Answer:
y = -1/2 x + 5
Step-by-step explanation:
1) y = mx + b
2) m is the slope and b is the y-intercept
3) For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form: m = y2 - y1 / x2 - x1
4) Also, let's call the second point you gave, (6,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=2.
5) Now, just plug the numbers into the formula for m above, like this: m = -1/2
6) So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this: y = -1/2 x + b
7) To find b, think about what your (x,y) points mean:
(4,3). When x of the line is 4, y of the line must be 3.
(6,2). When x of the line is 6, y of the line must be 2.
8) You can use either (x,y) point you want..the answer will be the same:
(4,3). y=mx+b or 3=-1/2 × 4+b, or solving for b: b=3-(-1/2)(4). b=5.
(6,2). y=mx+b or 2=-1/2 × 6+b, or solving for b: b=2-(-1/2)(6). b=5.
9) So, this means that the equation of the line is y = -1/2 x + 5
Due to delays a company had to extend a project from 28 days to 76 days. What was the percentage increase in time to complete the project. Round your answer to the nearest tenth.
Answer: [tex]171.4\%[/tex]
Step-by-step explanation:
Given
Time is extended from 28 days to 76 days
The percentage increase is given by
[tex]\Rightarrow \dfrac{\text{New-original value}}{\text{original value}}\times 100[/tex]
Putting values
[tex]\Rightarrow \dfrac{76-28}{28}\times 100=\dfrac{48}{28}\times 100\\\\\Rightarrow 171.4\%[/tex]
Thus, the percentage increase in time is [tex]171.4\%[/tex]
Isla wants to solve the equation 2.5x – 1.75 = 5(7 – 0.5x).
She uses a graphing program to graph the equations y = 2.5x – 1.75 and y = 5(7 – 0.5x).
Use the graph to find the solution of 2.5x – 1.75 = 5(7 – 0.5x).
Answer:
7.35
Step-by-step explanation:
If you solve the equation
2.5– 1.75 = 5(7 – 0.5)
Then...
x=7.35
Answer:
7.35
Step-by-step explanation:
Please help me ASAP!!!
Answer:
the third one (2,-18)
Step-by-step explanation:
What is the total surface area of this cylinder?
Select one.
o
1,539.38 inches squared
O
O
923.16 inches squared
O
307.72 inches squared
O
1.230.88 inches squared
What is the geometric mean of 18 and 49
Step-by-step explanation:
Geometric mean =√18×49√88229.69hope it helps.
Answer:
Below
Step-by-step explanation:
√(18*49)
= √882
= 29.70 to nearest hundredth.
Rectangle ABCD with vertices A(-8,6), B(-2,8), C(-1,5), and D(-7,3) is reflected over the y-axis. What are the new points?
3/4 divided by 6 2/3
Answer: 9/80
Step-by-step explanation:
A. 58
B. 110
C. 45
D. 51
Answer:
A. 58
Step-by-step explanation:
70° + m<3 + 52° = 180°
m<3 = 58°
Answer:
A. 58°
Step-by-step explanation:
here's your solution
==> 70° + 52° + angle 3 = 180°. [linear pair]
==> angle 3 + 122° = 180°
==> angle 3 = 180° - 122°
==> angle 3 = 58°
hope it helps
PLEASE ANSWER ASAP
no links please
what is xy?
answers: a: ^ 2 b: 5 c: 5^2 d: 10
Answer:
C: 5√2
Step-by-step explanation:
Answer is C, 5[tex]\sqrt{2}[/tex] hope this helps !!!
Explanation: A 45°-45°-90° triangle is a special right triangle that has two 45-degree angles and one 90-degree angle. The side lengths of this triangle are in the ratio of; Side 1: Side 2: Hypotenuse = n: n: n√2 = 1:1: √2. The 45°-45°-90° right triangle is half of a square.
PLEASE ANSWER!!! I WILL GIVR U BRAINLIEST!!
Answer:
k = 5
Step-by-step explanation:
The standard form of an equation representing proportionality is
y = kx ← k is the constant of proportionality
y = 5x ← is in standard form
with k = 5
I need help please!!
