Answer:
y = 7x - 4
Step-by-step explanation:
To solve the equation of this line ( in point - slope form ) we would have to first identify the slope. If we are given the points ( 0, - 4 ) and ( 1, 3 ) then through the change in y / change in x, we can calculate the value of this slope. Take a look at the steps below;
[tex]( 0, - 4 ), ( 1, 3 )\\\\Slope = y2 - y1 / x2 - x1,\\\\Slope = - 4 - 3 / 0 - 1,\\Slope = - 7 / - 1\\Slope = 7 / 1\\\\Slope = 7[/tex]
Now that we have the slope of this line, we have assume part of the equation of this line ( that passes through the points ( 0, - 4 ) and ( 1, 3 ) );
[tex]y = mx + b -\\m = slope, b = y - intercept[/tex]
Plug in the value of slope for " m " in y = mx + b, and determine the y - intercept by plugging in x as 0 and y as - 4, given the point ( 0, - 4 );
[tex]- 4 = 7 * ( 0 ) + b,\\- 4 = 0 + b,\\b = - 4[/tex]
From this information, we can say that the equation of this line is y = 7x - 4;
Solution, y = 7x - 4
PLEASE SOMEONE HELP ! X
Answer:
When x=-3 , y= -16
when x=-2 , y= -10
when x=-1 , y= -6
when x=0 , y=-4
when x=1 y=-2
when x=2, y= 2
when x= 3, y= 8
Step-by-step explanation:
Equation: y= x^2+x-4
All you have to do is plug in the values of x given in the table inorder to find the y values.
Answer:
When x=-3 , y= -16
when x=-2 , y= -10
when x=-1 , y= -6
when x=0 , y=-4
when x=1 y=-2
when x=2, y= 2
when x= 3, y= 8
Just plug in each x value to the equation
FIRST TO ANSWER GETS BRAINLIEST: The average age of one hundred Year 9 students is 14 y 10 m. The average age of one hundred Year 8 students is 13 y 6 m. What is the average age, (in years and months), for the 200 combined Years 8 and 9 students? OPTIONS: .1) 14 Years 0 Months .2) 14 Years 2 Months .3) 13 Years 11 Months .4) 14 Years 8 Months .5) 13 Years 10 Months
Answer:
2) 14 y 2 m
Step-by-step explanation:
Year 9 students: total age= 100* 14 10/12= 1400 +100*5/6= 1483 y 8 m
Year 8 students: total age= 100* 13 6/12= 1350 y
Total age of 200 students: 1483 y 8 m + 1350 y= 2833 y 8 m
Average age= 2833 8/12 ÷ 200= (12*2833+8)/12 ÷ 200 = 34004/(12*200)= 34004/2400= 14 404/2400 ≈ 14 1/6 y= 14 y 2 m
Can someone help me with the awnser?
Answer:
x = 15
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 20² = 25²
x² + 400 = 625 ( subtract 400 from both sides )
x² = 225 ( take the square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
Answer:
x = 15
Step-by-step explanation:
We need to use Pythagoras Theorem to find the value of x. Usually we use Pythagoras to work out the hypotenuse (the side opposite the right-angle) but we are given the hypotenuse, so we will have to rearrange.
→ Form equation
20² + b² = 25²
→ Simplify
400 + b² = 625
→ Minus 400 from both sides to isolate b²
b² = 225
→ Square root both sides to isolate b
b = 15
I need to write the equation of the line in slope intercept form
Answer:
y = 2x + 5
Step-by-step explanation:
Step 1: Find slope
m = (3-1)/(-1+2) = 2
Step 2: Find y-intercept
(0, 5)
Step 3: Write in slope-intercept form
y = mx + b
y = 2x + 5
And we have your answer!
Answer:
y = 2x + 5
Step-by-step explanation:
We can see the point (-1, 3) and the y-intercept (0, 5). Slope intercept form is y = mx+b, where m is the slope and b is the y-intercept. With this, we know that b = 5. We can plug in the point (-1, 3) with -1 as x and 3 as y to find m. Doing so gives us 3 = -1m+5. This simplifies to -1m = -2, and m = 2. We can now plug in m to get the equation y = 2x + 5.
