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
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]
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
Please help me ASAP!!!
Answer:
the third one (2,-18)
Step-by-step explanation:
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:
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?
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:
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
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.
3/4 divided by 6 2/3
Answer: 9/80
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
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.
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
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]
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!
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…
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]
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
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.
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
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
Please help!! Select the values for the domain & range of the function given below.
Answer:
the first one n second one
Please help me I don’t under stand helpppp ASAP
Answer:
25
Step-by-step explanation:
Answer:
27.7
Step-by-step explanation:
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
I need help please!!
Answer:
1
Step-by-step explanation:
sike i lied this is so easy pls try pls
arrange the following elements according to the increasing atomic size
Ai, P, Si, Mg
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
If n/12 = 15/36 , then n= ___.
pls help me!
Answer: n=5
have an amazing day <3