a straight line passing through A(3,2) and B(5,y) has gradient -2. find the value of y
Step-by-step explanation:
[tex]gradient \: = \: \frac{y2 - y1}{x2 - x1} [/tex]
y2 = y , x2 = 5
y1 = 2 , x1 = 3
[tex] - 2 \: = \: \frac{y - 2}{5 - 3} [/tex]
-4 = y-2 ==> y = -2
Answer:
y=-2
Step-by-step explanation:
For a line containing the points (X1,Y1) and (X2,Y2), the gradient/slope is equal to (Y2-Y1)/(X2-X1).
Therefore for a line with gradient -2 and points (3,2) and (5,y), we can say:
-2=(y-2)/(5-3)
-2(2)=y-2
y=-4+2
y=-2
concrete representation of point
Answer:
Points in Euclidean geometry
In two-dimensional Euclidean space, a point is represented by an ordered pair (x, y) of numbers, where the first number conventionally represents the horizontal and is often denoted by x, and the second number conventionally represents the vertical and is often denoted by y.
Step-by-step explanation:
is {(98,6),(99,0),(100,7)} a function?
Answer:
Yes , this is the function
Step-by-step explanation:
Because every domain has their only one image
A salesman receives a fixed salary of $500 per week. In addition he is paid 12% of all sales over $1000. Write the formula that describes how his weekly salary, s, depends on his weekly revenue, r. (The revenue is the amount of money he collects by selling the goods.)
Answer:
s = 500 + .12(r - 1000)
Step-by-step explanation:
2
.
5
6
120
a. What the relationship between BEC and Z BAC?
b. What the measure of ZBEC ?
c. What the measure of BDC ?
Angle A and B are congruent angles.•The measure of angle
A = 8x + 9•The measure of angle
B = 41 + 4xSolve for x.
A.8
B.2.6
C.12.5
D.4
Answer:
x = 8
Step-by-step explanation:
8x + 9 = 41 + 4x
4x = 32
x = 8
The perimeter of a rectangular garden is 44 meters. The length of the rectangle is 5 less than twice the width. Find the length and width of the rectangle.
please helppp
9514 1404 393
Answer:
width: 9 mlength: 13 mStep-by-step explanation:
Let w represent the width. Then the length is 2w-5, and the perimeter is ...
P = 2(L+W)
44 = 2((2w-5) +w)
44 = 6w -10
54 = 6w
9 = w
2(9) -5 = 13 = length
The length of the rectangle is 13 meters; the width is 9 meters.
A grocery store bought milk for $2.60 per half gallon and stored it in two refrigerators. During the night, one refrigerator malfunctioned and ruined 15 half gallons. If the remaining milk is sold for $4.08 per half gallon, how many half gallons did the store buy if they made a profit of $69.04?
Answer:
88 half gallons
Step-by-step explanation:
We can solve this problem by creating an equation. First we will need a variable. Since we are trying to find how many half gallons the store bought, that will be what our variable represents.
Let g = the number of half gallons
Since the store bought milk for $2.60 per half gallon, the amount of money they spent will be 2.6g.
The remaining milk is sold for $4.08 per half gallon. Remember, the store lost 15 half gallons so the number of gallons is currently g-15. This means that to find the amount of profit they made, we use 4.08(g-15).
We already know that the profit is $69.04, so we can make this into an equation.
This profit is the amount of money made minus the cost.
4.08(g-15) - 2.6g = 69.04
We can begin to solve this by simplifying the left side.
4.08(g-15) - 2.6g
4.08g - 61.2 - 2.6g
1.48g - 61.2
This makes our new equation:
1.48g - 61.2 = 69.04
We can begin to isolate our variable, g, by adding 61.2 to both sides.
1.48g = 130.24
Then we divide both sides by 1.48.
g = 88
PLEASE HELP! 50 POINTS PLUS BRAINLIEST TO THE MOST EXPLAINED ANSWER (PLEASE SHOW THE PROCESS)
Chauncey is building a storage bench for his son’s playroom. The storage bench will fit into the corner and against two walls to form a triangle. Chauncey wants to buy a triangular shaped cover for the bench.