Answer:
1
Step-by-step explanation:
sike i lied this is so easy pls try pls
Substitute the values of a = 7 and b = 11. What expression do you get when you substitute these two values? 67 + 311 6 ( 7 ) + 3 ( 11 ) 6 ( 7 ) - 3 ( 11 ) 7 ( 7a) + 3 ( 11b)
Answer:
[tex]6(7) + 7(11)[/tex]
Step-by-step explanation:
Given
The expression is:
[tex]6a + 7b[/tex]
[tex]a = 7[/tex]
[tex]b = 11[/tex]
Required
The corresponding expression when the values are substituted for the variables
We have: [tex]6a + 7b[/tex]
Substitute [tex]a = 7[/tex]
So, the expression becomes:
[tex]6(7) + 7b[/tex]
Substitute [tex]b = 11[/tex]
So, the expression becomes:
[tex]6(7) + 7(11)[/tex]
Please help me I don’t under stand helpppp ASAP
Answer:
25
Step-by-step explanation:
Answer:
27.7
Step-by-step explanation:
What is the value of the following expression when x = 4, 7x + 6(3x-8)
Answer:
52
Step-by-step explanation:
1) 7x + 6(3x-8)
2) 7(4) + 6(3(4)-8)
3) 28 + 6(12-8)
4) 28 + 6(4)
5) 28 + 24
6) 52
The perimeter of a rectangle is 36 cm and the length is twice the width. What are
the dimensions of this rectangle?
Width? _____ cm
Length? ____ cm
Answer:
Width __6___ cm
Length __12__ cm
Step-by-step explanation:
hello :
x : the width and y : Length P : the perimeter
P=2(x+y ) but : P=36cm and : y = 2x
36 = 2(x+2x)
36 = 2(3x)
6x =36 so : x=6 cm and y = 2×6=12cm
Step-by-step explanation:
If breadth is b,then length will be 2b,so
Perimeter=36
2(2b+b)=36
3b=18
b=6,so,l=2×6=12
So,length is 12 and breadth is 6,
Hope it helps…
165 Students went on a filed trip. three buses were filled and 21 students traveled in cars. how many students were in each bus?
Answer:
48 students in each bus
Step-by-step explanation:
Find the value of x that makes the quadrilateral a parallelogram.
2x + 3
X +7
Answer:
the value of x is 4
Step-by-step explanation:
i think that is the value of x
Solve the equations with variable on both sides: 8x=10x + 20 A. X= -10 B. X= -35 C. X= -23 D. X= -40
The correct answer is A
A) [tex]8(-10)=10(-10)+20[/tex] becomes [tex]-80 = -80[/tex]
B) [tex]8(-35)=10(-35)+20[/tex] becomes [tex]-280 \neq -330[/tex]
C) [tex]8(-23)=10(-23)+20[/tex] becomes [tex]-184 \neq -210[/tex]
D) [tex]8(-40)=10(-40)+20[/tex] becomes [tex]-320\neq -380[/tex]
In the equation (x+2)2+(y-3)2=4, the diameter of the circle is...
16
4
3
2
Answer:
4
Step-by-step explanation:
The given equation of circle is:
[tex] (x+2)^2 +(y-3)^2 =4 [/tex]
[tex] (x+2)^2 +(y-3)^2 =2^2 [/tex]
Equating it with:
[tex] (x-h)^2 +(y-k)^2 =r^2 [/tex]
We find:
[tex] r^2=2^2 [/tex]
[tex]\therefore r=2 [/tex]
Radius of the circle = 2 units
Therefore,
Diameter of the circle = 2*2= 4 units
Find the volume of the triangular prism below 5mm 12mm 3mm
Answer: 90 mm cubed
Step-by-step explanation:
Formula = (L*W*H) / 2
5 * 12 * 3 = 60 * 3 = 180
180 / 2 = 90
Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x - 2) true?
Answer:
x = -56
Step-by-step explanation:
0.75(x + 20) = 2 + 0.5(x - 2)
0.75x + 15 = 2 + 0.5x - 1
0.25x = -14
x = -14/0.25
x = -56
someone please explain to me how this is done please
Answer:
10√6 ; √5/6 ; 42√14
Step-by-step explanation:
1) - factorise 240
240/ 2 = 120
120/2 = 60
60/2 = 30
30/2 = 15
15/3 = 5
5/5 = 1
240 = 2^4 * 3 * 5
- simplify [tex]\sqrt{2^4 * 5 * 3}[/tex]. We can in particular simplify [tex]\sqrt{2^4}[/tex] by dividing the index of the radius and the exponent by 2
[tex]2^2\sqrt{5*3} = 4\sqrt{15}[/tex]
- factorise 12
12/2 =.6
6/2 = 3
3/3 = 1
12 = 2^2 * 3
- simplify [tex]\sqrt{2^2 *3}[/tex]
[tex]\sqrt{2^2 * 3} = 2\sqrt{3}[/tex]
- divide [tex]4\sqrt{15} with 2\sqrt{3}[/tex]
number : number = 4/2 = 2
square : square = √15 / √3 = √5
[tex]2\sqrt{5}[/tex]
- multiply √30 with 2√5
number x number = 2x1 = 2
square x square = √30 x √5 = √150
2√150
- factorize 150
150/ 2 = 75
75/3 = 25
25/5 = 5
5/5 = 1
150 = 5^2 x 2 x 3
- simplify [tex]\sqrt{5^2 * 2 * 3}[/tex]
[tex]\sqrt{5^2 * 2 * 3} = 5\sqrt{6}[/tex]
- multiply 2 and 5
10√6
2) remember that a division of two terms with the same square can be rewrite as [tex]\sqrt{x/y} = \sqrt{x} / \sqrt{y}[/tex]
- rewrite the expression in this way
[tex]\sqrt{5} / \sqrt{9} + \sqrt{5} / \sqrt{144} - \sqrt{5} / \sqrt{16}[/tex]
- solve the squares of the denominators
√5/3 + √5/12 -√5/4
- rewrite the fraction with the same denominator = 12
(4√5 + √5 - 3√5)/12
- simplify the numerators by sum the numbers
2√5/12
- divide 2 and 12
√5/6
3)
- multiply 3√2 and √14
number x number = 3 x 1 = 3
square x square = √2 x √14 = √28
3√28
- factorise 28
28 = 2^2 x 7
- simplify [tex]\sqrt{2^2 *7}[/tex]
[tex]\sqrt{2^2 *7} = 2\sqrt{7}[/tex]
- multiply 3 and 2
6√7
- factorise 98
98/2 = 49
49/7 = 7
7/7 = 1
98 = 7^2 * 2
- simplify [tex]\sqrt{7^2 * 2}[/tex]
[tex]\sqrt{7^2 * 2} = 7\sqrt{2}[/tex]
- multiply 6√7 and 7√2
number x number = 42
square x square = √14
42√14
The cost of electricity is obtained as follows: A fixed charge of $(a), rent of a meter $(b) and a charge of (c) cents for unit of electricity supplied Determine the total cost of using n units of electricity.
Answer:
$(a + b) + cn cent
Step-by-step explanation:
Given :
Fixed charge = $a
Rent of a meter = $b
Charge per unit of electricity = c cents
The total cost of using n units of electricity :
For n units of electricity ;
Fixed charge is paid once
Meter rent is paid once
The cost of electricity = (number of units * cost per unit) = (n * c) = nc cents
Total cost of n units of electricity :
$(a + b) + cn cent
manuela wants to make a cube from construction paper . if she cuts out the design below and folds it to make a cube , what will be the surface area of the cube?
25 cm2
70 cm2
125 cm2
150 cm2
Answer:
150 cm2
Step-by-step explanation:
one square would simply be base x height our base is 5 and height is 5 so i multiply that and get 25 since this is a cube all sides are equal so I will simply just multiply 25 by the number of sides since a cube has 6 sides our equation to get the answer would be 25 x 6 = 150 so 150 is our answer! Hope this is a good explanation! Have a good day!
Sharon is 3 years less than twice her younger brothers age. Let’s (s) represents Sharon’s age and (b) represent her brothers age
Which equation could be used to show Sharon’s age?
There is a picture of the answers
Answer:
C (s = 2b - 3)
Step-by-step explanation:
Sharon (s)
is (=)
Three years less (- 3)
Than twice her brothers age (2b)
Answer:
s = 2b - 3
Step-by-step explanation:
Sharon is 3 years younger than twice her younger brother's age.
If n/12 = 15/36 , then n= ___.
pls help me!
Answer: n=5
have an amazing day <3
an equation is shown. x + 3 = 8.5 what is the solution to the equation
Answer:
mbcnnb.hhhhjsjsjsnwjwnnwnwnenenebebeneme dcecvejsksmemebeccehsnsnsne evvenekeiekekenbegegevebbehehenebebbebebendhfhhcjcmc d d ecevegjskdkdklxbxbcbfdvvdvdhejrklnssfbmjffbb c
Step-by-step explanation:
nbsnsmsmlslakwj
Please help!! Select the values for the domain & range of the function given below.
Answer:
the first one n second one
arrange the following elements according to the increasing atomic size
Ai, P, Si, Mg
Thank for help find a volume
Answer:
117π=367.38
Step-by-step explanation:
r=d/2=3
V=πr2h=π·3²·13=117π=367.38
