Answer:
[tex]-x - y = 2[/tex].
Step-by-step explanation:
If the slope of a line in a plane is [tex]m[/tex] and the [tex]y[/tex]-intercept of that line is [tex]b[/tex], the slope-intercept equation of that line would be [tex]y = m\, x + b[/tex].
Rearrange the equation of the given line [tex]-x + y = 7[/tex] in the slope-intercept form to find the slope of this line:
[tex]-x + y = 7[/tex].
[tex]x -x + y = x + 7[/tex].
[tex]y = x + 7[/tex].
Notice that in the slope-intercept equation of this given line, the coefficient of [tex]x[/tex] is [tex]1[/tex]. Thus, the slope of the given line would be [tex]m_{1} = 1[/tex].
Two lines in a plane are perpendicular to one another if the product of their slopes is [tex](-1)[/tex]. In other words, if [tex]m_{1}[/tex] and [tex]m_{2}[/tex] are the slopes of two lines perpendicular to each other, then [tex]m_{1}\, m_{2} = (-1)[/tex].
Since [tex]m_{1} = 1[/tex] for the given line, the slope of the line perpendicular to this given line would be:
[tex]m_{2} = (-1) / m_{1} = (-1) / 1 = -1[/tex].
If the slope of a line in a plane is [tex]m[/tex], and that line goes through the point [tex](x_{0},\, y_{0})[/tex], the equation of that line in point-slope form would be:
[tex]y - y_{0} = m\, (x - x_{0})[/tex].
The slope of the line in question is [tex]m = (-1)[/tex]. It is given that this line goes through the point [tex](-1,\, -1)[/tex], where [tex]x_{0} = (-1)[/tex] and [tex]y_{0} = (-1)[/tex]. Thus, the equation of this line in point-slope form would be:
[tex]y - y_{0} = m\, (x - x_{0})[/tex].
[tex]y - (-1) = (-1)\, (x - (-1))[/tex].
[tex]y + 1 = -(x + 1)[/tex].
Rearrange this equation to match the format of the choices:
[tex]y + 1 = -x - 1[/tex].
[tex]x + y = -2[/tex].
[tex]-x - y = 2[/tex].
What is the sum of the first thirteen terms in a geometric series with a
r = 3 a1= -10
The sum of the first thirteen terms of the geometric series is -7971615.
What is Geometric series?This is the sum of an infinite number of terms that has a constant ratio between successive terms.
To calculate the sum of the first thirteen terms of the geometric series, we use the formula below.
Formula:
S₁₃ = a(rⁿ-1)/(r-1).............. Equation 1Where:
S₁₃ = Sum of the first thirteen terms of the geometric series.a = First term of the seriesr = Common ratioGiven:
a = -10r = 3n = 13Substitute these values into equation 1
S₁₃ = -10(3¹³-1)/(3-1)S₁₃ = -7971615Hence, the sum of the first thirteen terms of the geometric series is -7971615.
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I need help in 13 & 14 :((
Answer:
C and J
Step-by-step explanation:
Find cot B if csc ß= 3/5/5 and secß -3/2
Answer:
A) [tex]\displaystyle \frac{2\sqrt{5}}{5}[/tex]
Step-by-step explanation:
Since [tex]\csc\beta=\frac{1}{\sin\beta}[/tex], [tex]\sec\beta=\frac{1}{\cos\beta}[/tex], and [tex]\cot\beta=\frac{\cos\beta}{\sin\beta}[/tex], then [tex]\cot\beta=\frac{\csc\beta}{\sec\beta}[/tex]
This means that [tex]\displaystyle \cot\beta=\frac{-\frac{3\sqrt{5}}{5}}{-\frac{3}{2}}=\frac{-3\sqrt{5}}{5}*-\frac{2}{3}=\frac{2\sqrt{5}}{5}[/tex]
A percent is a rate in which the first term is compared to ______
Answer:
From what we know about percentages and unit rates, the correct options are:
1) 100
2) 1
What is a percent?
Suppose we have an amount A, this would be the 100%.
If we want to know how much a quantity B represents, compared to A, we have:
A = 100%
B = x
where x is a percentage, to find the value of x we compute:
x = (B/A)*100%
While there is a dependence on A, we actually are comparing the term with 100 (because A represents a 100%), so the correct option is A: 100
PLS MARK ME AS THE BRAINLIST!!!
X – 6<-4
A. x<2
B.X-10
C. x>-10
D. x > 2
Answer:
[A] x < 2
Step-by-step explanation:
Given:
x - 6 < - 4
Solve:
Add 6 to both sides
Which shown below:
x - 6 < - 4
+ 6 +6
-----------------
x < 2
Hence, the answer is [A] x < 2
Kavinsky
2. Use the figure to find angle measures. In the figure, m ll n and x ll y.
A. Suppose m<5 = 69º. Find M<10.
B. Suppose m<4 = 114°. Find m<14.
C. Suppose m<5 = 86º. Find m<12.
Answer:
See below ~
Step-by-step explanation:
A.
m∠5 = m∠10 (alternate angles)m∠10 = 69°B.
∠4 + ∠14 = 180° (∠14 is equal to ∠8 as they are corresponding, and ∠8 is supplementary to ∠4)∠14 = 180° - 114°∠14 = 66°C.
∠5 = ∠12 (as ∠10 = ∠12 by alternate interior angles, and ∠10 = ∠5 as alternate angles)∠12 = 86°#1
m<5 and m<10 are alternative and equal
m<10=69#2
They are supplementary
114+m<14=180m<14=180-114=66#3
Alternate angles are equal
m<12=86What is 812 divided by 16
Answer:
50.75
Step-by-step explanation:
812 divided by 16 = 50.75
Hope This Helped
A new website received 1700 hits within 10 hours of going live what is the maximum number of hits it might receive in 24 hours if this triend continues?
Answer:
4080 hits.
Step-by-step explanation:
By proportion that would be 1700 * 24/10
= 4080.
A user manual with 500 pages has 4 pages without diagrams.
What percent of the pages do not have diagrams?
0.25%
0.49%
0.8%
1.25%
0.8%
first we divide 4÷500×100
the we get 0.8%
Answer:
This is so easy it's 0.8%
Step-by-step explanation:
I barely pay attention in class but this is easy work
hope it helps anyways!
p.s i am in k12 sooo ^_^
A frame around a rectangular family portrait has a perimeter of 96 inches. The length of the frame is 6 inches less than
twice the width. Find the length and width of the frame.
Width of the frame is
inches
Length of the frame is
inches
The length is 30 inches.
How to get the length of the frame?
For a frame of length L and width W, the perimeter is:
P = 2*(L + W).
Here we know that:
P = 96 in
L = 2*W - 6in
Replacing that we get:
96in = 2*( (2*W - 6 in) + W)
Now we can solve that equation for W:
96in = 2*(3W - 6in)
96in/2 + 6in = 3W = 54in
W = (54in)/3 = 18in
The width is 18 inches, then:
L = 2*W - 6in = 2*(18 in) - 6in = 30in
The length is 30 inches.
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HELP AND I WILL GIVE YOU BRAINLIST! ANSWER CORRECTLY PLEASE.
Complete the sentences about simplifying this expression.
Answer:
Step-by-step explanation:
First step is to solve the numerator
so the fraction is 29/10/29
so the whole expression is 1/10
Answer: Solve the numerator, numerator and denominator are equal, expression equals 13
Step-by-step explanation:
13 x (5.6-2.7/2.9)
1. The first step; solve the numerator (5.6-2.7=2.9)
2. The numerator and dominator are equal, so the whole expression equals 13 (2.9/2.9 = 1 --> 1*13 = 13)
Simplify: [tex]\sqrt{34}[/tex]
if it cant, just solve.
Hello ~
My name is Sxnnysoul, and I will be answering your question today! :D
We can make an explanation of a quick way, or the long way.
Quick way :-⇢ [tex]\sf{\sqrt{34}[/tex]
⇢ [tex]\sf{Refine \: to \: a \: decimal \: form:}[/tex]
⇢ [tex]\sf{= \: 5.83095}[/tex]
Long way :-Which this one I am talking about of the Square root of an fraction or a prime factorization.
⇢ [tex]\sf{Find \: the \: prime \: factors \: of \: 34.}[/tex]
⇢ [tex]\sf{The \: prime \: factors \: of \: 34 \: are \: 2 \: and \: 17.}[/tex]
⇢ [tex]\sf{34 \: = \: 2 \: ^. \: 17}[/tex]
Hope It Helps! ~
~ Learn With Sxnnysoul ~
[tex]\underline{Answer :}[/tex]
ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ
38. Cylinder A has a radius of 1 m and a height of 4 m. Cylinder B has a radius of 1 m and a height
of 8 m. What is the ratio of the volume of cylinder A to the volume of cylinder B?
A.) 1:2
B.) 2:1
C.) 1:1
D.) 1:4
Hey mate ,
The ratio of Cylinder A to Cylinder B can be find by following steps ,
Volume of Cylinder A : Volume of Cylinder B
πr²h : πR²H
putting the known values , and cancelling same terms on both the sides4 : 8 ( as π and radius can be cancelled because they are same on both the sides)
Ratio :- 1:2
The Ferris wheel at the museum park has a height requirement of 48 inches your little sister is 45 inches tall how much taller does she need to go before she can ride the Ferris wheel
Answer:
3 inches
Step-by-step explanation:
48 - 45 = 3
Please help me out!
Answer:
it is the there'd one
if this is wrong sorry
Solve x + 8 > 13, x + 18 > 23, x + 28 > 33. Complete the description of a pattern. Then use the pattern to predict the solution of x + 5,558 > 5,563.
For each inequality, x > ?
, and the number added to x is ?
less than the number on the right side of each inequality. So, x > ?
is the solution of x + 5,558 > 5,563.
Answer:
For each inequality, x > 5
, and the number added to x is 5
less than the number on the right side of each inequality. So, x > 5
is the solution of x + 5,558 > 5,563.
Step-by-step explanation:
13-8=5
State the center coordinate and radius length of the circle: x^2 + y^2 - 8x + 12y + 40 = 0
Answer:
Below in bold.
Step-by-step explanation:
x^2 + y^2 - 8x + 12y + 40 = 0
x^2 - 8x + y^2 + 12y = -40
Complete the square on the x and y terms:-
(x - 4)^2 - 16 + ( y + 6)^2 - 36 = -40
(x - 4)^2 + (y + 6)^2 = -40 + 16 + 36
(x - 4)^2 + (y + 6)^2 = 12
So the centre is at (4, -6) and the radius is √12.
Answer:
The circle is centered at (4,-6) and has a radius of √12.
Step-by-step explanation:
The standard form for the circle equation is:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
You have:
[tex]x^2+y^2-8x+12y+40=0[/tex]
First complete the square for the 'x' terms:
[tex](x^2-8x+40)+y^2+12y=0[/tex]
[tex](x^2-8x+16-16+40)+y^2+12y=0[/tex]
[tex](x^2-8x+16)+y^2+12y+24=0[/tex]
[tex](x-4)^2+y^2+12y+24=0[/tex]
The 'x' terms are now in standard form. Work on the 'y' terms by completing the square once again:
[tex](x-4)^2+(y^2+12y+36-36+24)=0[/tex]
[tex](x-4)^2+(y^2+12y+36)-12=0[/tex]
[tex](x-4)^2+(y+6)^2-12=0[/tex]
Add the 12 to the other side:
[tex](x-4)^2+(y+6)^2=12[/tex]
The circle is centered at x = 4, y = -6, and has a radius of √12.
Look at the corners of the shape below. Which of the following points is located at one of the corners?
(1,6)
(2,2)
(6,1)
(1,7)
Answer: (6,1)
Step-by-step explanation:
Coordinate points are written as (x, y).
Here is a tip for finding coordinate points on a graph:
[1] Start at the origin, point (0, 0) on the graph
[2] "Walk left/right to the elevator" - this is the x-coordinate value
[3] "Go up/down the elevator" - this is the y-coordinate value
Here is an example, using your problem:
-> See attached
[Points in Blue] Move one unit right, three units up to (1, 3)
[Points in Red] Move two units right, seven units up to (2, 7)
[Points in Green] Move 6 units right, one unit up to (6, 1)
-> This means the answer to your problem is the third option, (6, 1)
If you are color blind, let me know and I will rephrase it.
85% of fans going to a baseball game will spend at least $7.00 on food at the ballpark.
If 38,214 fans come out to Miller Park to watch the Milwaukee Brewers play against the Miami Marlins, how
much money will the ballpark make on food sales?
Answer:
$227,373.3
Step-by-step explanation:
85% of 38,214 is 32,481.9
If 32,481.9 will spend at least $7.00 on food that will give us $227,373.3
PLS HURRY
Explain how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.
A change in the scale factor is to occur when an enlargement or a reduction in the dimensions of a building occurs to preserve the relationship between actual and mapped dimensions.
What is scale factor?Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures. An enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.
This can be understood with the following points:
Scale factor is the proportion between the actual and mapped dimensions of a construction.The change in dimensions of the building lead to the change in scale factor.This is happened to preserve their relationship.Thus, a change in the scale factor is to occur when an enlargement or a reduction in the dimensions of a building occurs to preserve the relationship between actual and mapped dimensions.
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inverse function of f(x)=3x-2
Step-by-step explanation:
so......im not certain about my solution,but this is what I think
f(x)=3x-2
replace f(x) with the latter Y
so its gonna be...y=3x-2
make x subject of the fomula
so is gonna be...y=3x-2
y-2=3x
x = y-2 3x 10xy) + 16x
19 +11z +2 (-2-z)
Answer:
Don't understand retype your question
Sulio wants to build a wooden fence to enclose his vegetable garden. Determine the amount of fencing he needs by finding the perimeter of the garden.
Perimeter = 2 times length + 2 times width. The length of a garden is 8 feet and the width is 6 feet.
Evaluate the formula for the perimeter of a parallelogram to solve the problem. Then check all that apply.
First, write the formula for the perimeter of a parallelogram, P = 2l + 2w.
Next, use parentheses when you substitute 8 for l and 6 for w.
After multiplying, add 16 and 12.
Sulio needs 28 feet of fencing.
Sulio needs 48 feet of fencing.
The perimeter of the rectangle is 28 feet. Then Sulio needs 28 feet of fencing.
What is the perimeter of a rectangle?For a rectangle with length and width L and W units, we get:
Perimeter of the rectangle = 2(L + W) units
Sulio wants to build a wooden fence to enclose his vegetable garden. Determine the amount of fencing he needs by finding the perimeter of the garden.
The length of a garden is 8 feet and the width is 6 feet.
Then the perimeter of the rectangle will be
Perimeter = 2 (8 + 6)
Perimeter = 2 x 14
Perimeter = 28 feet
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Answer:
Look at this image.
Step-by-step explanation:
A, B, C, D. I am intelligent
how to simplify (4i)^2 ?
Answer:
-16
Step-by-step explanation:
Simplify:[tex](a*b)^m=a^m * b^m\\[/tex]
i² = -1
(4i)² = 4² * i²
= 16 * (-1)
= -16
Let's examine what we know:
[tex](ab)^x=a^x * b^x[/tex]
So, In the equation: [tex](4i)^2[/tex]
⇒ is equivalent to ⇒ [tex]4^2*i^2= 16 * (-1) = -16[/tex]
Answer: - 16
Hope that helps!
$300 to $200 is how much of an increase?
Answer:
$100
Step-by-step explanation:
$300-$200=$100
or
$200+$100=$300
Answer:
50%
Step-by-step explanation:
What is the area of a square if one side is 14 centimeters long?
Answer:
A=a2=142=196cm²
Answer: 196 cm²
hope this helps :)
Answer:
196cm²
Step-by-step explanation:
All of a square's sides are congruent which means if one side is 14cm then all the other sides have to be 14cm as well.
To find the area you multiply the length and the width (A=l*w)
l=14, w=14
14*14=196cm²
Julian’s friend James also has a tank in the shape of a triangular prism. The dimensions of James’ tank are each exactly 2 3/4 times the dimensions of Julian’s tank. If the area of the triangular base of Julian’s tank is approximately 400 square inches, what is the approximate area of the triangular base of James’ tank?
3,025 square inches
2,035 square inches
3,045 square inches
4,025 square inches
The approximate area of the triangular base of James’ tank is 3025 in²
To find the approximate area of the triangular base of James' tank, we need to know what scale is.
What is scale?A scale is the ratio of two dimension. It is given by scale = New dimension/old dimension
Given that the dimensions of James’ tank are each exactly 2 3/4 times the dimensions of Julian’s tank.
The scale of the area of James' tank to the area of triangular base of Julian's tank is S = (2³/₄)²
= (11/4)²
= 121/16
Let
A = area of triangular base of James' tank, A' = area of triangular base of Julian's tank = 400 in²So, scale, S = A/A'
The approximate area of the triangular base of James’ tankSo, making A subject of the formula, we have
A = SA'
A = 121/16 × 400 in²
A = 121 × 25 in²
A = 3025 in²
So, the approximate area of the triangular base of James’ tank is 3025 in²
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A company is going to make a storage container with sheet steel walls. The container will be in the shape of a rectangular prism, as shown below. If the sheet
steel costs $25 for each square meter, how much will the sheet steel cost in total?
6 m
3 m
5 m
Answer:
$42.78
Step-by-step explanation:
explanation is on the picture
The LCM of 8ab and 12a^2 is
A. 48a³b.
B.) 48a²b.
C. 24a²b.
D. 24ab.
E. 48a².
of 8ab
Answer:
C. 24a²bStep-by-step explanation:
8ab = 4a × (2b)
12a² = 4a × (3a)
Then
LCM(8ab , 12a²) = 4a × (2b) × (3a)
= (4×2×3) × (a×a×b)
= (24) × (a²×b)
= 24a²b
Find an angle α that is coterminal with an angle, in radians, measuring −13π/2, where 0≤α<2π. Give your answer as an exact answer involving π, if necessary.
Answer:
α = 3π/2
Step-by-step explanation:
To find the coterminal angle, add multiples of 2π until you have an angle in the desired range. Here, you need to add 8π.
α = -13π/2 + 8π = (-13 +16)π/2 = 3π/2
