Answer:
A equação da reta é dada por: [tex]y = \frac{2}{3}x - \frac{4}{3}[/tex]
Step-by-step explanation:
Equação de uma reta:
A equação de uma reta tem o seguinte formato:
[tex]y = ax + b[/tex]
Em que a é o coeficiente angular e b é o coeficiente linear.
Coeficiente angular:
Com posse de dois pontos, o coeficiente angular é dado pela mudança em y dividida pela mudança em x.
A(-1, -2) e B(5,2)
Mudança em y: 2 - (-2) = 2 + 2 = 4
Mudança em x: 5 - (-1) = 5 + 1 = 6
Coeficiente angular: [tex]m = \frac{4}{6} = \frac{2}{3}[/tex]
Então:
[tex]y = \frac{2}{3}x + b[/tex]
Coeficiente linear:
Substituindo um ponto na equação, encontra-se o coeficiente linear.
B(5,2)
Quando [tex]x = 5, y = 2[/tex]. Então:
[tex]y = \frac{2}{3}x + b[/tex]
[tex]2 = \frac{2}{3}5 + b[/tex]
[tex]b = 2 - \frac{10}{3} = \frac{6}{3} - \frac{10}{3} = -\frac{4}{3}[/tex]
Então:
[tex]y = \frac{2}{3}x - \frac{4}{3}[/tex]
A sweater is on sale for $45.00, down from $75.00. What is the
percent of discount of the sweater?
A. 50%
B. 30%
C. 55%
D. 40%
Answer:
D
Step-by-step explanation:
The percentage of discount on the sweater will be 40%. The correct option is D.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that a sweater is on sale for $45.00, down from $75.00. The percentage discount will be calculated as:-
Percentage discount = (75 - 45) / 75
Percentage discount = ( 30 / 75 )
Percentage discount = 0.4 x 100 = 40%
Therefore, the percentage of discount on the sweater will be 40%. The correct option is D.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ5
Find the Value of x.
Answer:
x = 91
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
x + 89 = 180
x = 91
Please help I don’t understand
Answer:
8/15
Step-by-step explanation:
The ratio of perpendicular to base is tan B .
Here ,
=> tan B = 8 ft/ 15ft
=> tan B = 8/15
PLEASE HELP ME SOMEONE I NEEDDDDDDD HELP PLEASE QUICK!!!!!!!!
Answer:
2/60 = 1/30 = 3.3%
Step-by-step explanation:
What is the slope and y-intercept of the following equation:
= − 23 − 1
(show work pls)
Answer:
The slope is -2/3 and the y-intercept is -1.
Step-by-step explanation:
In a linear equation like this, the slope is the coefficient in front of the x after the expression has been completely simplified. In this case, the slope is -2/3.
For the y-intercept, that is simple too; since it is simplified, it is just the number that comes after the x package. So, for this, the y-intercept is -1.
A is 5 times B, and B is 7 less than 2 times C. Which of the following statements describes the
relationship betweeen A & C?
(a) A is 7 less than 7 times c
(b) A is 7 less than 10 times C
(C) A is 14 less than 7 times C
(d) A is 35 less than 7 times C
(e) A is 35 less than 10 times C.
Answer:
C is the answer
Step-by-step explanation:
I'm sure it is
What is the value of x?
Enter your answer in the box.
x = in.
Answer:
24
Step-by-step explanation:
what shape is this cause I'm having a bit of trouble?
Answer:
isn't that a square or is it called sum eles-
Step-by-step explanation:
What is the volume of this figure?
Answer:
276in³
Step-by-step explanation:
First, we can separate this into two separate rectangular prisms. We can add their volumes to get the total volume. I have separated the prisms by the light green lines, as shown in the picture.
For the top one, we have a length of 5 in , width of 3 in, and height of x in. We know that the total height is 10 in, and the bottom height is 6. The top difference is the difference of those two heights, or 10-6= 4 = x. Therefore, the volume of the top prism is 5 in* 3 in* 4 in = 60 in³
For the bottom prism, we have a length of 12 in, height of 6 in, and width of 3 in (this is the same, as the 3in from the top prism matches with the width of the of the bottom prism), making our volume 12 in * 6 in * 3 in = 216 in ³.
We can then add 216 in ³ and 60 in³ to get 276in³ as our total volume
Find the greatest number such that; x360y is divisible by 24
WILL GIVE BRAINIEST, NEED ANSWER ASAP
Answer:
93600
Step-by-step explanation:
24=3*2*2*2
y=0,8
1) x3600, then x=9,6,3
2)x3608, then x=1,4,7
9 is the largest so the final answer is 93600
Зу = х - 9
y = -x + 1
Using the graphing method, which of the following choices is the solution of the system?
A=(-3 ,-2)
B=(3 ,-2)
C= Infinite solutions
D= No solutions
Answer:
did i got it correct if yes follow plz
used a graphing tool to, well, graph it
see the solution in the screenshot, it's the point where the two lines intersect
Which point on the number line represents a drop in temperature of 3 degrees from 0 degrees?
Answer:
Point A
Step-by-step explanation:
The question is asking for a drop in 3 degrees. That means whatever point we start on, we subtract 3 from it. We start on 0, so 0-3=-3. That is point A.
Answer:
A
Step-by-step explanation:
The scale on a map is 1cm = 250 km. What would be the distance on the map, if the actual distance between the two cities is 1,000km? *
Answer:
so if its actually 1000 and that map thing is 250
250 goes into 1000 4 times so
4cm
Hope This Helps!!!
Express 85mm as a percentage of 1metre
Answer:
Step-by-step explanation:
85/1000 because we said that 1 meter = 1000 mililiters
Divide both sides by 5 and then you have 17/200
then divide both sides by 2 (to get it over 100) =
8.5/100
.085%
Hope that helps!!
You could also just do 85/1000 you would get the same answer!!
which of the following is most likely the next step in the series?
Answer:
A
Step-by-step explanation:
i think its a because they keep adding a side (or a line)
Please help due very soon!!!!
Answer:
[tex]51 in^{2}[/tex]
Step-by-step explanation:
[tex]===========================================[/tex]
Formulas:
Area of a rectangle/square:
[tex]A=lw[/tex]
Area of a triangle:
[tex]A=bh\frac{1}{2}[/tex]
[tex]===========================================[/tex]
Square:
3*3=9 in.
Triangles(4):
[tex]3*7*\frac{1}{2}=10.5[/tex]
Multiply by 4.
[tex]10.5*4=42[/tex]
42 in
Add 9 and 42 together. You get
[tex]51 in^{2}[/tex]
Answer:
51 [tex]sq^{2}[/tex]
Step-by-step explanation:
(3*3) + 4(1.5 * 7)
9 * 42 = 51 [tex]sq^{2}[/tex]
At the movie theatre, child admission is $5.70 and adult admission is $9.50, 146 tickets were sold for a total sales of $1075.40. How many adult tickets were sold that day?
Answer:
x = number of children tickets sold = 82 tickets
y = number of adult tickets sold = 64 tickets
Step-by-step explanation:
Let
x = number of children tickets sold
y = number of adult tickets sold
x + y = 146 (1)
5.70x + 9.50y = 1075.40 (2)
From (1)
x = 146 - y
Substitute x = 146 - y into (2)
5.70x + 9.50y = 1075.40 (2)
5.70(146 - y) + 9.50y = 1075.40
832.2 - 5.70y + 9.50y = 1075.40
- 5.70y + 9.50y = 1075.40 - 832.2
3.8y = 243.2
y = 243.2/3.8
y = 64
Substitute y = 64 into (1)
x + y = 146
x + 64 = 146
x = 146 - 64
x = 82
x = number of children tickets sold = 82 tickets
y = number of adult tickets sold = 64 tickets
The driving distance between Manchester and London is 195 miles. Farris wants to travel from Manchester to London on coach. The coach will leave Manchester at 3:30pm. Farris assumes the coach will travel at an average speed of 50mph. work out Farris's arrival time in London?
Answer:
7:24 pm
Step-by-step explanation:
speed = distance/time
time * speed = distance
time = distance/speed
time = (195 miles)/(50 miles/hour)
time = 3.9 hours
The trip will take 3.9 hours.
3 hours + 0.9 hours = 3 hours + 0.9 hours * 60 minutes/hour =
= 3 hours + 54 minutes
The trip will take 3 hours and 54 minutes.
3:30 pm + 3:54 = 6:84 pm = 7:24 pm
Answer: 7:24 pm
If anyone can assist with a step by step
Answer:
(in the image)
Step-by-step explanation:
hope it helps
Help!!!
Find the domain of the function. Write the answer in interval notation.
Answer:
A
Step-by-step explanation:
Given
f(x) = [tex]\frac{2}{3x+2}[/tex]
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be.
3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - [tex]\frac{2}{3}[/tex] ← excluded value
Then
domain is ( - ∞ , - [tex]\frac{2}{3}[/tex] ) U ( - [tex]\frac{2}{3}[/tex], ∞ ) → A
help leee plzzzzzzzbbbnbbbb
I had block the instructions but basically it said State what additional information is required in order to know that the triangles in the image below are congruent for the reason given.
Answer:
Segment XY congruent to Segment IJ is required.
Step-by-step explanation:
It's asking for Side-Angle-Side postulate and you already have a side and an angle. WX=HI and <x=<I. Order matters, so the angle should be directly between the first set of segments and the second.
if sam has 20 watermelons and he eats 14 how many does he have left?
Answer:
6 duh!
you can do this by yourself lol
A summer camp basketball coach is hired to work 10 hours per week. During a really busy first week, they were required to work 15 hours. What percentage of time did they work during the busy week? Show your work.
Answer:
150%
Step-by-step explanation:
15 / 10 =
1.5 =
150%
Find the area of the compound shape
Answer:
15 units²
Step-by-step explanation:
The figure is a trapezoid, whose area (A) is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 3 , b₁ = 3, b₂ = 7 , then
A = [tex]\frac{1}{2}[/tex] × 3 × (3 + 7) = 1.5 × 10 = 15 units²
If / is a midsegment of /, find x.
A.
2
B.
3
C.
6
D.
9
Please select the best answer from the choices provided
A
B
C
D
Answer:
It is d
Step-by-step explanation:
Can someone help me with this math homework please!
Answfirst one
Step-by-step explanation:
hope it helps thank u
Answer:
first one
Step-by-step explanation:
2 students have the same age but different heights.
since age is the input and height is the output. in order to be a function one must have exact one output for one input.
since the heights of students in Tessa 's class are not a function of their ages (one input must have two outputs) two students of same age must have different heights.
¿Cuál es el capital que necesito, si quiero obtener una ganancia de $9745 en 5 meses aplicando una tasa del 6,3?
Answer:
The capital is $ 309365.
Step-by-step explanation:
What is the capital that I need, if I want to obtain a profit of $ 9745 in 5 months applying a rate of 6.3?
Let the capital is P.
Simple interest, I =$ 9745
Rate, R = 6.3 %
Time, T = 5 months
Use the formula of the simple interest.
[tex]9745=\frac{P\times 6.3\times 5}{1200}\\\\P = 309365[/tex]
Reduce any fractions to lowest terms.Don’t round your answer, and don’t use mixed fractions
12t-2<-5t+36
Answer:
t < [tex]\frac{38}{17}[/tex]
Step-by-step explanation:
Add '5t' to both sides
12t - 2 +5t < -5t +36 +5t
17t -2 < 36
Add ' 2' to both sides
17t -2 +2 < 36 + 2
17t < 38
Dividing '17' on both sides
[tex]\frac{17t}{17}[/tex] < [tex]\frac{38}{17}[/tex]
Step-by-step explanation:
let's hop to it mattie.
12t–2< –5t+36===> 12t+5t< 36+2====>
17t< 38====> t < 38÷17
A rectangular field is 16m broad and the ratio of the length and breadth is 3:2.
1.find the length of the field
2.find the perimeter of the field
3.find the area of the field.
Answer:
x = length of the rectangle = 24 m
Perimeter of the field = 80 m
Area of the field = 384 square meter
Step-by-step explanation:
Width of the rectangle = 16 m
Ratio of the length and width = 3:2
Let
x = length of the rectangle
Ratio of the length and width = x : 16
Equate both ratios
x : 16 = 3 : 2
x/16 = 3/2
Cross product
x * 2 = 16 * 3
2x = 48
x = 48/2
x = 24
x = length of the rectangle = 24 m
Perimeter of the field = 2(length + width)
= 2(24 m + 16 m)
= 2(40 m)
= 80 m
Perimeter of the field = 80 m
Area of the field = length × width
= 24 m × 16 m
= 384 m²
Area of the field = 384 square meter