Britney just got a new video game for her birthday. Yesterday, she played for 27 minutes and beat 3 levels. Today, her parents said she can play for 45 minutes. If she beats levels at the same rate, how many levels should Britney beat today?
Answer:
The answer is 5
Step-by-step explanation:
hope this helped you
Today Britney beat 5 levels of a video game if she played at the same playing proportion with time as yesterday.
What is proportion of doing work?proportion or rate of work done is the ratio of the total work done in a given time divided by the given time. It is the measure of the proportion of doing work per unit time.
proportion of work done = Total work done / Given time
Yesterday ,Britney played 3 levels in time 27 minutes
Work done(levels cleared) = 3 levels
Time taken = 27 minutes
Yesterday the proportion or rate of playing game = 3 levels / 27 minutes = ( 1/ 9) levels/ min
Today, Britney is allowed to play for 45 minutes at the same proportion rate she played yesterday
Then, the work done or level beat today = rate of playing game × time
= (1/9)×45 = 5 games
Therefore, Britney cleared 5 games today if she played at same rate as she did yesterday
Also, Learn ore about the proportion from the link below:
https://brainly.com/question/28351493
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8 Shadi has four bottles
The bottles hold 650 ml, 38 L 5020 ml and 0.045 L
Shadi want to use the bottle that holds closest to litre
Which bottle should be use? Show your working
Answer:
650 ml
Step-by-step explanation:
1 ml = 0.001 L
650 ml = .65 L
38 L = 38 L
5020 ml = 5.02 L
0.045 L = 0.045 L
If Shadi wants to use the one closest to 1 L then she would use the 650 ml bottle
Un grup de ciclistes han de fer una excursió a una casa rural que es troba a 72 quilòmetres del seu poble. El primer dia recorren 2/3 del camí. El segon dia recorren 1/4 del camí i el tercer dia arriben a la casa rural. Calcula els quilòmetres que recorren cada dia.
Answer:
29.76 milles
11.16 milles
44.64 milles
Step-by-step explanation:
Van haver de fer una excursió a una casa rural que està a 72 quilòmetres del seu poble.
El primer dia viatgen 2/3 de camí. Aquest dia, van viatjar:
2/3 * 72 = 48 quilòmetres
En el segon dia viatgen 1/4 de camí. Aquest dia, van viatjar:
1/4 * 72 = 18 quilòmetres
A el tercer dia arriben a la casa de camp. Aquest dia, van viatjar 72 quilòmetres.
Hem de convertir cada un d'ells en milles.
1 km = 0.62 milles
El primer dia:
48 km = 0.62 * 48 = 29.76 milles
El segon dia:
18 km = 0.62 * 18 = 11.16 milles
El tercer dia:
72 km = 0.62 * 72 = 44.64 milles
I will give brainliest if correct
the option for if PQRS is a quadrilateral inscribed in a circle, then the opposite angles of the quadrilateral are complementary/supplementary/equal
Answer:supplementary
Step-by-step explanation:
Opposite angles in any quadrilateral inscribed in a circle are supplements of each other.
If a quadrilateral is inscribed in a circle, opposite angles are congruent.
The values of x and y are 98 and 112 degrees respectively.
How to find the angles of a quadrilateral?
When a quadrilateral is inscribed in a circle, opposite angles are supplementary angles.
Therefore, the angles of the cyclic quadrilateral are as follows:
x + 82 = 180
x = 180 - 82
x = 98 degrees.
y + 68 = 180
y = 180 - 68
y = 112 degrees.
learn more on quadrilateral here: https://brainly.com/question/27751407
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I really need help with this question
Answer:
2pin1,n€Z
2pin2+pi,n2€Z
Step-by-step explanation:
maybe, but I'm not sure
What is the center of a circle represented by the equation (x+9Mrs. Culland is finding the center of a circle whose equation is x2 + y2 + 6x + 4y – 3 = 0 by completing the square. Her work is shown.
x2 + y2 + 6x + 4y – 3 = 0
x2 + 6x + y2 + 4y – 3 = 0
(x2 + 6x) + (y2 + 4y) = 3
(x2 + 6x + 9) + (y2 + 4y + 4) = 3 + 9 + 4)2+(y−6)2=102?