Formula for Area of Triangle:
A = ½ x b x h
(the photo is below)
If the base of the storage bench is 2 ½ ft. and the height along one side of the wall is 4 ½ ft. What is the area of the triangular cover?
Answer:
2.5 times 4.5 times .5 = 5.625 ft squared
Step-by-step explanation:
Lets look at our Formula
.5 times base of triangle (b) times height of triangle (h)
Based on the photo, the height is 4.5 feet and the base is 2.5 feet.
4.5 times 2.5 times .5 (the 1/2 in the formula) = 5.625 ft squared.
Remember that it is 1/2 times the base and height, b/c triangle is half of square. Ft squared because ft times ft equals ft squared
Give the limits of integration for evaluating the integral
∭f(r,θ,z)dz r dr dθ
as an iterated integral over the region that is bounded below by the plane z = 0, on the side by the cylinder r=cosθ and on top by the paraboloid z=3r^2.
Answer:
θ = 0 to θ = 2π, r = 1 to r = -1 and z = 0 to z = 3
Step-by-step explanation:
Since the integration is in cylindrical coordinates, θ is integrated from 0 to 2π.
Since r = cosθ
when θ = 0, r = cos0 = 1
when θ = 2π, r = cos2π = -1
Since the region is bounded below by the plane z = 0, and on the top by the paraboloid z = 3r², z is integrated from z = 0 to z = 3r².
So, when r = 1, z = 3r² = 3(1)² = 3
when r = -1, z = 3r² = 3(-1)² = 3
So, the limits of integration of
∭f(r,θ,z)dz r dr dθ are θ = 0 to θ = 2π, r = 1 to r = -1 and z = 0 to z = 3
which is the correct graph and solution for the following system of equations y=2x+3 y=-x-6
Answer:
last graph
Step-by-step explanation:
Find the value of D. A 75 B 56 C 47 D 30
Step-by-step explanation:
75
Option B is correct. The measurement of the angle m in the circle given is 56degrees
Geometry deals with the measurement of properties of lines, solids, and angles.
The diagram given in the question is a circle. To get the value of d, we will use one of the circle theorems which states;
The angle at the vertex is equal to half the sum in its intercepted arcs as shown:[tex]75=\frac{1}{2} (m\angle d - 94)[/tex]
Cross multiply
[tex]75 \times 2 = m \angle d - 94\\150=m \angle d +94\\m \angle d = 150 - 94\\m \angle = 56^0[/tex]
Hence the measurement of the angle m is 56degrees
Learn more on circle geometry here: https://brainly.com/question/14064573
hello guys
can you tell me what does this ^ mean in math?
Answer:
It means there is an exponent
Step-by-step explanation:
If the distributions of ratings are the same for those Snoqualmie members living less than 25 miles from the
waterfall and those living more than 25 miles from the waterfall, which of the following is equal to the expected
count of members living less than 25 miles from the waterfall who rated the cultural importance as high?
Answer:E
Step-by-step explanation:
( row total * column total ) / ( Table total)
BOTS ARE LEGIT EVERYWHERE LIKE I CANT EVEN FIND A SPOT FOR PPL TO POST THEIR REAL ANSWER PLS ANYONE, BRAINLY NEEDS TO BE BETTER AT THIS
Answer:
y=-5x-3
Step-by-step explanation:
Slope: -5/1 =-5
Y2-Y1/X2-X1=2-7/1-2=-5/1
Y-intercept: -3
Which of the following numbers is equivalent to
√48?
Answer: you forgot attachment
Step-by-step explanation:
Solve for x.
x = [?]
2x + 9
8x + 1
Answer:
X=17
Step-by-step explanation:
(2x+9)+(8x+1)=180
10x+10=180
10x=170
X=17
In a certain test, the number of successful candidates was three times than that of unsuccessful candidate, if there had been 16 fewer candidates and if 6 more would have been unsuccessful, the number would have been as 2 to 1. Find the number of candidates.
Answer:
The number of candidates is 136.
Step-by-step explanation:
HELP AYUDA ✋
.
what is the constant of proportionality for the graph shown below?
.
