Answer:
(0, - 3 ) and (- 1, - 5 )
Step-by-step explanation:
Given the 2 equations
y = 4x² + 6x - 3 → (1)
y = 2x - 3 → (2)
Substitute y = 4x² + 6x - 3 into (2)
4x² + 6x - 3 = 2x - 3 ( subtract 2x - 3 from both sides )
4x² + 4x = 0 ← factor out 4x from each term
4x(x + 1) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )
x = - 1 : y = 2(- 1) - 3 = - 2 - 3 = - 5 ⇒ (- 1, - 5 )
[tex]find \: the \: area \: of \: cylinder \: \\ \\ height \: = 4cm \\ \\ base \: radius \: = 6cm \\ \\ [/tex]
Answer:
Curved Surface Area = 48π cm² (≈ 150.72 cm²)
Total Surface Area = 120π cm² (≈ 376.8 cm²)
Step-by-step explanation:
GIVEN :-
Height of cylinder = 4 cmBase radius = 6 cmTO FIND :-
Area of cylinderGENERAL FORMULAES TO BE USED IN THIS QUESTION :-
Curved Surface Area of cylinder = 2πrh
Total surface Area of cylinder = 2πrh + 2πr² = 2πr(h + r)
SOLUTION :-
Curved Surface Area of cylinder = 2×π×6×4 = 48π cm² ≈ 150.72 cm²
Total Surface Area of cylinder = 2×π×6(4 + 6) = 120π cm² ≈ 376.8 cm²
3(n+4)=21 what does n =?
Answer:
3.
Step-by-step explanation:
3(n + 4) = 21
3n + 12 = 21
3n = 21 - 12 = 9
n = 3.
Answer:
n = 3
Step-by-step explanation:
Given
3(n + 4) = 21 ( divide both sides by 3 )
n + 4 = 7 ( subtract 4 from both sides )
n = 3
Volumes and circles
Determine the amount of space ( volume) he’s allowed for the potted plant in the bottom of the greenhouse who shape is a rectangle or prism. ❤️
Answer:
A. Volume is 2400 feet^3
B. 1413.7 feet ^3
C. 3814 feet^3
Step-by-step explanation:
given = a rectangular prism having l=8 feet w=12 feet h=25 feet
to find volume
v = l * w * h
v = 8x12x25
v = 2400 feet^3
What is the equivalent expression for —0.5(t-6)
Answer:
−0.5t+3
Step-by-step explanation:
20 POINTS!!!
Calculate the volume of the right triangular prism shown below.
Answer:
630cm³
The volume of the right triangular prism is 630cm³.
Which expression is equivalent to 8r+16
Answer:
8(r+2)
hope this helps
have a good day :)
Step-by-step explanation:
Someone please help me out!
Answer:
It is 3
Step-by-step explanation:
Max = how high it will go at most
Min. = how low it will go at most
Circumference:
Circumference:
LEARNING TASK 4. Solve the given problems
PROBLEM I. Veldora walked around the circular pool. The circular pool
has a diameter of 3 meters. What is the distance that Veldora has
walked?
Step 1 - Read and understand
What is asked in the problem?
What do you know of the problem?
Step 2 - Plan
What must be done to solve the problem?
Step 3 - Solve and answer
Carry out the plan & write the final answer.
Step 4 - Check
Is the answer correct?
PROBLEM 2. How much greater is the circumference of the circle with a
diameter of 12m than another circle with a radius of 5m?
Step 1 - Read and understand
What is asked in the problem?
What do you know of the problem?
Step 2 - Plan
What must be done to solve the problem?
Step 3 - Solve and answer
Carry out the plan & write the final answer
Step 4 - Check
Is the answer correct?
ob diffront
help po plsss
Answer:
9.42 m
6.28m
Step-by-step explanation:
to determine the distance walked, calculate the circumference of the circular pool
circumference of a circle = πD
π = 3.14
D = diameter
3 x 3.14 = 9.42 m
Difference in circumference = π( diameter of bigger circle - diameter of smaller circle)
diameter of smaller circle = 5 x 2 = 10
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
3.14 x ( 12 - 10) = 6.28
15 points
Solve the following System of Equations:
3x + 5y = 9
x - y = -5
Which of the following steps are correct for the solution?
