Answer:
Original equation: C-21=16
Add 21 to both sides: C=37
Hope this helps!
4x2 +9y2 = 72
x - y2 = -1
Select all of the following that are solutions to the system shown.
Solve?
Answer:
[tex]\bold{\left(\dfrac{3}{13}\ ,\ \dfrac{4\sqrt{13}}{13}\right)\qquad\vee\qquad \left(\dfrac{3}{13}\ ,\ -\dfrac{4\sqrt{13}}{13}\right)}[/tex]Step-by-step explanation:
x - y² = -1 ⇒ - y² = - x - 1 ⇒ y² = x + 1 {x≥-1}
4x² + 9y² = 72
4x² + 9(x + 1)² = 72
4x² + 9(x² + 2x + 1) = 72
4x² + 9x² + 18x + 9 - 72 = 0
13x² + 18x - 63 = 0 ⇒ a = 13, b = 18, c = -63
[tex]x=\dfrac{-18\pm\sqrt{18^2-4\cdot13\cdot(-63)}}{2\cdot13}=\dfrac{-18\pm\sqrt{324+252}}{26}=\dfrac{-18\pm\sqrt{576}}{26}\\\\x=\dfrac{-18+24}{26}=\dfrac3{13}\qquad\vee\qquad x=\dfrac{-18-24}{26}=-\dfrac{21}{13}\\\\ y^2= x + 1\quad\iff\quad x\ge-1\\\\y^2=\dfrac3{13}+1\\\\ y^2=\dfrac{16}{13}\\\\y=\dfrac{4}{\sqrt{13}}=\dfrac{4\sqrt{13}}{13}\qquad\vee\qquad y=-\dfrac{4\sqrt{13}}{13}[/tex]
Jayson said, "I am thinking of two fractions that when added have a sum of 1." Which fractions could Jayson have been thinking about?
Answer:
he could have been thinking of 1/2 + 1/2 or 4/8 + 4/8 or maybe 5/10 + 5/10
because 2/2=1 and so does 8/8 and 10/10
Step-by-step explanation:
What is this -5/7 divide by -1/3
Answer:
15/7
Step-by-step explanation:
Answer:
15/7
Step-by-step explanation:
(-5/7)/(-1/3)=(-5/7)(-3/1)=15/7
Amaia walks from her home to the bank, then to the park, and then to get groceries before heading home. The path she travels is in the shape of a parallelogram and is shown in the diagram below. How many total meters did Amaia walk?
Answer:
Amaia walked 28 meters
Step-by-step explanation:
So first we know that the side x+3 is equal to the side 3x+1
subtract 1 and x from both sides to get x=1
then we plug in the 1 to the equation x+9 and we know that side equals 10, meaning the parallel side is also 10.
plug in 1 to one of the original equations to get 4
4+4+10+10=28
3. Sandi is making curtains for her bedroom. She needs 58 feet of fabric. She has 14 yards of fabric. How many more yards of fabric does she need?
Answer:
she needs 3 1/3 more yards
Step-by-step explanation:
There are 3 feet in a yard
14yards x 3feet = 42 feet
58 feet- 42 feet= 10 feet
10 divded by 3 is about 3.3
Answer: 6 yards
Step-by-step explanation:
1) 14 x 3 = 42
2) 58 - 42 = 16
3) 16 / 3 = 5.33333333....
4) round up = 6
someone help me with this ples with steps
Answer:
[tex]x=\frac{21}{4}[/tex]
[tex]y=\frac{21}{2}[/tex]
Step-by-step explanation:
equation (1): [tex]\frac{1}{2} (2x+y)=\frac{21}{2}[/tex]
equation (2): y=2x
solve the system by substitution
step1: sub (2x) for y in equation 1:
[tex]\frac{1}{2} (2x+y)=\frac{21}{2}[/tex]
[tex]\frac{1}{2} (2x+2x)=\frac{21}{2}[/tex]
step2: simplify the expression:
[tex]\frac{1}{2} (4x)=\frac{21}{2}[/tex]
[tex]2x=\frac{21}{2}[/tex]
(divide by 2 for both sides)
[tex]x=\frac{21}{4}[/tex]
To find the value for y sub 21/4 for x in equation 2:
y=2x
y=2×(21/4)
[tex]y=\frac{21}{2}[/tex]
7b / b (when b = 2)
ANswer please
Answer:
7
Step-by-step explanation:
7b/b = 7...(b does not matter)
find the surface area of a cube with a side length of 5 centimeters.
The 6 faces of a cube have equal are.
Each face has are of 5*5=25 because they are all squares.
Now we just multiply by 6
25*6=150 centimeters cubed.
Done!
Step-by-step explanation:
step 1. a cube had 6 sides
step 2. each side is a square
step 3. the area of each side is 5x5 = 25cm^2
step 4. the surface area of the cube is 25x6 = 150cm^2.
Factor: 3bc-4ad +6ac-2bd
Can you create a rubric for this math question
Answer:
(3c−2d)(2a+b)
Step-by-step explanation:
3bc−4ad+6ac−2bd
Do the grouping 3bc−4ad+6ac−2bd=(6ac−4ad)+(3bc−2bd), and factor out 2a in the first and b in the second group.
2a(3c−2d)+b(3c−2d)
Factor out common term 3c−2d by using distributive property.
(3c−2d)(2a+b)
Fraction 2 1/3 ÷ 1/4
Answer:
mixed number form: 9 1/3
decimal form: 9.3 (repeating)
Step-by-step explanation:
Answer:
9.33
Step-by-step explanation:
2 1/3 ÷ 1/4
change mixed fraction tom improper fraction - 2x3+1 = 7/3
change divide sign to multiply and reciprocate 1/4 to 4/1
multiply fractions- 7/3 x 4/1
7x4/ 3x 1
28/3
9.33
round 6 3/4 to the nearst whole number
Answer:
7
Step-by-step explanation:
do you really need one?
Use your knowledge of functions to complete the table below. Identify whether or not each representation is a function and be sure to justify your answer (pls tell me which one is right)
Answer:
YesUs
Step-by-step explanation:
the vertical LIne test. The lines intercept, so it is not a function.
I need help quick I’ll give brainliest
Answer:
Area of circle - Area of square
radius of circle is 8m
side of squre os 12m
Step-by-step explanation:
Area of circle is pie r^2
22/7 × 8 × 8
22/ 7 × 64
= 201.14m^2
Area of square is side ^2
12 ×12
= 144m^2
hence 201.14 - 144
= 57.14m^2 is the area of shaded figure
GOOD LUCK FOR THE FUTURE! :)
Judy uses 12 tiles to make a mosaic. 8 of the tiles are blue. what fraction ,in simplest form, represents the tiles that are blue
Ariel sold bags of gourmet popcorn for the school fundraiser. She sold 30 bags in two weeks, raising $112.50 for the school. How much did a bag of gourmet popcorn cost?
Answer:
3.75 dollars
Step-by-step explanation:
If 30 bags of popcorn = 112.50
Then what would one bag equal?
First start off by putting money/bags
[tex]\frac{112.50}{30}[/tex]
Then solve.
112.50/30 = 3.75
Your answer is 3.75.
Hope this is correct, and hope it helps ^_^
Answer:
$3.75 per bag
Step-by-step explanation:
Put the total cost (112.50) and divide it by how many she sold (30) to get your answer. hope this helped
Write the equation for the line that passes through (2, -4) and is
perpendicular to the line to x - 4y = 7.
Answer: y= x-2
Step-by-step explanation:
Perpendicularity entails the slope of line a is -1 divided by the slope of line b
m1= (-1/m2)
From y=Mx +c
We compare with x-4y=7
y=(1/4)x-7/4
Meaning m2= 1/4
m1= -1/(1/4)= -1*4= -4
((y-y1)/(x-x1))= ((y2-y1)/(x2-x1))=m1
x1= 2, y1= -4
((y-(-4))/(x-2))= -4
((y+4)/(x-2))= -4
Cross multiply
y+4= -4(x-2)
y= x-2
ill give brainliest if its correct
Answer:
3 pieces
Step-by-step explanation:
Given: Figure
To find: Number of 8.5 in. × 11 in. pieces used to cover the floors of a room and a hallway in her dollhouse
Solution:
In the given figure, AC = 22 in.
AB + BC = 22 in.
AB + EF = 22 (As BC = EF being opposite sides of rectangle)
AB + 10 = 22
AB = 22 - 10 = 12 in.
Area of rectangle ABGH = AB × AH = 12 × 5 = 60 square inches
(area of rectangle = length × breadth )
CE = CD + DE = AH + GF (As CD = AH and DE = GF)
CE = 5 + 15 = 20 inches
Area of rectangle BCEF = BC × CE = 10 × 20 = 200 square inches
(BC = EF = 10 in.)
Total area of the figure = Area of rectangle ABGH + Area of rectangle BCEF = 60 + 200 = 260 square inches
Area of pieces of felt = 8.5 × 11
So,
Number of pieces required = Total area of the figure / Area of pieces of felt = 3 pieces
8v+5=1
v=_
pls help!!!
x<5.001
is 5 the solution for X?
explain why please
Answer: 5 could be a solution to x because 5 is less than 5.001
Step-by-step explanation:
Answer:
i do not know
Step-by-step explanation:
What's the greatest ten you can multiply by 8 to get close to, but not go over 629
Answer:
i guss 8× 77 = 524 which is close to it
Answer: 8 x 70 = 560
POINTS POINTS PLEASE HELP POUNTS WILL BE GIVEN
Answer:
option 3 / hope this helps
Step-by-step explanation:
i did this test a while ago so if its wrong im sorry
Answer:
[tex] m\angle A = 40\degree[/tex]
Step-by-step explanation:
[tex]m\angle A = \frac{1}{2} (115 \degree - 35 \degree) \\ \\ m\angle A = \frac{1}{2} \times 80\degree \\ \\ m\angle A = 40\degree \\ \\ [/tex]
Yall, is this correct? And sorry for my bad handwriting for the answer btw-
A company sets up a food booth and a game booth at the county fair.
The fee for the food booth is $100 plus $5 per day.
The fee for the game booth is $50 plus $7 per day.
Write an expression for how much both booths will cost for the same number of days.
Answer:
100+5x+50+7x
Step-by-step explanation:
Use the equation below to find y, if m=11, x=2, and b=5.
y=mx-b
Y=
agree or desagree? short question'
Answer:agree.
Step-by-step explanation:
You drive a car that holds 15 gallons of gasoline. Your car uses 0.03 gal per mile. Which equation best represents this information
A 8-kg load stretches an elastic belt 0.02 m. How much will a 12-kg load stretch the belt?
Answer:
A 12-kg load stretches an elastic the belt 0.03m
Step-by-step explanation:
we know A 8-kg load stretches an elastic belt 0.02 m.
=> 0.02 / 8 = 0.0025
so A 1-kg load can stretch an elastic belt 0.02 m.
=> 12 * 0.0025 = 0.03 m
A 12-kg load stretches an elastic the belt 0.03m
what is the value of x?
Answer:
68
Step-by-step explanation:
c=√a^2+b^2
√ 60^2 + 32^2 =68
We will use the Pythagorean Theorem
[tex]x {}^{2} = {32}^{2} + {60}^{2} \\ {x}^{2} = 1024 + 3600 \\ x {}^{2} = 4624 \\ x = \sqrt{4624} \\ x = 68[/tex]
Which equation can be used to solve for 2 in the following diagram?
7xº
11x°
Answer:
7x + 11x = 90
Step-by-step explanation:
Khan academy
7. The dominant trait for being tall is (A). The recessive trait for being short is (a). Based on the Punnett square what percentage of offspring will be short?
100%
75%
50%
25%
Answer:
50%
Step-by-step explanation: