Answer: easy
Step-by-step explanation: 0.25 there
Question 24 Multiple Choice Worth 1 points)
(8.01 MC)
Two lines, A and B, are represented by equations given below:
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
0 (-3,-5), because the point satisfies one of the equations
0 (-3,-5), because the point lies between the two axes
(-4,-8), because the point satisfies both equations
(-4, -8), because the point does not lie on any axis
Given:
The system of equations is:
Line A: [tex]y=x-4[/tex]
Line B: [tex]y=3x+4[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]y=x-4[/tex] ...(i)
[tex]y=3x+4[/tex] ...(ii)
Equating (i) and (ii), we get
[tex]x-4=3x+4[/tex]
[tex]-4-4=3x-x[/tex]
[tex]-8=2x[/tex]
Divide both sides by 2.
[tex]-4=x[/tex]
Substituting [tex]x=-4[/tex] in (i), we get
[tex]y=-4-4[/tex]
[tex]y=-8[/tex]
The solution of system of equations is (-4,-8).
Now verify the solution by substituting [tex]x=-4, y=-8[/tex] in the given equations.
[tex]-8=-4-4[/tex]
[tex]-8=-8[/tex]
This statement is true.
Similarly,
[tex]-8=3(-4)+4[/tex]
[tex]-8=-12+4[/tex]
[tex]-8=-8[/tex]
This statement is also true.
Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.
Find the value of x in the isosceles triangle shown below.
Answer:
x = [tex]\sqrt{26}[/tex]
Step-by-step explanation:
using pythagoras theorem
here [tex]\sqrt{13}[/tex] and [tex]\sqrt{13}[/tex] are the legs of the right angled triangle and x is hypotenuse.
a^2 + b^2 = c^2
[tex](\sqrt{ 13 })^2 + (\sqrt{13})^2 = x^2[/tex]
13 + 13 = x^2
26 = x^2
[tex]\sqrt{26}[/tex] = x
Answer:
answer would be c
Step-by-step explanation:
hope this helps
Find the surface area and the volume of the figure
Round to the nearest tenth if needed.
Answer:
See belowStep-by-step explanation:
Surface area:
S = 2(lw + lh + wh) + 2πrhS = 2(9*4 + 9*5 + 4*5) + 2*3.14*2*3 = 239.7 cm² (rounded)Volume:
V = lwh + πr²hV = 9*4*5 + 3.14*2²*3 = 217.7 cm³ (rounded)Answer:
> V = 217.68 cm³
> S = 227.14 cm²
Step-by-step explanation:
We are required to find the surface area and the volume of the given figure . This question is from Combination of solids . As we can see that this figure is made up of a cuboid and cylinder.
Firstly let's find out the volume .
> V = V_( cuboid) + V_(cylinder)
> V = 9cm × 4cm × 5cm + π × ( 2cm)²× 3cm
> V = 180 cm³ + 3.14 × 4cm² × 3cm
> V = 180 cm³ + 37.68 cm³
> V = 217.68 cm³
Lets find the surface area :-
> S = S_( cuboid) + S_( cylinder) - πr²
> S = 2( 9×4 + 4× 5 + 5×9) cm² + 2×π×2cm × 3cm - 3.14 × (2cm)²
> S = 239.7 cm² - 12.56 cm²
> S = 227.14 cm²
Note :-
Here we subtracted πr² from the total surface area of cuboid and cylinder because that much area of the cuboid was covered by the base of the cylinder .if i made 11$ an hour working at publix how much would i have in 4 year's?
i need to know because me and my friend plan to work at publix as soon as we turn 14 and in 4 year's when we turn 18 we want to have enough to move into an apartment/house right away
Answer:
40*52*11*4 = $91,520
But I am skeptical that you would earn dollars where you would be working... I assume that you do not work in the is because 11 dollars per hour is written at $11/hr not 11$ /hr, thus I assume that you do not live anywhere that pays in U.S. dollars.
Step-by-step explanation:
Answer: $385440 if you work non stop, for every hour of those 4 years
Step-by-step explanation: 24 hours in a day, 24*365=8760
8760*4=35040 total hours.
Now if we multiply that by 11, because you get 11 dollars an hour,
35040*11= $385440 in total
But that's not counting items you may buy, and it also assumes you work every hour of every day. If you want a more realistic amount, you're gonna have to specify the hours that you work.
PLEASE HELP Given the function [tex]f(x)=\sqrt{3x+3+2}[/tex]
Answer:
98.97
Step-by-step explanation:
I used my notes on page 34
can someone help me please
Answer:
8. B
9. B
Step-by-step explanation:
add all sides to get perimeter
multiply sections of the area to get area (length times width)
mow much would 600$ invested at 8% interest compounded continuously be worth after 3 years?
jose bought "n" packs of pencils. Each pack has 12 pencils. Write an equation to represent the total number of pencils "p" that josé bought.
Answer:
nx12=p
Step-by-step explanation:
So every pack has 12 pencils. You multiply the packs of pencils that José bought with how much pencils per pack. Since José bought "n" packs of pencils, the equation is nx12. But the answer is also unknown since we don't know how much packs José bought, so the answer is "p", or the total number of pencils José bought.
what is the equation of a line that is perpendicular to y=1/2x+1 and passes through the point of (8,0)?
Answer:
D. y= -2x+16
Step-by-step explanation:
the slope = -1÷½ = -2
the equation :
y-0= -2(x-8)
y = -2x+16
12-2²·2=?
Brainliest
Answer:
it would be 4
12-4×2=12-8=4
Step-by-step explanation:
hope it helps you
[tex]\longrightarrow{\green{ 4 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
➺ [tex] \: 12 - {2}^{2} .2[/tex]
➺ [tex] \: 12 - (2 \times 2 \times 2)[/tex]
➺ [tex] \: 12 - 8[/tex]
➺ [tex] \: 4[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Which of the following uses set builder notation to denote the set of all (real) multiplicative inverses?
Answer Choices In Picture
Answer:
First Option
Step-by-step explanation:
Which fraction equals the ratio of rise to run between the points (0, 0) and (6, 7)? A. B. C. D.
Answer:
7 / 6
Step-by-step explanation:
Given the points:
points (0, 0) and (6, 7)
Point 1 : x1 = 0 ; y1 = 0
Point 2 : x2 = 6 ; y2 = 7
The rise = y2 - y1 = 7 - 0 = 7
The run = x2 - x1 = 6 - 0 = 6
Ratio of Rise to Run = Rise / Run = 7 / 6
Please help me ASAP
Answer:
4. =3 ft
5. 2/1.25 lb
Answer:
4) 3 ft = 36in ⇔ [tex]\frac{36in}{12in}[/tex] = 3 inches
5) 2 lb = 32 oz ⇔ [tex]\frac{32oz}{20oz}[/tex] = 1.6 oz
Please help me ASAP
Answer:
no
Step-by-step explanation:
no
In the cafeteria tables are arranged in groups of 4, with each table seating 8 students. How many students can sit at 10 groups of tables?
What additional information is needed to prove the triangles are congruent by HL?
Answer:
bce is 90
Step-by-step explanation:
Simplify the following expressions without using calculator 8/(2sqrt(6) + 3) - 4/(2sqrt(6) -3)
Step-by-step explanation:
[tex] \tt \longrightarrow \dfrac{8}{2 \sqrt{6} + 3 } - \dfrac{4}{2 \sqrt{6} - 3 } \\ \\ \tt \longrightarrow \dfrac{8(2 \sqrt{6} - 3) - 4(2 \sqrt{6} + 3)}{(2 \sqrt{6} + 3)(2 \sqrt{6} - 3 ) } \\ \\ \tt \longrightarrow \dfrac{16\sqrt{6} - 24 - 8 \sqrt{6} - 12}{(2 \sqrt{6} ) {}^{2} - (3) {}^{2} } \\ \\ \tt \longrightarrow \dfrac{8\sqrt{6} - 36}{24 - 9 } \\ \\ \tt \green{\longrightarrow \dfrac{8\sqrt{6} - 36}{15 }} [/tex]
John measured two pieces of string. One piece measured 7/12 m and the other measured 4/7 m.
Select the true statement about the lengths of John's string.
1) 7/12= 0.58, 4/7= 0.57
they are about 1/2
2) 7/12 + 4/7 = 97/84= 1.15 approximately 1
which is 1m from the option
is this correct please help!
Answer:
Almost...
The correct answer would be
To find the area of the base, multiply 15 times 16 then divide by 2
Then multiply by 19 to find the volume of the shape
Step-by-step explanation:
The base is a triangle
The area of a triangle = base length times height divided by 2
The triangle has a base length of 16 and a height of 15
So to find the area of the base we multiply 15 times 16 and divide that by 2
The volume of a prism is equal to the area of the base times the length of the prism
The length of the prism is 19 so we would then multiply by 19
During a sale, a store offered a 20% discount on a stereo system that originally sold for $320. After the sale, the discounted price of the stereo system was marked up by 20%.
Answer:
354 $ is correct
Step-by-step explanation:
your v id dead
Can you guys help me pleaseeeee!
Answer: A) True
Step-by-step explanation:
GF and KJ are marked with one dash indicating the are congruent. Same for FH and JL but this time it's marked with 2 dashes. Angles F and J are congruent because they are both right angles. So, we have a side congruent an angle congruent and a side congruent. We can use SAS to say they are congruent.
(Brainliest?)
what is the value of the expression below?
Answer:
C
Step-by-step explanation:
Using the rule of exponents/ radicals
[tex]a^{\frac{1}{2} }[/tex] = [tex]\sqrt{a}[/tex] , then
[tex]121^{\frac{1}{2} }[/tex] = [tex]\sqrt{121}[/tex] = 11 → C
Help
Will
Give
BRIANLIST
Answer
Center is (2,-2) another point on the circle is (-4,6) An equation of the circle in standard form is what?
Answer:
(x - 2)^2 + (y + 2)^2 = 100
Step-by-step explanation:
We know that the equation for a circle with a center in the point (a, b) and a radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
Here we know that the center of the circle is the point (2, - 2) and that the point (-4, 6) lies on the circle.
Then the radius of this circle will be the distance between (2, - 2) and (-4, 6)
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Then the distance between (2, - 2) and (-4, 6) is:
[tex]D = \sqrt{(2 - (-4))^2 + (-2 - 6)^2} = \sqrt{6^2 + (-8)^2} = \sqrt{100} = 10[/tex]
Then the radius of the circle is R = 10
and we know that the center is (2, -2)
the equation for this circle is then:
(x - 2)^2 + (y - (-2))^2 = 10^2
(x - 2)^2 + (y + 2)^2 = 100
Find the direct variation equation
Answers:
The direct variation equation is y = 5xIf x = 4, then y = 20=================================================
Explanation:
Let's say that the letter k replaces the green box
We have the equation y = kx
Plug in (x,y) = (7,35) to get the equation 35 = k*7
Dividing both sides by 7 leads to k = 5
Therefore, the direct variation equation is y = 5x
We can check this by plugging in x = 7
y = 5x
y = 5*7
y = 35
So x = 7 leads to y = 35 as expected.
-------------
Do the same for x = 4
y = 5x
y = 5*4
y = 20 when x = 4
Side note: direct variation equations always go through the origin.
Answer:
20
Step-by-step explanation:
if y varies directly with x, then it takes the form y=mx
to find m, substitute in the values of x and y to get 35=m*7 and simplify to get that m=5
then the equation becomes y=5x
substitute in the value they gave for x which is 4 to get y=5*4
to get that y=20
Tasha is planning an expansion of a square flower garden in a city park. If both the length and the width of the original garden are each increased by *3m*, the new total area of the garden will be *49* squared meters. Find the length of each side of the original garden.
Answer:
4 m
Step-by-step explanation:
Since the flower garden is square :
Both length and width are equal :
Let :
Original side length = x
Increased length = x + 3
Area of square = s² (s = side length)
New area = 49 m²
That is ;
(x + 3)² = 49
Original length, x can be calculated thus ;
Take square root of both sides
x + 3 = √49
x + 3 = 7
x = 7 - 3
x = 4
Hence, original length of each side = 4 m
NEED HELP
Determine the range of the following graph:
12
11
10
9
8
7
6
5
4
3
1
-12-11-10-9-8 -7 -6 -5 -4 -3 -2 -1
x
1 2 3 4 5 6 7 8 9 10 11 12
-1
Á
ܗ ܗ ܠ ܚ ܐ ܝܕ ܤܝܚܢܝ ܘܿ ܠܗܿ ܩܵ ܪ ܨܲܪ ܂
-7
-8
-9
-10
-11
-12
Answer:
Range: [-7, 8]
General Formulas and Concepts:
Algebra I
Reading a coordinate planeRange is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion, (Parenthesis) denote exclusionStep-by-step explanation:
According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:
Range: [-7, 8]
Some plz help meeeeeeeeeeereee I really neeeeeeeeeddddddddd ittttttttttt
PLZ HELP WILL GIVE BRAINLY IF RIGHT!!!
-2(x-4)=4x+2x+8
Answer:
x = 0
Step-by-step explanation:
-2(x-4)=4x+2x+8
Distribute
-2x +8 =4x+2x+8
Combine like terms
-2x+8 =6x+8
Add 2x to each side
-2x+2x+8 =6x+2x+8
8 = 8x+8
Subtract 8 from each side
8-8 = 8x+8-8
0 = 8x
Divide by 8
0=x
Answer:
x = 0
Step-by-step explanation:
-2(x-4) = 4x+2x+8
-2x+8 = 6x+8
8-8 = 6x+2x
0 = 8x
x = 0
Hope this will help and if so, then please mark me as brainliest.
What are the solutions of X^2-8+16=11
Answer:
x = ±√3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsSolving quadraticsStep-by-step explanation:
Step 1: Define
Identify
x² - 8 + 16 = 11
Step 2: Solve for x
Combine like terms: x² + 8 = 11[Subtraction Property of Equality] Subtract 8 on both sides: x² = 3[Equality Property] Square root both sides: x = ±√3