SELECT ALL THAT APPLY.
(Select all that apply)
He multiplies the second equation by 5 and adds it to the first
equation to obtain 5x-5y= 10 after adding the 2 equations
He multiplies the second equation by -3 to eliminate the x
variable
He multiplies the second equation by -3 and adds it to the first
equation to obtain 8y = 24
The solution to the system is (-23)
The y-value for the solution is -3
[tex]_____________________________________[/tex]
ANSWER:[tex]\tt\large{y=\frac{9}{2}}[/tex]
[tex]\tt\large{x=-5+y}[/tex]
[tex]_____________________________________[/tex]
꧁____YunaKoharuChan____꧂NEED HELP ASAP PLEASE!!!!A symmetrical canyon is 4850 feet deep. A River runs through the canyon at its deepest point. the angle of depression from each side of the canyon to the river is 60. Round to the nearest tenth. Whats the Distance across the canyon? whats the Length of the canyon wall from the edge to the river? Is it more or less than a mile across the canyon?
Answer:
what is the formulae for finding a circle
-|3+2x|+1 [tex]\leq[/tex] -2
Answer:
x ≤ -3 ∨ x ≥ 0
Step-by-step explanation:
3+ 2x ≥ 0
2x ≥ -3
x ≥ -3/2
if x ≥ -3/2
-2x - 3 + 1 ≤ -2
-2x ≤ 0
x ≥ 0
if x ≤ -3/2
2x + 3 + 1 ≤ -2
2x ≤ -6
x ≤ -3
x ≤ -3 ∨ x ≥ 0
Which of the following triangle lengths form right triangles? Select all that apply
11.13)
(10,24, 26)
(12.16, 20)
(12.35 37)
(13.15, 19)
Answer:
well in order to make a trangle they mus add up to be greater than a side sooo i guess thats right so..... idek theres calculators online and stuff like that and you can also go on line and search woill this make a triangle calcs and theyll let you p0ut meaasurements and stuff like that to model them for you
Step-by-step explanation:
Answer:
B C D
Step-by-step explanation:
just took the quiz edge 2021
Can someone please help
Answer:
Step-by-step explanation:
What do u need help with???
Answer:
-10
Step-by-step explanation:
2(x + 10) = -60 solve for x
Answer:
2x + 20 = -60
-20 -20
2x = -80
Divide by 2 on both sides.
X = -40
Answer:
-40
Step-by-step explanation:
2(x + 10) = -60
step 1 distribute the 2 to the x and 10
2 * x = 2x
2 * 10 = 20
we now have 20 + 2x = -60
step 2 subtract 20 from each side
20 - 20 cancels out
-60 - 20 = -80
we now have 2x = -80
step 3 divide each side by 2
2x / 2 = x
-80 / 2 = -40
we're left with x = -40
Solve the equation by using the quadratic formula 15x^2+31x=-10
Answer:
C.) -2/5, -5/3
Step-by-step explanation:
Edge. :)
Write each binomial square as trinomial [tex](x-1)^2[/tex]
Help me with this math problem please!
Answer:
1. 1.5 inches
2. 1 inch
3. 1.75 inches
4. 1.25 inches
5. 2 inches
Step-by-step explanation:
im guessing that you're asking what each place is.
A corporate team-building event costs $2 for every attendee. Write an equation that shows the relationship between the attendees x and the cost y.
Write your answer as an equation with y first, followed by an equals sign.
Answer:
y = 2x
Step-by-step explanation:
x represents the amount of attendees. y is the total amount of money they get.
