Step-by-step explanation:
We can set up an equation for this line using slope intercept form:
[tex]y = mx + b[/tex]
Where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept (where the line cross the Y-axis at [tex]x = 0[/tex]).
We know that the slope of the line is [tex]-4[/tex] so we can plug that in for [tex]m[/tex], but we don't know [tex]b[/tex], so we'll have to use the given point [tex])(-6, -10)[/tex] to help solve for it:
[tex]y = -4x + b[/tex]
[tex]-10 = -4(-6) + b[/tex]
[tex]-10 = 24 + b[/tex]
[tex]b = -34[/tex]
This means the equation of the line is [tex]y = -4x - 34[/tex]. Now we can plug in the point [tex](-9, s)[/tex] and solve for [tex]s[/tex]:
[tex]y = -4x - 34[/tex]
[tex]s = -4(-9) - 34[/tex]
[tex]s = 36 - 34[/tex]
[tex]s = 2[/tex]
The triangle shown above are similar. Write ratios of corresponding side lengths in a statement of proportionality. The images are not drawn to scale.
A. AB/YZ=BC/ZX=CA/XY
B. AB/ZX=BC/XY=CA/YZ
C. AB/XY=BC/YZ=CA/ZX
D. AB/ZX=BC/YZ=CA=XZ
Answer:
B
Step-by-step explanation:
i took the test
Please help, my assignment is due today in an hour.
Answer:
1a, 2b, 3d, 4a, 5c, 6b, 7a, 8b, 9c, 10d, 11d, 12a, 13c, 14b, 15a, 16b
Step-by-step explanation:
Given. That 2x+1=32, find the value of x
Answer:
x=15.5
Step-by-step explanation:
2x+1=32
2x=32-1
2x=31
x=15.5
Answer:
x = [tex]\frac{31}{2}[/tex]
Step-by-step explanation:
Given
2x + 1 = 32 ( subtract 1 from both sides )
2x = 31 ( divide both sides by 2 )
x = [tex]\frac{31}{2}[/tex]
The possibility of a power outage seems to grow every year because of demand and aging infrastructure. What can/should companies do to mitigate this risk?
What 1+1 help i'll give 15 points
Answer:
11
Step-by-step explanation:
am so smart
Which triangles are similar?
Answer:
B. triangles A and C
Step-by-step explanation:
they're all right triangles but triangles A and C hAve all the same angles so they're the MOST similar
hope this helps <3
A square-based rectangular aquarium is filled with water. The side length of the
base is 40 cm. The height of the aquarium is 50 cm. The height of the water is
equal to half the height of the aquarium. A solid cube with side length 20 cm is
then thrown into the aquarium and sinks to the bottom.
Does the water level now reach the top of the tank? If not, how far below the top
of the tank does the water reach?
Answer:
From bottom = 30 cm
Below top = 20 cm
Step-by-step explanation:
Length & breadth of the aquarium = 40cm(as it is square)
Volume of aquarium = l x b x h
volume of aquarium = 40 x 40 x 50 = 80000 cm³
Volume of water = ½ half of aquarium
Volume of water = ½ x 80000 = 40000 cm³
Volume of the solid cube = a³ = (20cm)³ = 8000cm³
Surely, 40000>>>8000, level doesnt reach the top of the tank.
Volume acquired = 40000+8000=48000 cm³
Now, let it has reached reached a height h from the ground(bottom).
Volume = 48000 => lx b x h = 48000
=> 40 x 40 x h = 48000
=> h = 30 cm
The height at which water has reached is 30 cm(from bottom).
Thus, below the top it has reached = total height - 30 cm = 50 - 30 = 20 cm
6. Sales associates at a local clothing
store earn a 2% commission on the
clothes they sell. If an associate earned
$50 in commission, what was the value
of her sales? Explain how you can
check your answer.
