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Perpendicular lines have slopes that are opposite reciprocals.
This means we take the slope, flop it over, and change its sign.
In this case, we have
[tex]\boxed{-4}[/tex]
First, flop it over:
[tex]\boxed{-\frac{1}{4}}[/tex]
Change its sign:
[tex]\boxed{\frac{1}{4}}[/tex]
Now, let's write the equation of the line in point-slope form:-
[tex]\bigstar\boxed{\pmb{y-y1=m(x-x1)}}\longleftarrow\sf{Point-Slope~Formula}[/tex]
Where
y₁ is the y-coordinate of the point that the line intersects
m is the slope of the line
x₁ is the x-coordinate of the point that the line intersects
In this case,
y₁ is equal to -4
m is equal to [tex]\boxed{\frac{1}{4} }[/tex]
x₁ is equal to -2
Plug in the values:-
[tex]\bigstar{\boxed{y-(-4)=\frac{1}{4}(x-(-2)}[/tex]
Simplify:-
[tex]\longrightarrow\sf{y+4=\frac{1}{4} (x+2)[/tex]
and we're done!
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note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Regression equation : y = 3.915(1.106)x. which two equations below could you solve to find d, the number of days it takes the water lily population to double? 2 = 3.915(1.106)d 7.830 = 3.915(1.106)d 7.830 = 3.915(2)d 2 = 1.106d
Answer: 1.106D
Step-by-step explanation: 7.830=3.915(1.106)D and 2 = 1.106D
The number of days it takes the water lily population to double will be 3.915.
What is a regression equation?The equation is written as Y= a + bX, where Y is the dependent variable and X is the independent variable.
This is an algebraic idea; imagine the initial number was x and the new number is 2x. If the constant rate of growth is r and the time is D, the function expressing growth will be:
[tex]2x=x(r)D\\\\ 7.830=3.915(1.106)D\\\\ 7.830=3.915(2)D[/tex]
Hence the number of days it takes the water lily population to double will be 3.915.
To learn more about the regression equation refer to the link;
https://brainly.com/question/7656407
et
Which is true regarding Armando's use of algebra tiles?
O He used the algebra tiles correctly.
He did not represent the two original factors correctly.
O The signs on some of the products are incorrect.
O Some of the products do not show the correct powers
of x.
Answer:
The Last One
Step-by-step explanation:
hope this helps :))
Can someone help me with these questions
Answer:
Step-by-step explanation:
When you take the n-th root of a number, you can rewrite the expression by taking it to the 1/n-th power. For example:
[tex]\sqrt[n]{x} =x^\frac{1}{n}[/tex]
For the first expression, we can use this proprtery to get:
[tex]\sqrt[5]{a^x} =(a^x)^\frac{1}{5}[/tex]
Using exponent rules, you can combine the exponents by simply multiplying them to get:
[tex]a^\frac{x}{5}[/tex]
Moving on to the second expression. It is now the square root, or equivalently a 1/2 power. If we break up the terms under the radical into powers of 2, we can cancel a lot of the terms:
[tex]\frac{\sqrt{81a^3b^1^0} }{\sqrt{3}a } =\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }[/tex]
The a^2 and b^10 can be taken out of the radical because they have perfect roots:
[tex]\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }=ab^5\frac{\sqrt{81a} }{\sqrt{3}a }[/tex]
The square root of 81 has a perfect root of 9. We have:
[tex]ab^5\frac{\sqrt{81a} }{\sqrt{3}a }=9ab^5\frac{\sqrt{a} }{\sqrt{3}a }[/tex]
You can divide 9 and the square root of 3 by breaking up 9 into a product:
[tex]\frac{(3*3)ab^5}{\sqrt{3} } \frac{\sqrt{a} }{a }=3\sqrt{3} ab^5\frac{\sqrt{a} }{a }[/tex]
Simply by cancelling the 'a' terms to get:
[tex]3\sqrt{3} ab^5\frac{\sqrt{a} }{a }={3\sqrt{3}}\sqrt{a}b^5=3b^5\sqrt{3a}[/tex]
Help I don't knoz if this is right but I think the answer is d
Why would you want a small remote valve and a large valve close to the cylinder?
