Answer:
y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/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 )
Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4
y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{3}{4}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{5}{4}[/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{5}{4} }[/tex] = - [tex]\frac{4}{5}[/tex] , thus
y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - [tex]\frac{12}{5}[/tex] + c ⇒ c = - 2 + [tex]\frac{12}{5}[/tex] = [tex]\frac{2}{5}[/tex]
y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex] ← equation of perpendicular line
Hey everyone! Please help me figure this out...
Answer:
See below
Step-by-step explanation:
0.82=82/100=82%
22%=22/100=0.22
3/4=0.75=75/100=75%
0.8=0.80=80/100=80%
Hope this helps!
Answer:
column 2: 41/50, 0.82, 82%
column 3: 11/50, 0.22, 22%
column 4: 3/4, 0.75, 75%
column 5: 4/5, 0.80, 80%
the cost to rent skis at a local sporting goods store is $15 plus $20 per day. which equation models the relationship between the total cost to rent, c, and the length of the rental in days, d ?
Answer:
c = 20d + 15
Step-by-step explanation:
answer choices may help if the answer is not one of the choices; but here is the answer that it should be:
20 dollars per day is 20 times the length of rental.
15 is a cost that is added and does not change.
c = the total cost therefore:
c = 20d + 15
Solve the system.
2x + y = 3
−2y = 14 − 6x
Answer:
y= -2 x= 3
y= 3 x= -7
Step-by-step explanation:
Pleases HELP anybody?? Ill mark you brilliance!
Answer:
Step-by-step explanation:
P=8/13≈0.62
Za and Z6
are
complementary angles. Za measures 78°.
What is the measure of Zb?
Answer:
[tex] \boxed{\angle b = 12 \degree} [/tex]
Given:
[tex]\angle a \: and \: \angle b \: are \: complementary \: angles\\ \\ \angle a = 78 \degree [/tex]
Step-by-step explanation:
Two Angles are Complementary when they add up to 90° (a Right Angle).
[tex] = > \angle a + \angle b = 90 \degree \\ \\ = > 78 \degree + \angle b = 90\degree \\ \\ = > \angle b = 90 \degree - 78 \degree \\ \\ = > \angle b = 12 \degree[/tex]
What is the value of cos(150°)?
OF
22
-
V3
2.
1500
30
-
Answer:
[tex]cos(150^o)=-\frac{\sqrt{3} }{2}[/tex]
Step-by-step explanation:
Recall that the value of the cosine of an angle in the unit circle is the horizontal value (x-coordinate) read-out for the point on the circle's circumference that represents the given angle.
in this case, notice that [tex]150^o[/tex] corresponds to an angle in the second quadrant, and the actual coordinate values for it are given to you. therefore, use the value you read for the x-coordinate: [tex]-\frac{\sqrt{3} }{2}[/tex]
Find the slope-intercept equation of the line containing (1.-4) and having slope m = 3
Answer:
y=3x-7
Step-by-step explanation:
What is the slope and y intercept of the following linear equation:y=1/3×-2
Answer:
Step-by-step explanation:
The general formula for slope-intercept form is y = mx + b
We can see that m (slope) equals 1/3 here. We can also see that the y-intercept (b) is -2. Another way to find the y intercept is to make x equal to 0. You get 0 - 2 which equals -2
Note:
If youre ever asked for the x-intercept, make y equal to zero and solve for x.
state what additional information is required in order to know that the triangles are congruent by AAS
Answer:
The last one
Step-by-step explanation:
Since we already know an angle and a safe are equal we just need one more pair of corresponding angles
Answer:
the fourth one.
Step-by-step explanation:
that is angle vut is greater than or equal to angle ktu or angle utv is greater than or equal to angle tuk.
A local middle school adopted a policy for school uniforms. Students can wear black pants or tan pants. They can wear a yellow shirt, a red shirt, a green shirt, or a white shirt. The tree diagram shows the possible outfit choices.
Answer:
There are 8 possible outfit choices
Step-by-step explanation:
you multiply 2 times 4 because there each shirt can pair to each pants once
Can someone explain this to me
Answer:
35°
Step-by-step explanation:
ABC is a equilateral triangle and that means all of its
interior angles have the same measure and = 60°
since angle ACB is 60° the complementary of it would be 120° this is alsıo the measure of angle ACD
The measure of angle CAD is given as 25°
The measure of sum of interior angles in a triangle is equal to 180°
So the missing angle ADC is 35°
Jun-seo notices that there are 13 right-handed players on his baseball team and 2 left-handed players. What is the ratio of right-handed players to left-handed players?
Answer:
The ratio of right handed to left handed players is 13 to 2
Step-by-step explanation:
Here in this question, we are asked to give the ratio of right handed to left handed players.
To give this ratio, we shall need to know the numbers of right handed players and left handed players.
From the question, we can see that there are 13 right handed and 2 left handed players.
Thus, the ratio of right handed to left handed players is 13:2
Which one the following is a polynomial?
A. x^3-4x^2+√x-5
B. √2x^3-2x^2+3x-1
Answer:
B
Step-by-step explanation:
A has a sqrt(x) as a term, which makes it not a polynomial
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!
Answer:
180 meters
Step-by-step explanation:
The function you have here is negative function meaning the function has a concave down parabola (if you graph it on desmos or a graphing calculator you'll see what I'm talking about).
So they gave it to you in factored form and asked you to find the max. The max of this function is at the vertex of the parabola. In order to find the vertex you have distribute or multiply to get the original polynomial.
-5(x-8)(x+4)
-5(x^2+4x-8x-32)
-5(x^2-4x-32)
-5x^2-20x-160
Vertex formula is: -b/2a
b = 20
a = -5
[tex]\frac{-20}{2(-5)}[/tex]
= 2
The x-coordinate of the vertex is 2.
Plug 2 into the equation
-5(2)^2+20(2)+160
= 180 meters
What is the answer to 2+5(11-6)+12/3?
Answer:
39
Step-by-step explanation:
From left to right but first parenthesis
11-6=5
5+2=7
7x5=35
12/3=4
35+4=39
Answer:
39
Step-by-step explanation:
1. Never forget to use P.E.M.D.A.S
11 - 6 = 5
2 + 5 (5) + 12/3
39
Mrs.Clarke is the PE teacher is pairing of students to race against each other. Tyler can run 7 meters per second and bridget can run 8 meters per second Mrs.Clarke decides to give tyler a head start of 4 meters since he runs more slowly. Once the students start running bridget will quickly catch up to tyler how long will that take? How far will bridget have to run?
Answer:
It will take 4 seconds. She will have to run 32 meters
Step-by-step explanation:
The formula to calculate the distance in terms of speed and time is:
distance = speed x time
Let x represent the distance Bridget run. Since Tylor starts 4 meters ahead, the distance for the Tylor is x-4. The time is same for both of them, let us represent it with t.
The distance by Bridget: x = 8t → t = x/8
The distance by Tylor: x - 4 = 7t → t = (x-4)/7
→ x/8 = (x-4)/7
→ 7x = 8(x-4)
→ 7x = 8x - 32
→ x = 32
Since x = 32 and t = x/8
→ t = 32/8 = 4
If two triangles have three corresponding angles and three corresponding sides that are equal in measure, are two triangles necessarily congruent ? Why?
Answer:
the two triangles are congruent because they have the same sides and angles.
Answer:
Yes, they are congruent. Because the sides and the angles are the same.
Step-by-step explanation:
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!
Answer:
-2 = not in domain
0= in domain
3= in domain
An online company lets you download songs for $0.99 each after you have paid a $5 membership fee. Which domain would be most appropriate to calculate the cost to download songs? *
A.rational numbers greater than zero
B.whole numbers greater than or equal to one
C.integers less than or equal to zero
D.whole numbers less than or equal to one
Answer:
I assume that songs are $0.99 each. Let x represent the number of songs you download. Then the total cost of downloading x songs would be
C(x) = $5.00 + ($0.99/song)x
and ONLY integers = to or greater than 0 make sense here. The domain is [0, 100) assuming you cannot buy more than 100 songs.
Personally I'd give the answer as "2, whole numbers more than or equal to zero." However, IF you don't pay the membership fee until ready to actually order one or more songs, then "2, whole numbers greater than or equal to one" makes sense. You'd pay $5 plus $0.99 for one song, in that case.
Step-by-step explanation:
If f(x)=3x^2and g(x) =x+2 find (f •g)(x)
Answer:
3x^2+12x+12
Step-by-step explanation:
i think you just sub in x+2 into 3x^2
HELP ASAP!!
Determine the surface area of the figure built out of blocks.
A) 30 sq. Units
B) 26 sq. Units
C) 22 sq. Units
D) 19 sq. Units
Answer:
i think it's s d because that's how many sq. there are
Determine the x-intercepts of the following equation.
(-x + 5)(-x - 2) = y
(-10,0
(5,0) and (-2,0)
(0,10)
(0, -10)
(5,0) and (2,0)
O(0,5) and (0, -2)
Answer:
(5,0) and (-2,0)
Step-by-step explanation:
In order to find the x intercept, the y value has to be zero, this automatically eliminates several of the options. What you can do is plug in 0 for y and see what the answer is. If you get stuck, you can also guess and check.
Can someone please help me
Answer:
880
Step-by-step explanation:
600miles = 3168000feet
316800/3600=880
state what additional information is required in order to know that the triangles are congruent by SSS
Answer: d) DF ≅ JH
Step-by-step explanation:
Side-Side-Side Congruency Theorem states that triangles are congruent if and only if their corresponding side lengths are congruent.
Given: EF ≅HI
Given: DE ≅IJ
Missing: DF ≅ JH
Can u guys PLEASE answer this question ASAP.
which of the two points M(3,6) and N(6,-4) is closer to P(-2,-1)
Answer:
n
Step-by-step explanation:
Answer:
[tex]\fbox{\begin{minipage}{11em}N is closer to P than M\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Define the way to calculate distance between 2 points in two-dimensional (2D) plane
Supposing that there are two points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] on 2D plane.
The distance [tex]d[/tex] between these two points is calculated by:
[tex]d = \sqrt{(x_{1} - x_{2}) ^{2} + (y_{1} - y_{2})^{2} }[/tex]
Step 2: Calculate the distance [tex]d_{1}[/tex] between [tex]M(3, 6)[/tex] & [tex]P(-2, -1)[/tex] and distance [tex]d_{2}[/tex] between [tex]N(6, -4)[/tex] and [tex]P(-2, -1)[/tex]
Applying the formula in step 1:
[tex]d_{1} = \sqrt{(3+ 2) ^{2} + (6 + 1)^{2} } = \sqrt{25 + 49} = \sqrt{74}[/tex]
[tex]d_{2} = \sqrt{(6+ 2) ^{2} + (-4 + 1)^{2} } = \sqrt{64 + 9} = \sqrt{73}[/tex]
Step 3: Compare and conclude
Because [tex]\sqrt{73} < \sqrt{74}[/tex] => [tex]d_{2} < d_{1}[/tex] => N is closer to P than M
Hope this helps!
:)
help me please! will mark brainliest
Answer:
Chris' initial investment is $5000. The interest rate is 2% quarterly for 4 years.
Step-by-step explanation:
How fast was the container being filled?
Answer:
Between the 10- and 20- second marks
Step-by-step explanation:
in the first half of filling the container it started at 0- 10 and the points goes further to 30 which is 10 plus 20 equals to 30, which is between the 10- and 20- second marks.
Find the degree of each polynomial.
Calculate the surface area of the tent :
(Problem number 6)
Answer:
374 feet^2
Step-by-step explanation:
Surface area:
area of cross section x 2 = 110feet^2
area of tope x 2 = 264 feet^2
sum / Surface area: 374 feet^2
the side of a square is 32/5, what is the area of the square
Answer: 1,024/25 or 40.96
Step-by-step explanation:
The length of one side of a square is 32/5, and all sides of a square have the same length, then all sides of the square have 32/5 as the length.
In order to get the area of the square, you need to multiply one side by another.
32/5 * 32/5 = 1,024/5 (fraction form)
32/5 = 6.4
6.4 * 6.4 = 40.96 (decimal form)