Answer quick PLZZ
Answer:
ask the internet this question sorry not being rude its becausd no ones answered it
A laptop has a listed price of $801.98 before tax. If the sales tax rate is 8.5%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer 870.15
Step-by-step explanation:
x - (2x + 1) = 8 - (3x + 2)
Answer:
x=7/2
Step-by-step explanation:
Answer:
x=7/2
Step-by-step explanation:
x-(2x+1)=8-(3x+2)
x-2x-1=8-3x-2
-x-1=6-3x
+x on both sides
-1=6-2x
-6 on both sides
-7=-2x
7=2x
÷2 on both sides
7/2=x
Hope this helps =]
For what value of b will f(x)= x^2 + bx + 900 have -30 as its only zero? PLEASE HELP!!
Answer:
60
Step-by-step explanation:
If -30 is its only zero, than the factors are (x+30)(x+30) = [tex]x^2 + 60x + 900[/tex]
Than b = 60
The value of b of the function f (x) would be,
⇒ b = 60
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ f (x) = x² + bx + 900
And, -30 as its only zero.
Now, The value of zero of function is satisfy the function as;
⇒ f (- 30) = 0
⇒ (- 30)² + (- 30)b + 900 = 0
⇒ 900 - 30b + 900 = 0
⇒ 1,800 = 30b
⇒ b = 60
Thus, The value of b of the function f (x) would be,
⇒ b = 60
Learn more about the function visit:
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What is the area of the triangle?
13
12
Units 2
Help me
Answer:
30
Step-by-step explanation:
i believe that the 13 is there to throw you off. anyway to solve just do 5•12=60
60÷2=30 so 30 is area of triangle
area of triangle =1/2×base×height
area of triangle=1/2×12×5
area of triangle=30 unit²
Find the area of the triangle.
Answer:
29.394 square feet.
Step-by-step explanation:
There is no explanation for this answer.
Answer:
30 ft
Step-by-step explanation:
10 x 6 = 60
60 ÷ 2 = 30
formula : base x height ÷ 2
A cube root function has a turning point located at (-2,3). Write an equation that could represent this function
Answer:
f(x) = A*∛(x + 2) + 3
Step-by-step explanation:
Suppose a generic cube as:
f(x) = A*∛(x - b) + C
We will have a turning point at the x value:
x = b
Then if we have a turning point at (-2, 3)
This means that the turning point is at x = -2 and y = 3
Then b = -2
And our cube root function will be something like:
f(x) = A*∛(x - (-2)) + C
f(x) = A*∛(x + 2) + C
And we know that f(-2) = 3
then:
f(-2) = A*∛(-2 + 2) + C = 3
f(-2) = A*∛(0) + C = 3
= C = 3
Then the general equation will be something like:
f(x) = A*∛(x + 2) + 3
The digits of this year, 2000 A.D., add up to 2. In how many other years since 1 A.D. has this happened?
Answer:
0002 0011 1010
0020 0101
0200 1001
2000 1100
9 times
Step-by-step explanation:
9 times is the right answer
Which correctly describes how the graph of the inequality 5x + 2y = 13 is shaded?
Answer:
The answer is above the solid line.
Step-by-step explanation:
The distance around the world at the equator is about 42,000
A.meters
B.kilometers
C.centimeters
D. millimeters
Help pls ? What kind of exponent does this graph have !
Answer:
I think the answer is odd. I am not sure because I don't know this topic really well.
Step-by-step explanation:
The selling price of an item is $520. It is marked down by 10%, but this sale price is still marked up from the cost of 360$. Find the markup from cost to sale price.
Answer:
30%
Step-by-step explanation:
Answer: good luck
Step-by-step explanation:
A bank determines the amount a borrower owes using the formula A=p ( 1+r)t where A is the total amount owed p is the amount borrowed r is the percent interest rate expressed as a decimal, and t is the number of years. To the nearest dollar, what is the total amount of money that would be owed if $150,000 at 6% for 15 years
Answer:
$679,857.92
Step-by-step explanation:
The computation of the total amount of money would be owed is shown below
A = P × (1 + r)^t
where
A represents the total money owed
P represent the borrowed amount
r represent the rate of interest
t represents the time period
So,
= $150,000 × (1 + 0.06)^15
= $150,000 × 1.06^15
= $679,857.92
Keisha's Solution
David’s Solution
Whose procedure is correct?
