the second equation is y≤2x +7 then the answer is A because y has to be greater than 2x+7 the area above the line will be include in the solution
Answer:
1 4/5
Step-by-step explanation:
2x+7>-3x-2
2x+3x>-2-7
5x/5>-9/5
=1 4/5
Thanks Hope It Help
Divide : 12a²b³ 6a²b by 3ab
Answer:
easy
Step-by-step explanation:
4ab³6a²b
Answer:
[tex] \frac{12 {a}^{2} {b}^{3} 6 {a}^{2}b }{3ab} \\ thank \: you[/tex]
hello could you please help me with this math problem with full explanation which I am unable to solve? Thanks.
Answer:
8 / sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan A = BC / AC
tan 30 = BC / 8
8 tan 30 = BC
8 * sqrt(3)/3 = BC
8/3 sqrt(3) = BC
James defines an angle as "a figure consisting of two rays." His statement is not precise enough because he should specify that
the rays must be collinear
the rays must form a right angle
the rays must have a common endpoint
the rays must continue in one direction forever
Statement: If two noncollinear rays join at a common endpoint, then an angle is created. Which geometry term does the statement represent?
Defined term
Postulate
Theorem
Undefined term
James should define that the rays must be collinear. the two rays coming from the same point will form collinear rays which will form an angle at end point.
The statement of james should be precise in order to clearly explain the angle formation.
The two non collinear rays will form an angle at end point where they meet with each other.
The defined vertex will form the appropriate angle. there should be defined term for the non collinear rays.
Learn more at https://brainly.com/question/24373158
1: The rays must have a common endpoint
2: Defined term
I took the test and got both right :))
Andre ran 512 laps of a track in 8 minutes at a constant speed. It took Andre x minutes to run each lap. Select all the equations that represent this situation.
Answer:
(512)x=8 and 512−x=8
Step-by-step explanation:
Simplify the expression. What classification describes the resulting polynomial?
(8x+3x) - (12x2 - 1)
O A quadratic binomial
O B. quadratic trinomial
ОС.
linear monomial
OD.
linear binomial
Answer:
The correct choice is option B. quadratic trinomial
Step-by-step explanation:
The answer is in quadratic trinomial because a quadratic trinomial is an expression in the form of ax^2 + bx + c and this is exactly how our final solution looks like.
A 5 m high flagpole casts a shadow 4 m in length. What is the height of a tree that casts a shadow of 20 m at the same time?
Answer: 16m
Step-by-step explanation:
If we're assuming the ratio of height to shadow lenght is the same then
5:4
also equals
20:16
so the tree is 16 m tall
56 is less than the square of 10
What is the solution, if any, to the inequality |3x|20?
all real numbers
solution
no
x>0
x
Answer:
20×2=40bnmcsshjvghjpiutewqadgjlmbcz
Answer: all real numbers
Step-by-step explanation:
Identify the parent function that can be used to graph the function f(x)=- 9(x + 5)2.
a. Fx) = x2
c. Fx) = x
b. Fx) = [x]
Please select the best answer from the choices provided
Ο Α
OB
Ос
not sure
Answer:
A. f(x) = x²Step-by-step explanation:
Given function:
f(x) = - 9(x + 5)²This is quadratic function.
The simplest form of a quadratic function is:
f(x) = x²Correct choice is A
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answer:
Value of tan( π/3 ):
[tex]{ \tt{ \frac{\pi}{3} = \frac{180}{3} = 60 \degree }}[/tex]
60° lies within the first quadrant.
[tex]{ \sf{ \tan( \frac{ \pi}{3} ) = ( \frac{1}{2} , \: \frac{ \sqrt{3} }{2}) }}[/tex]
Since it's a half:
[tex]{ \boxed{ \sf{ \tan( \frac{\pi}{3} ) = \sqrt{3} }}}[/tex]
Length of hypotenuse:
[tex]{ \bf{ \sin(31 \degree) = \frac{16.5}{h} }} \\ { \sf{h = 32.04}}[/tex]
Hypotenuse = 32.0
Please help with my math homework
Answer:
Down here:
Step-by-step explanation:
a. 1 , 3 , 9 , 27 , 81, 243, 729
rule, multiply by 3
b. 8, 7, 9, 8, 10, 9, 11, 10, 12
rule, -1 then +2
c. 100, 50, 25, 12.5, 6.25, 3.125
rule, divide by 2
d. 1, 4, 9, 16, 25, 36, 49
rule +3, +5, +7, +9, +11.....
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
if √x-5 varies directly as y and x=30 when y= 2, find the value of x when y=8.
Answer:
let,
√x-5=ky
x=30 when y=2
√30-5=2k
or, k=(√30-5)/2
now, when y=8
√x-5=8×(√30-5)/2
or, √x-5=4√30-20
or, √x=4√30-15
or, x=(4√30-15)²
or, x=47.73..
Find the domain and range of the function. Use a graphing utility to verify your results. (Enter your answers using interval notation.)
Answer:
Step-by-step explanation:
sorry it should be the second one for the interval notations
Banners at the school’s store we’re on sale for $4 off the regular price. Mike brought 5 banners on sale and paid a total of $20. Write and solve an equation to find the regular price of one banner.
Answer:
$8Step-by-step explanation:
Let the regular price is x, then:
(x - 4)*5 = 20x - 4 = 20/5x - 4 = 4x = 4 + 4x = 8The divisibility rule for 7 says 10a + b is a multiple of 7 if only and only if a - 2b is a multiple of 7
Explain.
Answer:
Step-by-step explanation:
Well I can show you by example. Try 28
a = 2
b = 8
2 - 2*8 = 2 - 16 = -14
- 14 is divisible by 7. You get - 2.
That means that 28 is also divisible by 8
We'll try one more. Try 56
a = 5
b = 6
5 - 2*6 = 5 - 12 = - 7
- 7 is divisible by 7 so 56 must be as well. What I'm wondering is if the rule in some form works for 735 and if it does how?
a = 73
b = 5
73 - 10 = 63
63 is divisible by 7 (giving 9)
so 10*73 + b is divisible by 7.
Try something a bit harder.
115444
a = 11544
b = 4
a - 2*4
11544 - 8
11536 / 7
1648 which works perfectly.
115444 is divisible by 28 which is a multiple of 7
Really amazing! Thanks for posting.
Find the surface area of the
triangular prism.
7 cm
66 cm
7 cm
cm
5 cm
[?] sq cm
Enter
Answer:
169 sq cm
Step-by-step explanation:
please help me Find DE.
Answer:
DE = 11
Step-by-step explanation:
DF = DF +EF
4x+2 = x+7 + 7
Combine like terms
4x+2 = x+14
Subtract x from each side
4x+2-x = x+14-x
3x+2 = 14
Subtract 2 from each side
3x+2-2 =14-2
3x=12
Divide by 3
3x/3 = 12/3
x = 4
DE = x+7 = 4+7 =11
Answer:
DE is 11
Step-by-step explanation:
[tex]DE = DF - EF \\ DE = (4x + 2) - 7 \\DE = 4x - 5 [/tex]
But for x:
[tex]4x + 2 = (x + 7) + 7 \\ 4x + 2 = x + 14 \\ 3x = 12 \\ x = 4[/tex]
Therefore:
[tex]DE = (4 \times 4) - 5 \\ = 16 - 5 \\ = 11[/tex]
9. Find cos X. Put the fraction in simplest form.
50
X
Z
30
40
Answer:
3/5
Step-by-step explanation:
cos X = Adjacent/Hypotenuse
cos X = 30/50
= 3/5
Answer:
Answer 3/5
Step-by-step explanation:
cos(X)=XY/XZ=30/50=3/5
if set a is 12345 and Set B is 23 find a union B and find a intersection b
Answer:
a union b= {1,2,3,4,5}
a intersection b ={2,3}
Step-by-step explanation:
The union of two sets A and B is a set that contains all the elements of A and B and is denoted by A U B
the set composed of all elements that belong to both A and B is A intersection B (A ∩ B)
The number n is doubled and then has y added to it. The result is then divided by 2 and has the number n subtracted from it, the final result is
Answer:
[tex]\frac{y}{2}[/tex]
Step-by-step explanation:
n is doubled: 2n
y added: 2n + y
divided by 2: n + [tex]\frac{y}{2}[/tex]
n subtracted -> final resutl: [tex]\frac{y}{2}[/tex]
Express in terms of power =(3x) ×(3x)× (3x)× (3x)
Answer:
3x^4
Step-by-step explanation:
3x • 3x • 3x • 3x = 3x^4
said like “3x to the 4th power”
Answer:
[tex](3x)^4}[/tex]
Step-by-step explanation:
further it can represent as [tex]3^{4} x^{4}[/tex]
Write down a decimal that is more than 7/11 and less than 7/9
will award brainiest!!
Answer:
0.7
Step-by-step explanation:
7/11 = 0.63636363
7/9 = 0.777777778
so a decimal between them will be, 7/10 = 0.7
I NEED HELP !!!
Find the measure of SR.
A.10
B.8
C.7
D.11
The measure of SR is 10.
The given figure has two secant segments and two external segments.
QU = secant segment
QS = secant segment
QP = external segment of QU
QR = external segment of QS
We need to find the measure of SR.
What is the theorem when two secant segments share the same endpoint outside a circle?It states that the product of the length of one secant segment and the length of its external segment equals the product of the length of the other secant segment and the length of its external segment.
Applying the secant theorem in the given figure.
QU x QP = QS x QR
( 9 + 7 ) x 9 = (8 + 3X-5) x 8
16 x 9 = (3 + 3X) x 8
144 = 24 + 24X
144 - 24 = 24X
120 = 24X
X = 120 / 24
X = 5
Now Putting X = 5 in SR = 3X-5
We get,
SR = 3 x 5 - 5
SR = 15 - 5
SR = 10
After applying the secant segment theorem we got the measure of SR as 10.
Learn more about secant segments in a circle here:
https://brainly.com/question/18760361
#SPJ5
WILL GIVE BRAINLIEST:
Elanor wants to estimate the number of frogs in a reservoir.
She catches 90 frogs from the reservoir and marks them with a non-harmful dye.
Elanor then returns the frogs to the reservoir.
The next day she catches another 70 frogs and 10 of these are marked with the dye.
Work out an estimate for the total number of frogs in the reservoir.
Answer:
approximately 150 frogs
Step-by-step explanation:
To find your estimate, you have to add 90 + 60 because from the 70 that Elanor caught the second day, 10 of them were the ones that she had caught the day before so you have to do 70 - 10 = 60. Therefore, 90 + 60 = 150 estimated frogs.
BRAINLIEST
HOW CAN POSTULATES AND THEOREMS RELATING TO SIMILAR AND CONGRUENT ANGLES BE USED TO WRITE A PROOF?
Answer:
How can postulates and theorems relating to similar and congruent triangles be used to write a proof? If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar. ... If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar.
Step-by-step explanation:
Hope this helps :D good luck!!