Answer:
The center of the circle is at the point (-3, -2) on the plane
Step-by-step explanation:
The first four steps in the completing of the squares to find the standard equation of a circle are correct. Let's start from there and actually complete the squares correctly:
[tex](x^2+6\,x+9)+(y^2+4\,y+4)=3+9+4\\(x+3)^2+(y+2)^2=16\\(x+3)^2+(y+2)^2=4^2[/tex]
Therefore, this is a circle centered at x = -3 [based on the horizontal translation defined by (x+3)], and at y = -2 [based on the vertical translation defined by (y+2)], and the circle has radius 4 based on the numerical constant squared on the right side of the equal sign.
Tom went to shop to buy 8 eggs . When he reach back home he broke one egg, fry one egg and eat one egg. How much eggs does Tom have now
Answer:
7
Step-by-step explanation:
Answer:
Pretty sure he has 6 eggs
Step-by-step explanation:
The variables A, B, and C represent polynomials where A = x2, B = 3x + 2, and C = x - 3. What is AB - C in simplest form?
The expression below is a sum of cubes.
64x3 + 125
O A. True
O B. False
Answer:
true it's A....
Answer:
A
Step-by-step explanation:
64x³ + 125
∛(64x³ + 125)
= 4x + 5
The expression is a sum of cubes.
9p + 8 Math fraction
Answer:
17p
Step-by-step explanation:
9p+8p=17p
Solve for x h(x)=−7x ; h(x)=63
Answer:
x = -9
Step-by-step explanation:
-7x = 63
Divide -7 into both sides.
-7x/-7 = 63/-7
x = 63/-7
x = -9
Put x as -9 in the function to check.
h(x) = -7x
h(-9) = -7(-9)
h(-9) = 63
Answer:
x = -9
Step-by-step explanation:
h(x)=−7x ; h(x)=63
Set the two equal
-7x = 63
Divide by -7
-7x/-7 = 63/-7
x = -9
Order The numbers from least to greatest
0.453, 0.35, 4/5
Answer:
Step-by-step explanation:
0.35
0.453
4/5
The area of a rectangle, A = l • w is represented by the expression 24x6y15. Which could be the dimensions of the rectangle?
Answer:
l=[tex]24\*x^{6}[/tex]
w=[tex]y^{15}[/tex]
Step-by-step explanation:
We know that the area of rectangle can be determined by the multiply the length to the width i.e
A = l • w..................Eq(1)
Here A represented the area .
l= Length of rectangle
w= Width of rectangle
Here A= [tex]24x^{6} y^{15}[/tex]...
It can be written as [tex]A= 24x^{6} \ *y^{15}[/tex]..............Eq(2)
Comparing the Eq(2) to the Eq(1)
[tex]l=24x^{6}\\ w=y^{15}[/tex]
Answer:
the right answer A. 2x^5y^8 and 12xy^7
Step-by-step explanation:
. Express 3/7 as a rational number with denominator 91.
(1 Point)
Answer:
[tex]\frac{39}{91}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{7}[/tex]
To express as a rational number with 91 on the denominator.
91 ÷ 7 = 13
Thus multiply the numerator and denominator by 13, that is
[tex]\frac{3(13)}{7(13)}[/tex] = [tex]\frac{39}{91}[/tex]
Which recursive formula can be used to represent the sequence
2, 6, 10, 14, 18,... ?
Answer:
We know that a₁ = 2 and that you have to add 4 to the previous term to get the term you are looking for so the answer is:
a₁ = 2
aₙ = aₙ₋₁ + 4
Really need help :( struggling
Answer:
B
Step-by-step explanation:
The original amount will be the coefficient of (1 + 0.04)^r which is $728.00.
Joel rides his bicycle 250m towards north to meet his friend Jim. From there he bicycles 450m south along the same road. What integer will represent his final position from his house?
Answer:
He is 200 meters south of his house.
Step-by-step explanation:
Say north is positive and south is negative, but your answer will be the absolute value. He goes 250m North. He then goes 450m south which would translate into a problem as 250-450=|-200|=200. In simpler terms think of the road as a number line where north is positive and south is negative and your house is zero, you want the distance on the line from zero.
What transformations was not done to the linear parent function, f(x)=x to get the function g(x)=-1/3(x-7)+2?
Answer:
Step-by-step explanation:
Consider that by changing the the variable x with x-c represents a horizontal shift of c units. If c>0 then it is a right shift and it is a left shift otherwise. When we multiply the variable by a number d (i.e dx) we are applying an horizontal compression/stretching. If d>1 it compresses it, and if 0<d<1 it stretches it. By multipyling the variable x by a negative sign, we are reflecting with respect the x -axis. Finally when we add a number to the function, we are applying a vertical shift.
original function x.
1. (x-7): horizontal shift of 7 units to the right.
2. 1/3(x-7): Horizontal stretching by factor 1/3.
3.-1/3(x-7): Reflection with respect the x-axis
4.-1/3(x-7)+2: Vertical shift of two units up.
Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paula shovel in 1 minute than Melinda?
Answer:
3 more square feet.
Step-by-step explanation:
x = The amount Melinda can shovel in 1 minute
y = The amount Paula can shovel in 1 minute
So make two equations:
30(x + y) = 450 x + y = 15 x = 15 - y
20x + 25y = 345 4x + 5y = 69
Plug in:
4(15 - y) + 5y = 69
60 - 4y + 5y = 69
y = 9
x = 6
9 - 6 = 3
Answer:
Answer is A
Step-by-step explanation:
Took it on Edg.
Which shape is an equivalent fraction to this fraction? 3/4
10/14
7/8
6/8
4/7
Answer:
6/8
Step-by-step explanation:
3/4
Multiply by 2/2
3/4 *2/2 = 6/8
N(x) = -3(x - 2)2 + 60,
Plot the axis of symmetry and the vertex for this function
Answer:
Step-by-step explanation:
-3/7 * 1-1/14 answer answer
Answer:-1/2
Step-by-step explanation:
-3/7 x 1-1/14
Multiply first
-3/7-1/14
-7/14=-1/2
Answer:
-1/2
Step-by-step explanation:
Please help ! I don’t understand:((
Answer:
B
Step-by-step explanation:
sorry if im wrong but i used desmos next time its graphing use desmos
ABC and ADC are triangles. The area of triangle ADC is 52m^2. Work out the length of AB. Give your answer to 1 decimal place.
Answer:
AB = 10.2m
Step-by-step explanation:
Area of triangle ADC = 52m²
AD = 12m, angle D = 102°
Area of triangle ADC = ½ × a × b × sinC
52m² = ½ × 12 × CD × sin102
52 = 6 × CD × 0.9781
CD = 52/(6× 0.9781)
CD = 52/(5.8686)
CD = 8.86m = 8.9m (1 decimal place)
Using Cosine rule to find AC = d
d² = a² + c² -2×a×d ×cosD
d² = 8.9² + 12² - 2×8.9×12× Cos102
Cos102 = -0.2079
d² = 267.61744
d = √(267.61744)
AC = d = 16.4m
For ∆ABC
Using sine rule:
a/sinA = b/sinB
AB/sin46 = AC/sin120
AB/0.7193 = 16.4/0.866
AB = 14.2024 ×0.7193
AB = 10.2m (1 decimal place)
Answer: 13.6
Step-by-step explanation:
See photo
The perimeter of a square is 4s, where s is the length of one side.
Find the perimeter of the square at the right. Show unit analysis.
7 ft
Answer:
28ft.
Step-by-step explanation:
If [tex]s[/tex] equals 7 and the perimeter equals 4 times [tex]s[/tex], then the perimeter would be 4 times 7.
what is the answer of this attachment:
Answer:
(B) 2
Step-by-step explanation:
=> [tex]\frac{\sqrt{32}+ \sqrt{48} }{\sqrt{8}+\sqrt{12} }[/tex]
=> [tex]\frac{4\sqrt{2}+4\sqrt{3} }{2\sqrt{2}+2\sqrt{3} }[/tex]
=> [tex]\frac{4(\sqrt{2}+\sqrt{3}) }{2(\sqrt{2}+\sqrt{3)} }[/tex]
Cancelling [tex]\sqrt{2}+\sqrt{3}[/tex]
=> [tex]\frac{4}{2}[/tex]
=> 2