-6400,-4800,-3600,-2700
What does this mean <_ but the line under it
Answer:
it means less than or equal to :)
Step-by-step explanation:
Erika's first and second quarter grades are shown below. What grade does she need in
math in order to have an overall average equivalent to the first quarter? Write your answer
in the box.
Answer:
She would need an 83 in math if she wants to have an overall average equivalent to the first quarter . Tell me if im wrong
Step-by-step explanation:
At the Galapagos Islands, Dr. Owen finds 102 giant tortoise eggs that he brings back to his research center to be hatched in safety. At the research center, six of the eggs hatch, and the hatchlings are placed in a nursery. Dr. Owen places equal but unknown numbers of the remaining eggs in eight different labs.
Which of the following equations best represents this situation?
Question 5 options:
8x-6=102
102x=8-6
6x+8=102
8x=102-6
Answer:
8x-6=102
Step-by-step explanation:
8x the remaining eggs in 8 different labs and the 6 that are placed in the lab and the total is 102 so 8x-6=102
X^2-x-42=
factor as the product of two binomials
(5r+6)° (8r+5)°=180
I need help with this!!!!
Answer:
r = 1.22821395 … , − 3.05321395 …
Step-by-step explanation:
Solve the equation for r
by finding a , b , and c of the quadratic then applying the quadratic formula. Exact Form: r = − 73 − √ 29329 80 , − 73 + √ 29329 80
Decimal Form: r = 1.22821395 … , − 3.05321395 …
Have a nice day, and I hope this helps!
-kiniwih426
Solve for x. Round to the nearest tenth.
Answer:
22.8
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\20^{2} +11^{2} =x^{2} \\400+121=x^{2}\\\sqrt{521} =x\\\\or\\\\22.8 = x[/tex]
**PIC INCLUDED**
What is the total payment
required to pay off a promissory
note issued for $500.00 at 10%
ordinary interest and a 180-day
term?
Answer:
the total payment need to pay is $525
Step-by-step explanation:
Given that
The amount at promissory note issued is $500
The rate of interest is 10%
And, the time period is 180 days
So, the total payment included is
= $500 + ($500 × 10% × 180 days ÷ 360 days)
= $500 + $25
= $525
hence, the total payment need to pay is $525
please simplify
4(57ab)⁰
no links, answer quickly,please
Answer:
4
Step-by-step explanation:
Using the rule of exponents
[tex]a^{0}[/tex] = 1
Then
4[tex](57ab)^{0}[/tex] = 1 and
4[tex](57ab)^{0}[/tex] = 4 × 1 = 4
Answer:
4
Step-by-step explanation:
since 57ab has power 0 it is equal to 1
1×4 is 4
Find (a) the circumference and (b) the area of the circle. Use $3.14$ or $\frac{22}{7}$
for $\pi$ . Round your answer to the nearest whole number, if necessary.
PLEASE HELP ASAP
A circle with a diameter of 70 inches.
(a) circumference: about
in.
(b) area: about
in.²
Answer:
C = pi d
C = 3.14 × 70
C = 219.8 inches
A = pi r²
A = 3.14 × 1,225
A = 3,846.5
what’s the volume ??
no links
Question:
What’s the volume ?
Answer:
Volume: 8663.2
Area : 392
Step-by-step explanation:
The formula for volume is length times width times height (L x W x H)
So
28 x 28 = 784 x 22.1 = 17326.4 (Crazy right) But this is not the answer. A triangle is half of a Square so we divde by 2
17326.4 / 2 = 8663.2
The Volume is 8663.2
And if you are looking for the Area it's 392
If x varies directly as y and x = 74 when y = 10, find x when y = 4.
Answer:
The value of x is 21 .
Step-by-step explanation:
We are given that x varies directly as y
--- A
We are given that x = 7 and y = 28
Substitute the values in A
7 = 28k
Now equations becomes :
y = 84
Hence The value of x is 21 .
#Learn more:
Find the value of y for a given value of x, if y varies directly with x.
If y = −252 when x = 84, what is y when x = 74
Step-by-step explanation: