Answer:
-1/8x+3
Step-by-step explanation:
Answer:
y = -1/8x+3
Step-by-step explanation
your slope intercept form should be written as y=mx+b
m = slope = -1/8
y intercept = b = 3
now just replace m and b with your values
y = -1/8x+3
What forms of the following equation in?
2x+3y=15
The rectangle and the trapezoid have the same area. What is the length l of the rectangle?
Please show work
Answer:
length = 18 ft
Step-by-step explanation:
A(rect) = 9l
A(trap) = 1/2(9)(24+12) → 4.5(36) → 162
9l = 162
l = 162/9
l = 18
=====================================================
How to get the answer:
We first need to compute the area of the trapezoid
area of trapezoid = height*(base1+base2)/2
A = h*(b1+b2)/2
A = 9*(12+24)/2
A = 9*(36/2)
A = 9*18
A = 162
The trapezoid has an area of 162 square feet.
---------
The rectangle also has an area of 162 sq ft.
area of rectangle = length*width
A = L*W
A/W = L
L = A/W
L = 162/9
L = 18
The length of the rectangle is 18 feet.
---------
Side note: both rectangle and trapezoid have the same height (9 feet). Notice how the average of the 12 ft and 24 ft sides leads to 18 ft, which is exactly the value of L. It's not a coincidence these two facts line up.
1) Derrick is sharing pizza with his 3 friends. They have 6/8 of a pizza. If they split the pizza evenly, how much pizza does each person get? Show your work with both a model and an equation.
Answer:
3/16
Step-by-step explanation:
So Derrick is sharing pizza with 3 friend, so in total, there are 4 people.
There is 6/8 pizza in current total pizza.
[tex]\frac{\frac{6}{8}}{4} =6/32=3/16[/tex]
Answer:
2/8
Step-by-step explanation:
each person would get 2/8
I need help. what is the slope?
(The bottom one says : (-1, -6)
PLEASE HELP!!!!!!.....
Answer:
x=2
Step-by-step explanation:
hope this helps! :D
to everyone reading this: have a miraculous day!! <3
Answer:
x=2
Step-by-step explanation:
..............
✌️❤️✌️
what is the solution to the system of equations graphed below? y=-x+3 y=x-3
Answer:
x-3=-x+3
2x=6
x=3 y=0
the solution is the intersection of those two lines!
Mandy is setting up for a reception. For the number of seats needed, she knows she can use either 8 seats at each table with none left over, or 10 seats at each table with none left over. Which is the least number of seats she is setting up?
6.2 + 0.4x = 8.05 as a decimal . do not round
[tex] \: \: \: \: [/tex]
[tex] \pink{x = 4.625} \\ \\ or \: in \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]
Step-by-step explanation:
[tex]6.2 + 0.4x = 8.05[/tex]
move the constant to the right[tex]0.4x = 8.05 - 6.2[/tex]
calculate[tex]0.4x = 1.85[/tex]
divide both sides[tex] \pink{x = 4.625} \\ \\ in \: \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]
hope it helps[tex] \huge\bf Question:—[/tex]
[tex] \sf \longmapsto \: 6.2 + 0.4x = 8.05[/tex]
[tex] \bf \huge \: Solution:—[/tex]
[tex]\boxed{ \underline{\bf \: Solving \: for \: x:—}}[/tex]
[tex] \boxed{\bf \: Simplify \: both \: sides \: of \: the \: uequation:—}[/tex]
[tex]\sf \longmapsto6.2 + 0.4x = 8.05[/tex]
[tex]\sf \longmapsto0.4x+6.2=8.05[/tex]
[tex]\boxed{ \bf \: Subtract \: 6.2 \: from \: both \: sides:—}[/tex]
[tex]\sf\longmapsto0.4x+6.2−6.2=8.05−6.2[/tex]
[tex]\sf \longmapsto0.4x=1.85[/tex]
[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.4:—}[/tex]
[tex]\sf \longmapsto \: \dfrac{0.4x}{0.4} = \dfrac{1.85}{0.4} [/tex]
[tex] \boxed{\bf \: Cross-multiply:—}[/tex]
[tex]\sf \longmapsto0.4x \times (0.4)=(1.85) \times (0.4)[/tex]
[tex]\sf \longmapsto \: 0.16x = 0.74[/tex]
[tex] \boxed{\bf \: Divide \: both \: sides \: by \: 0.16:—}[/tex]
[tex]\sf \longmapsto \: \dfrac{0.16x}{0.16} = \dfrac{0.74}{0.16}[/tex]
[tex]\boxed{ \bf \: Cross-multiply:—}[/tex]
[tex]\sf \longmapsto0.16x \times (0.16)=(0.74) \times (0.16)[/tex]
[tex]\sf \longmapsto0.0256x=0.1184[/tex]
[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.0256:—}[/tex]
[tex]\sf \longmapsto \: \dfrac{0.0256x}{0.0256} = \dfrac{0.1184}{0.0256} [/tex]
[tex]\sf \longmapsto \: x = 4.625[/tex]
[tex] \underline{{\boxed{\bf \: Answer:—}}}[/tex]
[tex] \boxed{\huge\red{\bf \: 4.625}}[/tex]
[tex]\boxed{\underline{\bf Answer\: In \: Fractional\: Form:—}}[/tex]
[tex]\boxed{\bf \dfrac{37}{8}} [/tex]
[tex]\boxed{\underline{\bf Answer\: In \:Mixed\: Fraction:—}}[/tex]
[tex]\boxed{\bf 4\dfrac{5}{8}}[/tex]
A line passes through the points (9,6) and (6,5). What is its equation in slope-intercept form?
Answer:
Y=X/3+3
Step-by-step explanation:
M= Y2-Y1/X2-X1
= 5-6/6-9
= -1/-3
= 1/3
sub x=6, y=5, M=1/3 into Y=MX+C
5=6/3+C
5=2+C
5-2= 2+C-2
3=C
What is the value of t?
t − 122 = 2t − 3
A. t = -2
B. t = -6
C. t = 6
D. t = 2
Answer:
-39 2/3
Step-by-step explanation:
t - 122= 2t - 3
subtract 't' from each side to get:
-122 = 3t - 3
add 3 to each side to get:
-119 = 3t
divide each side by 3 to get:
t = -39 2/3
Help please serious answers only
Step-by-step explanation:
1 Use the Quadratic Formula.
x=\frac{2+2\sqrt{14}\imath }{30},\frac{2-2\sqrt{14}\imath }{30}
x=
30
2+2
14
,
30
2−2
14
2 Simplify solutions.
x=\frac{1+\sqrt{14}\imath }{15},\frac{1-\sqrt{14}\imath }{15}
x=
15
1+
14
,
15
1−
14
Done
HELP ME GUYS THANKS !
Answers:
-32
-8
-2
4
Step-by-step explanation:
[tex]y = 6x - 2[/tex]
[tex]y_1 = 6(-5) - 2 = -30 -2 = -32[/tex]
[tex]y_2 = 6(-1) - 2 = -6 -2 =-8[/tex]
[tex]y_3 = 6(0) - 2 = 0 -2 = -2[/tex]
[tex]y_4 = 6(1) - 2 = 6 -2 = 4[/tex]
Step-by-step explanation:
Ok so the function rule is: y=6x-2
We have 4 sets of numbers under the value "x." That means we have to input the given values into the function.
First is x=-5. We input -5 into the function so we get y=6(-5)-2. We multiply 6 and -5 and we get -30, then we subtract 2 from -30. Then for the answer for the first column, we get -32 for the y value.
Now we have x=-1. We input the number for x in the function and we get y=6(-1)-2. We multiply 6 and -1 and we get -6, then we subtract -2 from -6 and we get -8. So out y value for the second row is -8.
Try the next two on your own to see if you understand. If you still don't understand please comment under this answer. I'll try to respond as quickly as I can.
Find the value of x for the following triangle. Give your answer to a whole number. (No decimal)
Answer:
12
Step-by-step explanation:
Use the original price and the markdown to find the retail price.
Original price: $80; Markdown: 16%
Answer:
its b
Step-by-step explanation:
Answer:
The answer would be $67.2.
Step-by-step explanation: The answer would be $67.2. Take 80, divide it by 100 to get 1% of 80, 0.80. Now since you are taking 16% off the original price (100%), you multiply 0.80 (1%) by 84 (for 84% price), to get $67.2. This means, after the markdown, the 80$ item is now $67.2
1) Find the area of the shaded region
if the big diameter is 12 in, and the
small diameter is 8 in.
Answer:
the answer in 12 x 8÷2 =48
Using pennies, nickels, and dimes, how many
ways can you make 16 cents?
Answer:
16 pennies, one dime and 1 nickel and 1 penny, 3 nickels and 1 penny.
Step-by-step explanation:
Answer:
1 dime, 1 nickel, 1 penny
Step-by-step explanation:
1 dime= 10 cents
1 nickel= 5 cents
1 penny= 1 cent
what is the number of terms for 1000z + 800y
Answer:
2 terms
Step-by-step explanation:
hope this helps! :D
have a MIRACULOUS day!! <3
Is there a proportional relationship between category 1 and Category 2 in the table below
Answer: Please upload the image or PDF.
HELP THIS IS DUE TODAY!!!!!!!!
Answer:
the loop is going by 4
Step-by-step explanation:
how does 9 + 9 = 6 ?
Answer:
it does not, it equals 18
Step-by-step explanation:
9+9=18 - true
9+9=6 - false
For f(x) = 2x+1 and g(x) = x2 - 7, find (f+ g)(x).
=
A. x2 + 2x - 6
B. 2x3 - 6
C.x2 + 2x+8
D. 2x2 – 15
Answer:
the answer is A. it good answer
Find the total surface area of the cone in the figure. (Use π = 3.14.)
A) 219.8 cm2
B) 266.9 cm2
C) 314.0 cm2
D) 282.6 cm2
Answer:
282.6 cm^2
Step-by-step explanation:
typed it into a surface area calculator and I got the answer right
Adelita, Elena, Betina, and Bianca each work as a doctor, lawyer, teacher, or banker. From these clues, decide who is the doctor.
Answer: Adelita
Step-by-step explanation:
because if its going in order of the names by jobs then its adelita
Help please (50 points)
Provide the missing statements and reasons for the following proof.
Theorem opposite slides of parallelograms are congruent
Answer:
R3. alternate interior angles
( alternate interior angles are always congruent )
S4. AC = CA
R5. ASA triangle congruence property
( you have 2 angles and the included side, so you know they're congruent )
lmk if you want an actual explanation
WILL GIVE BRAINLIEST! Given: ∆ABC, AB =√2. M ∈ AC, AM = 1. BM = 1, BC = 2. Find: m∠ABC
The measurement of ∠ ABC in [tex]\triangle ABC[/tex], When AB =√2, AM = 1. BM = 1, BC = 2 will be [tex](\cos^{-1}{5)[/tex].
The measures of angle ∠ ABC can be calculated as:
The Law of Cosines, states that:
[tex]c^2 = a^2+ b^2 - 2ab \cos (C)[/tex]
Where, c is the side opposite angle C, and a and b are the other two sides of the triangle.
The sides of ∆ ABC will be :
AB = [tex]\sqrt{2}[/tex] (given)
BC = 2 (given)
[tex]AC = 1 + \sqrt{MC}[/tex]
∆ ABC is a triangle and according to the triangle inequality theorem, the The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
So:
BC+AB > AC
[tex]2+\sqrt 2 > 1 + {\overline{MC}}[/tex]
[tex]\sqrt 2 +1 > \overline{MC}[/tex]
The law of cosines for [tex]\angle ABC[/tex] can be calculated as:
[tex]{BC}^2 = {AB}^2 + {AC}^2 - 2.AB.AC.cos(\angle ABC)[/tex]
The values can be obtained by the substitution.
[tex]2^2 = (\sqrt2)^2 + (1+{\overline {MC)}^2 - 2.\sqrt2 > (1 +{\overline{MC}).cos (\angle ABC)[/tex]
[tex]4 = 3 +2.\overline{MC} + \overline{(MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]
This can be simplified as:
[tex]0 = 3 + 2.\overline{MC} + \overline{MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]
The value of [tex]\overline{MC}[/tex] can be calculated as:
[tex]\sqrt 2+1 > \overline{MC}[/tex]
Substitute the value in the equation,
[tex]0 = 3+2.(\sqrt2+1) + (\sqrt2+1)^2 - 2.\sqrt2. (1+ \sqrt2+ 1).cos (\angle ABC)[/tex]
[tex]0 = 3+2 \sqrt2+4+2\sqrt2+1-2\sqrt2-2-2\sqrt2-2\sqrt2- 2.cos (\angle ABC)[/tex]
[tex]0 = 10 - 2.cos (\angle ABC)[/tex]
Thus, the value of cos [tex](\angle ABC)[/tex] is calculated as:
[tex]cos (\angle ABC) = \dfrac{10}{2}[/tex]
[tex]cos(\angle ABC) = 5[/tex]
Thus, the value of[tex](\angle ABC)[/tex] is [tex](\cos^{-1}{5)[/tex].
Learn more about angles here:
https://brainly.com/question/14569348
#SPJ12
What is the length of leg y of the right triangle? (1 point)
A right triangle with hypotenuse 37 and legs 35 and y
A)2
B)8
C)12
D)35
Answer:
C)12
Step-by-step explanation:
[tex] {y}^{2} = {37}^{2} - {35}^{2} [/tex]
[tex] {y}^{2} = 1369 - 1225[/tex]
[tex] {y}^{2} = 144[/tex]
[tex]y = 12[/tex]
any one is good at math can help :(
A boy is walking at 3 m/s He is 25 kg and his back pack is 5kg. What is the boys momentum when carrying the back pack?
90 kg m/s
10 kg m/s
15 kg m/s
75 kg m/s
Answer:
90 kg m/s
Step-by-step explanation:
The equation for momentum is
p= mass x velocity
so our velocity is 3 thats is given
the mass must be calculated by adding 25 and 5
this adds to 30
30 x 3 = 90
Help me with my math work please! Whoever helps gets 50 points! Thnx!
Answer:
6) y=-2
7) w=15
8) x=1
Set of ordered pairs: Is it a function? (yes no ) Why or why not? (0,3),(-1,4),(2,4),(0,8),(5,7)
Answer:
No
Step-by-step explanation:
A function cannot have two different points with the same x-coordinate. For instance in this one, (0,3) & (0,8) share the same value of x