Answer:
both are correct
Step-by-step explanation:
the 4th raw of the keisha's one same to first raw of david's.david's one is simple & keisha's isn't
38% of 60 is?
NEED HELP
Answer:
Step-by-step explanation:
38% of 60 = [tex]\frac{38}{100}*60 = 0.38*60 = 22.8[/tex]
Answer:
Step-by-step explanation:
38% * 60
[tex]\frac{38}{100} * 60\\\\\frac{38}{5} * 3\\\\114/5 = 22.8[/tex]
What value of x makes this equation true? 12x−15=6−3x A.73 B.37 C.57 D.75
Answer:
7/3
Step-by-step explanation:7/3
Need help with this question real quick
2b + 7g - 5b - 8g
Need all the steps as well
Answer:
Step-by-step explanation:
Alexandria has $50 that their parents gave them to go to a soccer game with. The game cost $22 to get in, how much more money can they spend?
I think I understand what you mean. If Alex got $50 and already spent 22 to get into the actual game, then they would have $28 after getting into the actual game.
So $28 dollars.
(Hope that's what you meant.)
Take the function f(x)= square root of x+5 (then outside of square root) +1
And:
1. Reflect it along the x axis
2. translate it 4 units left
3. Translate it 3 units dow
What would be this functions NEW equation?
[tex]f(x) = - \sqrt{x + 5 + 4} + 1 - 3[/tex]
[tex]f(x) = - \sqrt{x + 9} - 2[/tex]
write the formula of the parabola that has x-intercepts (1.3,0) and (-1.3,0), and y-intercept (0,169)
Answer:
y= 169 − [tex]100^{2}[/tex]
Step-by-step explanation:
A parabola is a symmetrical plane curve that forms when a cone intersects with a plane parallel to its side.
Standard form of a quadratic function represent a parabola.
The equation of parabola is [tex]y=-x^{2} +1.69[/tex]
Parabola:We have to find the formula for the parabola that has x- intercepts [tex](1.3,0)[/tex] and [tex](-1.3,0)[/tex], and y- intercept [tex](0,1.69)[/tex]
So that, the intercept form of the quadratic equation is;
[tex]y=a(x-p)(x-q)[/tex]
where [tex](-1.3,0)=(p,0)[/tex] and [tex](1.3,0)[/tex] is[tex](q,0)[/tex].
Since, with the vertex being at the y axis and the intercepts at the x axis means that the parabola opens down.
So that,
[tex]1.69=a(0+1.3)(0-1.3)\\ \\1.69=-1.69 a\\ \\a=-1[/tex]
Substituting value of a in above equation.
[tex]y=-1(x+1.3)(x-1.3)\\\\y=-1(x^{2}-1.69 )\\\\y=-x^{2} +1.69[/tex]
Hence, the equation of parabola is [tex]y=-x^{2} +1.69[/tex]
Learn more about the equation of parabola here:
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what type of function best models the data in the graph?
ANSWER: quadratic
which quadratic equation best models the data in the graph?
ANSWER: y=0.433x^2
ANSWER: quadratic
which quadratic equation best models the data in the graph?
ANSWER: y=0.433x^2
The function that models here is quadratic.
We know,
The curve-shaped graph of a quadratic function is known as a parabola. The vertex of a parabola is one of its focal points. On the graph, it is either the highest or lowest point.
As, The graph shows that the value of x and value of y both increase.
Also, the value of y increases almost as the value of x.
Here the graph represent the Quadratic Equation.
Learn more about function here:
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a swuare has an area of 108.16m2 work put the perimiter of the square
Answer:
41.6 m
Step-by-step explanation:
The area (A) of a square is calculated as
A = s² ( s is the side length ), then
s² = 108.16 ( take the square root of both sides )
s = [tex]\sqrt{108.16}[/tex] = 10.4
Then
perimeter = 4s = 4 × 10.4 = 41.6 m
5. "Twenty-seven less than twice a number is -1.”
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: The number is 13
Explanation:
13(2) - 27 = -1
I hope this helped!
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