An individual will want small remote valve and a large valve close to the cylinder in order to build the pressure.
What is pressure?It should be noted that pressure simply means the measure of the force that's applied over a unit area.
In this case, an individual will want small remote valve and a large valve close to the cylinder in order to build the pressure between each valve and also create more pressure for the cylinder.
Learn more about pressure on:
https://brainly.com/question/25736513
Please Help!
A. 18 ft by 27 ft
B. 18 ft by 9 ft
C. 9 ft by 13.5 ft
D. 72 in. by 108 in
Answer:
C
Step-by-step explanation:
I hope it is right, sorry if it's wrong. ☹
The price of a ring was increased by 9% to £1800. What was the price before the increase? Give your answer to the nearest penny.
Name two points on the line y = 6x. Does it describe a proportional relationship? Explain.
Anser: 2,12 and 4, 24. Yes, it is proportional.
Step-by-step explanation:
For every 2x, y will be inceased by 12.
A skateboarding ramp is in the shape of a triangular prism, If the entire ramp is to be painted, and a can on spray paint covers 1,000 sq^2, how many cans will be needed?
Step-by-step explanation:
I don't have that much time to wait for all the clarifications, so I will make some assumptions based on what I saw in your comments so far.
please change the numbers in the calculation (and the recalculate) as necessary :
we are dealing with a triangular prism that acts as a ramp.
triangular means that the sides are in the shape of triangles.
but the front, the back and also the bottom areas are rectangles.
the area of a rectangle is length×width.
the area of a triangle is baseline×height/2
since it is supposed to be a ramp, I assume the triangle shape of the sides is right-angled. that means the back side of the ramp is standing straight up (90° angle with the bottom).
the height of the ramp is the height of the triangle side areas, and is simply the left leg of the triangle (again, going straight up with a 90° angle to the baseline).
I understand the height is 14 in.
I assume the front length is 50 in. and the depth of the ramp (the length of the baseline of the triangular sides) is 48 in.
now we get the length of the inclined "front" leg of the side triangles via Pythagoras
c² = a² + b²
with c being the side opposite of the 90° angle (exactly the inclined leg we are looking for) :
c² = 14² + 48² = 196 + 2304 = 2500
c = 50 in
that means our front rectangle of the ramp is actually a square of 50in × 50in.
the entire ramp is to be painted. that means really every side, including the bottom.
so, the whole surface area is the sum of the individual areas.
we have
1 (inclined) front area 50in × 50in
1 back side (straight up) 50in × 14in
1 bottom area 50in × 48in
2 side triangles 48in × 14in / 2 = 48in × 14in
so, we get as total area
50×50 = 2500 in²
50×14 = 700 in²
50×48 = 2400 in²
48×14 = 672 in²
---------------------------
6272 in²
now, one can of spray paint can cover 2000 in².
that means we need
6272 / 2000 = 3.136 cans.
and since we cannot buy fractions of cans, we need to round up.
we need 4 cans to do the painting job.
Which statement is correct?
Answer:
C because the answer is right
help 1 hour left please
Answer: 110 degrees
Step-by-step explanation:
From the coordinate 8,12 to 10 and 15 what was the scale factor
Answer:
Scale factor is 5/4
Step-by-step explanation:
To find scale factor make a fraction. New coordinates/old coordinates
Make the fractions and reduce.
10/8 and 15/12
5/4 and 5/4
The scale factor is 5/4
What would be the formula if the farm agency could only use the letters A, B, C, and blank spaces?
The formula of the farm agency illustrates a geometric progression
The formula the farm agency could use is y = 3^n
How to determine the formula?The number of characters is given as:
n(A,B,C) = 3
Represent the number of tags to create with y.