/pls pls pls
Answer:
10
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
points on line: (0,0), (1,2), (2,4), (3,5) etc
rise by two, run by one means a slope (or constant of proportionality) of 2
20 points
What is the value of the negative zero of the function g(x) = 3x2 + 14x - 5?
only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ., -, and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.
Answer: The value will be -5
The value of (3/4) ^6
Answer:
729/4096
Step-by-step explanation:
3^6/4^6 = 729/4096
f(x)=-x^2+x-5
What are the coordinates of the vertex of the parabola of the function ?
Answer: I took a screen shot of it hope it helps
Step-by-step explanation:
Need help on this please
Answer:
25[tex]\pi[/tex]
Step-by-step explanation:
[tex]\pi[/tex][tex]r^{2}[/tex]=area of circle
[tex]\frac{1}{4}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]=1/4 of the area of a circle
now solve
[tex]\frac{1}{4}[/tex][tex]\pi[/tex][tex]10^{2}[/tex]
[tex]\frac{1}{4}[/tex][tex]\pi[/tex]100
25[tex]\pi[/tex]
Trey made 104 for 8 hours of work. At the same rate, how many hours would he have to work to make 221?
Answer:17
Step-by-step explanation:
first off find the rate in which he made in an hour.
so 104/8 which is 13. then divide 221 by 13 and u get 17.
17 hours
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
D
As
126
B
-С
Angles are not drawn to scale.
Enter
x=54°
Answer:
x+126=180 supplementary
x=180-126
x=54
The distance around a triangle is 36 centimeters. If two sides are equal and the length of the third side is 14 centimeters, what is the length of each of the other two sides?
A fair coin is tossed 5 times. Compute the probability of tossing 5 heads in a row.
Answer:
50%
Step-by-step explanation:
There is 2 side out of 100% half is 50 :D gl and mb if its wrong!
Answer:
* Here we assume that the coin tossed is fair.
Probability of event A = # Favorable cases for event A/ # Exhaustive cases for event B
Where
Favorable cases means outcomes of an experiment that favors a particular event
Exhaustive cases means, number of total possible outcomes.
For tossing a coin one time:
# Favorable cases = 1 (getting head)
# Exhaustive cases = 2 (two outcomes, say, head and tail)
So, P(getting head in a single toss) = 1/2
For tossing a coin two times:
# Favorable cases = 1 (getting 2 heads, say, HH)
# Exhaustive cases = 2*2 or 2^2 (4 outcomes, say, HH, HT, TH, TT)
So, P(getting 2 heads in two tosses of a coin) = 1/4
Similarly, for tossing a coin five times:
# Favorable cases = 1 (getting 3 heads, say, HHHHH)
# Exhaustive cases = 2*2*2*2*2 or 2^5 (32 outcomes, say, HHHHH, THHHH, ..... etc)
So, P(getting head in 5 tosses of a coin) = 1/32
Step-by-step explanation:
Which of the following is a true statement about the angle in the figure below
A. The m<3 is 142°
B. The m <1 is 99°
C. The m<2 is 137°
D. The m<4 is 137°
Answer:D. The m<4 is 137°
(I did that before)
Nikki bought a patio set on sale for $390. The original price was $850.
(a)
Find the amount of discount.
$ 460
(b)
Find the discount rate (in %). (Round to the nearest tenth of a percent.)
perdon ese fue mi error jaja señorita lee algunos números
Someone please help me! Write the equation in standard form!
Answer:
x^2+y^2=6^2
Step-by-step explanation:
The equation of a circle is (x-h)^2+(y-k)^2=r^2
where h is the x coordinate of the center, k is the y coordinate of the center, and r is the radius of the circle.
We can see the center is on 0,0, and the radius is 6, so our equation is
(x-0)^2+(y-0)^2=6^2
or
x^2+y^2=6^2
Answer:
[tex] x ^2 + y^2 = 36 [/tex]
Step-by-step explanation:
Center of the circle (h, k) =(0, 0)
Radius of the circle (r) = 6 units
Equation of circle in center radius form is given as:
[tex] (x-h) ^2 + (y-k) ^2 = r^2 [/tex]
[tex] (x-0) ^2 + (y-0) ^2 = (6)^2 [/tex]
[tex] x ^2 + y^2 = 36 [/tex]