So, we have:
y = 3×3×3×3×..........×3( in n places)
Express as exponent
y = 3^n
Hence, the formula the farm agency could use is y = 3^n
Read more about formulas at:
https://brainly.com/question/2500080
Answer: y=4^n
Step-by-step explanation: I got the question right and this was the answer, I believe its because the company uses A,B,C and blank spaces so that adds one.
find the area of the shaded region. please show your work
Answer:
≈184.25
Step-by-step explanation:
1) if r=10 and 'a' is the length of the side of the triangle, then the ratio
a=r√3;
2) the required area can be calculated as
A=πr²-√3/4*a²; ⇔ A=πr²-3√3/4 r²;
3) according to the formula above, the required area:
[tex]A=r^2(\pi -\frac{3\sqrt{3} }{4} ); \ = > \ A=100*(3.1415-\frac{3*1.7321}{4})=184.2462[/tex]
f(x) = 3x - 2x - 5
Factoring quadratics
Answer:
[tex](3x -5)(x+1)[/tex]
Step-by-step explanation:
Factoring [tex]3x^{2} -2x-5=0[/tex] results in [tex](3x -5)(x+1)[/tex]
Let x, y, and z represent three rational numbers, such that y is 512 times x and z is 50.25 more than x. If y=15.5, what is the value of z?
Enter your answer in the grid.
WHAT IS Z?
Answer:
z = 50.2802734375
Step-by-step explanation:
y = 15.5
y is 512 times x
z is 50.25 more than x
15.5/512 = 0.0302734375
x = 0.0302734375
0.0302734375 + 50.25 = 50.2802734375
z = 50.2802734375
3 3/5 + 1 1/6 answer as a fraction
Answer:
[tex]\boxed{\sf{4\dfrac{23}{30} }}[/tex]Step-by-step explanation:
It is necessary to add the whole numbers of fractions from left to right in order to solve this problem.
3 3/5+1 1/6First, you have to add the whole numbers.
3+1=4
After that, you can combine by a fraction.
6*3=18
18/5+ 1 1/6
1+6=7
7/6
Rewrite the problem down.
18/5+7/6
Solve.
5*6=30
143/30
=23/30
[tex]\boxed{\sf{4\dfrac{23}{30} }}[/tex]
Therefore, the final answer is 4 23/30.I hope this helps you! Let me know if my answer is wrong or not.
Tim wants to buy soda. He can choose a 6-pack of 0.355-liter cans or a 2-liter bottle. Which statement is true?
The 6-pack contains 0.130 liters more soda.
The 2-liter bottle contains 0.130 liters more soda.
The 2-liter bottle contains 0.645 liters more soda.
The 6-pack contains 0.645 liters more soda.
Answer:
The 6-pack contains 0.130 liters more soda.
The volume of this right prism is 266.5 ft³.
What is the height, x, of the prism?
Enter your answer as a decimal in the box.
x =
ft
Hey there!
1/2 lwh = v
lwh = 2v
h = 2v/lw
Formula:
H = 2v / l w
H = 2(266.5ft³)/lw
H = 533/lw
Other length are Missing like length and width
Incomplete question
Answer:
The answer is 8.2, I took the test.
PLEASE HELP ME QUICK !!
Answer:
9.138
10.28
11.26
12.55
ANSWER :
9.) 138
10.)28
11.)26
12.)55
HOPE IT HELPS
# CARY ON LEARNINGABC is a straight line. BD=BC Angle ADB=80° Angle BDC=20° Work out the size of the angle marked x. Give reason for your answer.
Answer:
hai
Step-by-step explanation:
Pak Awi mau beli jam tangan Rolex hulk submarine dengan harga 300jt. Dia mau beli 2 tahun lagi
dengan asumsi harga jam naik 2% / tahun. Future Value
Uang pak awi sekarang hanya 100jt, berapa yang harus pak awi tabung tiap bulan nya agar 2 tahun lagi
dia bisa beli jam tangan tersebut, jika bunga tahunan adalah 15% / tahun (pajak = 10%) ??? Present
value. Future value. Present value annuity.
Bunga di terima per bulan, dan tetap di gulung.
Ya Berapa yang dia tabung tiap bulan
-pakai tabel
Jin's family took a road trip to Niagara Falls. Jin slept for the last 24 miles of the trip. If the total length of the trip was 400 miles, what percentage of the total trip had they travelled when Jin fell asleep?
A circle has a radius of 9 cm and a sector of the circle has an arc length of 9. 7cm
Answer:
S = R θ where θ is in radians
If θ = 2 pi then S = 2 pi R the circumference of the circle
θ = S / R = 9.7 / 9 = 1.08 rad
Since 1 rad = 360 / (2 pi) = 57.3 deg
the angle included = 1.08 rad * 57.3 deg/rad = 61.9 deg
Can u do these for me
Answer:
Step-by-step explanation:
Compare the decimals using >, <, or =
2.95 > 2.949 (2.95 can be written as 2.950, which is > 2.949)3.75 < 3.8 (3.8 can be written as 3.80, which is > 3.75)0.98 = 0.980 (0.98 can be written as 0.980, which is = 0.980)0.86 < 0.861 (0.86 can be written as 0.860, which is < 0.861)1.76 < 2 (2 can be written as 2.00, which is > 1.76)3.15 < 3.2 ( 3.2 can be written as 3.20, which is > 3.15)Name two equivalent fractions for each fraction listed below.
2/4 = 1/2 = 4/81/3 = 2/6 = 3/91/10 = 2/20 = 3/30If there are 16 cups in one gallon, how many cups are in 3 gallons?
16 cups = 1 gal.
? cups = 3 gals.
3 * 16 = 48 cups
How many cups are in 5 gallons?
5 * 16 = 80 cups
Compare and contrast squares are rectangles
Squares: have four sides and four equal sides
Rectangles: have four sides and have 2 parallel sides, meaning that they have 2 opposite sides that are equal.
Hope this helps!
Thank you please help if you can
Answer:
The answer is -
15.5^2 Mi
Give brainliest if it helps you
by finding tan θ in 2 different triangles find the value of m
Answer:
m = 3.75
Step-by-step explanation:
tanθ = 3/4θ = 37°⇒ Angle opposing 3 in the left triangle is 53°
sin53° ⇒ 4/5 = 3/m4m = 15m = 15/4m = 3.75-2 (3x -5) -2= 22 - 68
Answer:
9
Step-by-step explanation:
Answer:
i belive the awnser is 9
Step-by-step explanation:
Writing Equations of Parallel Lines
y
5
What is the equation of the line parallel to the given line
with an x-intercept of 4?
y =
4
V
3
2
-5 4 3 2 1
2
5
-1
-2
-3
-5
Intro
Done
Answer:
y = 4x -16
Step-by-step explanation:
The equation of the parallel line can be written from the given x-intercept when we know its slope. The slope will be the same as that of the graphed line. It can be found using the slope formula with the marked points (-3, -3) and (-1, 5).
m = (y2 -y1)/(x2 -x1)
m = (5 -(-3))/(-1 -(-3)) = 8/2 = 4 . . . . . slope of the lines
The point-slope equation for the line with slope 4 through point (4, 0) will be ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
y -0 = 4(x -4) . . . . line with slope 4 through the given x-intercept
y = 4x -16 . . . . . . expanded to slope-intercept form
If f(x) = x + 1, and g[f(x)] = x, what is g(x)?
Answer:
x-1
Step-by-step explanation:
f(x) = x+1
g[f(x)] = x
g[x+1]=x
g(x)=x-1
solve for the missing side
Answer: D
Step-by-step explanation: