Step-by-step explanation:
the slope of a line is always the factor of x in the equation. in our case here : 5/8.
the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).
the perpendicular slope (crosses the original line in a right angle = 90 degrees) turns x and y upside-down and flips the sign.
so, in our case, it is -8/5.
PLEASE HELP ASAP 40% of my grade relies on this question!!!!!!!
Answer:
To solve this, make d the subject from the eqn.
[tex]b = - \frac{1}{c} da[/tex]
[tex]d = - \frac{cb}{a} [/tex]
If Joyce ran around the track 12 times, how many miles did she run? (There are about 1600 meters in one mile)
Answer:
there are 400 meters in a track
400 times 12 = 4800
4800 divided by 1600 =3
Joyce ran 3 miles
Step-by-step explanation:
List the terms in the expression xyz+1
Answer:
see explanation
Step-by-step explanation:
xyz + 1 ← has 2 terms
xyz is one term and the other is the constant term + 1
is −4[3(x−7)] and 6(14−2x) equiviant
Answer:
Yes.
Step-by-step explanation:
Set the equations equal to each other to determine their equality.
-4[3(x - 7)] = 6(14 - 2x)
Distribute the 3 and the 6 into their respective parenthesis.
-4[3x - 21] = 84 - 12x
Distribute the -4 into the brackets.
-12x + 84
Rearrange the equations.
84 - 12x = 84 - 12x
Since the equations come out to be the same thing on both sides so that any value satisfies it, the equations are equivalent.
What is the percent of increase from 25 to 47
Answer:
From 25 to 47 is an increase of 88%.
Step-by-step explanation:
From 25 to 47 is an increase (jump) of 22. Write the ratio 22/25 and then multiply the result by 100%:
(22/25)*100% = 0.88(100%) = 88%
From 25 to 47 is an increase of 88%.
Worth 100 Points!
Help, this is after an test. And I still don't understand it. Could someone please help me understand this question related to inverse functions? Thanks!
You were close, and have the right idea, but I think you did it a bit backwards! You want to "flip" it over the y=x line (picture attached below)
To solve for the inverse, you will find the equation of the original, switch the x and y, then solve for y.
We can (mostly, I think?) tell the equation for f(x) is as follows, so we switch the y and x for the steps following to solve for y:
[f(x)] y = -2x + 2
[switch] x = -2y + 2
[subtract 2 from both sides / flip equation] -2y = x - 2
[divide both sides by -2] y = -2x -4
So our equation for g(x) will be about y = 2x -4
(inverse so the negative is weird)
Photos:
- first is y=x
- second is the general idea of the inverse for what g(x) should look like
- third is kinda what the graph will look like (digitally)
I know this isn't a *perfect* answer, but I hope it explains it some and helps. Good luck! :D
Can you translate the measurements to (cups, teaspoons, tablespoons etc.)
Top flour 170g
Baking powder 5g
Sugar 10g
Butter 40g
Maple syrup 30ml
Milk 40ml
Answer:
Flour: 18.76 Tablespoons
56.28 Teaspoons
1.17 U.S. Cups
Baking Powder: 0.35 Tablespoons
1.04 Teaspoons
0.02 U.S. Cups
Sugar: 0.80 Tablespoons
2.40 Teaspoons
0.05 U.S. Cups
Butter: 2.82 Tablespoons
8.46 Teaspoons
0.18 U.S. Cups
Maple Syrup:
0.127 Cups
2.029 Tablespoons
6.087 Teaspoons
Milk:
0.169 Cups
2.705 Tablespoons
8.115 Teaspoons
Hope this helps!!
Have A Blessed Day <333
The coordinates of the vertices of quadrilateral ABCD are A(−5, 1), B(−2, 5), C(5, 3), and D(2, −1).
Drag and drop the choices into each box to correctly complete the sentences.
The slope of AB is ⎯⎯⎯⎯⎯ , the slope of BC is ⎯⎯⎯⎯⎯ , the slope of CD is ⎯⎯⎯⎯⎯⎯ , and the slope of AD is⎯⎯⎯⎯⎯ . Quadrilateral ABCD is ————- because —————
Answer:
mab-2
mbc1/2
mcd-3/4
mad-3/4
Step-by-step explanation:
For w(x)=4x-4 find w(-7) show your work
Answer:
-32
Step-by-step explanation:
To find w(-7) we have to substitute x with -7
w(x)=4x-4
w(x = -7) = 4(-7) -4
w(-7) = -28-4
w(-7) = -32
It took Jack 2 hours to paddle 6.4 km upstream on the Black River to the giant's castle. The speed of the river is 1.8 km/h. How long will it take Jack to cross Swan Lake if the lake is 2.5 km long?
To find the time Jack takes to cross Swan Lake, his average speed is required:
The time it will take Jack to cross Swam Lake is 0.5 hours
Reason:
Time it took Jack to paddle 6.4 km upstream, t = 2 hours
Distance Jack paddled, d = 6.4 km
The given speed of the Black River, v₂ = 1.8 km/h
The width of the lake, w = 2.5 km
The time it will take Jack to cross Swan Lake
Let v₁, represents Jack's speed, we have;
[tex]v_1 - v_2 = \dfrac{d}{t}[/tex]
Therefore;
[tex]v_1 - 1.8 = \dfrac{6.4}{2} = 3.2[/tex]
v₁ = 3.2 + 1.8 = 5
Jack's speed, v₁ = 5 km/h[tex]Time \ to \ cross \ the \ lake , \ t_S = \dfrac{w}{v_1}[/tex]
[tex]t_S = \dfrac{2.5 \, km}{5 \, km/h} = 0.5 \, hr.[/tex]
The time it will take Jack to cross Swan Lake, [tex]t_S[/tex] = 0.5 hours
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The graph of y = x2 + 4x + 3 is shown.
a) What are the coordinates of the turning point?
b) What are the coordinates of the roots of the equation x + 4x + 3 = 0 ?
Answer:
a.(-2,-1)
b.(-3,0) and (-1,0)
Step-by-step explanation:
the roots are 2
Which polynomial has (3x + 2) as a binomial factor?
Answer:
Step-by-step explanation:
If binomial (3x+2) is a factor of some polynomial, then number is this polynomial's root. Check all polynomials:
6x^3+3x^2+4x+2
Answer:
B. [tex]12x^2+15x+8x+10[/tex]
Step-by-step explanation: I did this assignment on edge.
Find the measure of the missing angles
Answer:
m∠1 = 63
m∠2 = 49
m∠3 = 87
m∠4 = 44
Step-by-step explanation:
Angle 2 and 49 are similar
Angle 2 = 49
Angle 1 + 49 + 68 = 180
180 - 49 - 68 = Angle 1
180 - 49 - 68 = 63
Angle 1 = 63
Angle 3 + 93 = 180
180 - 93 = Angle 3
180 - 93 = 87
Angle 3 = 87
Angle 4 + 49 + 87 = 180
180 - 49 - 87 = Angle 4
180 - 49 - 87 = 44
Angle 4 = 44
Step-by-step explanation:
A straight angle measures 180°.
m∠3 = 180 - 93
m∠3 = 87
The sum of the three angles of any triangle is equal to 180°.
m∠4 = 180 - (49 + 87)
m∠4 = 180 - 136 = 44
The vertically opposite angle.
so m∠2 = 49
The sum of the three angles of any triangle is equal to 180°.
m∠1 = 180 - (68 + 49)
m∠1 = 180 - 117 = 63
please give me a brainliest answer
What is the value of x?
Enter your answer in the box.
Answer:
X = 80°
Step-by-step explanation:
The total number of degrees in a triangle is 180°.
70° + 30° = 100°
180° - 100° = 80°
help me pls iam confused
Answer:
z=9.6
Step-by-step explanation:
Because you know 17 is one of the values in the model, you do:
65-17=48
Then, because you have 5 z values, you do:
48/5=9.6
z=9.6
If (x+iy)³ = y+vi then show that (y/x + v/y) = 4(x²-y²)
Answer:
Step-by-step explanation:
[tex] \large\underline{\sf{Solution-}}[/tex]
Given that,
[tex]\rm \longmapsto\: {(x + iy)}^{3} = y + iv[/tex]
[tex]\rm \longmapsto\: {x}^{3} + 3 {x}^{2}(iy) + 3x {(iy)}^{2} + {(iy)}^{3} = y + iv[/tex]
[tex]\rm \longmapsto\: {x}^{3} + 3 {x}^{2}yi + 3x {i}^{2} {y}^{2} + {i}^{3} {y}^{3} = y + iv[/tex]
We know,
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1 \: \: \: and \: \: \: {i}^{3} = - i }}} \\ [/tex]
So, using this, we get
[tex]\rm :\longmapsto\: {x}^{3} + 3 {x}^{2}yi - 3x{y}^{2} - i{y}^{3} = y + iv[/tex]
[tex]\rm \longmapsto\: ({x}^{3} - 3x {y}^{2}) + i(3{x}^{2}y- {y}^{3})= y + iv[/tex]
On comparing real and Imaginary parts, we get
[tex]\rm \longmapsto\:y = {x}^{3} - 3 {xy}^{2} [/tex]
and
[tex]\rm \longmapsto\:v = {3x}^{2}y - {y}^{3} [/tex]
Now, Consider
[tex]\rm \longmapsto\:\dfrac{y}{x} + \dfrac{v}{y} [/tex]
[tex]\rm \: = \: \dfrac{ {x}^{3} - {3xy}^{2}}{x} + \dfrac{ {3yx}^{2} - {y}^{3} }{y} [/tex]
[tex]\rm \: = \: \dfrac{ x({x}^{2} - {3y}^{2})}{x} + \dfrac{y({3x}^{2} - {y}^{2})}{y} [/tex]
[tex]\rm \: = \: {x}^{2} - {3y}^{2} + {3x}^{2} - {y}^{2} [/tex]
[tex]\rm \: = \: 4{x}^{2} - {4y}^{2}[/tex]
[tex]\rm \: = \: 4({x}^{2} - {y}^{2})[/tex]
Hence, Proved
hi please help me thanksss
pls provide workings too thanks :)
Step-by-step explanation:
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Class 11
>>Maths
>>Trigonometric Functions
>>Trigonometric Equations
>>Solve for x: sin x + sin 2x...
Question
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Solve for x:sinx+sin2x+sin3x=cosx+cos2x+cos3x in the interval 0≤x≤2π.
Medium
Solution
verified
Verified by Toppr
We write the given equation as
(sinx+sin3x)+sin2x=(cosx+cos3x)+cos2x
or 2sin2xcosx+sin2x=2cos2xcosx+cos2x
or sin2x(2cosx+1)=cos2x(2cosx+1)
or (sin2x−cos2x)(2cosx+1)=0
∴sin2x−cos2x=0 or 2cosx+1=0
If sin2x−cos2x=0, then tan2x=1,
Hence 2x=nπ+π/4
or x=(4n+1)
8
π
.(1)
If 2cosx+1=0, then cosx=−1/2 (2)
∴x=2nπ±
3
2π
or x=
3
6n±2
π
We seek values of x in the interval 0≤x≤2π
In this interval (1) gives
x=π/8,5π/8,9π/8,13π/8. (n=0,1,2,3)
and (2) gives x=2π/3,4π/3. (for n=0,1)
Thus we get the answer
x=π/8,5π/8,2π/3,9π/8,4π/3,13π/8.
Please solve... I will mark you brainliest
[tex]x=16\\m<P=73\\m<Q=67\\m<R=40[/tex]
Answer:
x=42,
Step-by-step explanation:
sorry i don't know the rest but hope this helps u don't need to mark me brianlest i just wanted to help
will mark brainliest
Answer:
148 deger ❤❤❤❤❤❤❤❤❤❤
32 meter
Write as a decimal: two and three-tenths =
Answer:
2.3 is ur answer
Step-by-step explanation:
Answer:
2.3
Step-by-step explanation:
the interweb said so
One circle has a circumference of 12 cm. Another circle has a circumference of 32 x cm. What is the ratio of the
radius of the smaller circle to the radius of the larger circle?
3:8
8:3
1:3
3:1
Answer:
8:3
Step-by-step explanation:
Answer:
3:8 or 8:3, im leaning towards 3:8 more but i dunno
Step-by-step explanation:
Perimetre of rectangle is 256cm.it length is 3times as long as its breadth.find breadth or length.
what is an equation of the line that passes through the point (-8,0) and is parallel to the line x+2y=14
Triangle EFG is congruent to triangle JKL.
What is KL, in units?
Applying the theorem of congruent triangles, since FG = 6 units and FG and KL are congruent, therefore:
KL = 6 units
Recall:
Congruent triangles have the same shape and size.Congruent triangles have all corresponding angles and side lengths congruent to each other.Given that:
[tex]\triangle EFG \cong \triangle JKL[/tex],
therefore,EF = JK
FG = KL, and
EG = JL
Thus, since FG = 6 units and FG and KL are congruent, therefore:
KL = 6 units
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Help me please please pleade help me!!
Answer:
See belowStep-by-step explanation:
#3Given function
f(x) = 2x + 3a) Complete the table. Find the values of f(x) or y:
x = -1 ⇒ f(-1) = 2(-1) + 3 = -2 + 3 = 1x = 0 ⇒ f(0) = 2(0) + 3 = 0 + 3 = 3x = 1 ⇒ f(1) = 2(1) + 3 = 2 + 3 = 5b) Plot the points:
(-1, 1), (0, 3), (1, 5)c. The domain the the set of x- values. Since we connect the points, the domain covers the interval between the endpoints:
Domain: {x | -1 ≤ x ≤ 1}
#4a) The domain is the set of x- values (first number in ordered pairs):
Domain: {x | x = -3, -2, 0, 2, 3}The range is the set of y- values (second in pairs):
Range: {y | y = -3 , -1, 1 } (note, repeats are counted as same)b) Graph by plotting the points:
(-3, -3), (-2, -1), (0, 1), (2, -1), 3, -3)c) The graph is NOT linear as you don't get a straight line if you connect the points
Which inequality represents the sentence?
The difference of seven and two tenths and a number is more than twenty nine.
7.2 - n > 29
n - 7.2 Greater-than-or-equal-to 29
7.2 - n < 29
n - 7.2 < 29
Answer:
The difference of seven and two tenths and a number is more than twenty nine.
7.2 -n >29
Choice A
Step-by-step explanation:
If the length of overline AC equals 84, what is the length of the midsegment overline DE ?
A) 28
B) 32
C) 36
D) 42
Similar shapes may or may not be congruent
The length of DE is 42 units
The given parameters are:
[tex]\mathbf{AC = 84}[/tex]
[tex]\mathbf{BA = 2BD}[/tex] --- Because DE is at the midpoint
The equivalent ratio is then represented as:
[tex]\mathbf{BD : DE = BA : AC}[/tex]
Substitute [tex]\mathbf{BA = 2BD}[/tex]
[tex]\mathbf{BD : DE = 2BD : AC}[/tex]
Express as fraction
[tex]\mathbf{\frac{DE}{BD }= \frac{AC}{2BD }}[/tex]
Make DE the subject
[tex]\mathbf{DE= \frac{AC}{2BD } \times BD}[/tex]
[tex]\mathbf{DE= \frac{AC}{2 }}[/tex]
Substitute 84 for AC
[tex]\mathbf{DE= \frac{84}{2 }}[/tex]
[tex]\mathbf{DE= 42}[/tex]
Hence, the length of DE is 42 units
Read more about similar shapes at:
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HELP PLEaseeeeeeeeeeeee thank youi
Answer:
d=4.5t
Step-by-step explanation:
in two hours, Francine went 9 miles
9/2=4.5
the distance equals 4.5 times each cycling time.
d=4.5t
Jessica plants a seed 3 1/2 inches below the ground. The plants grows from 15 3/4 inches . What is the height of the plant above ground?
Answer:
49/4 inches
Step-by-step explanation:
Inches below ground= 3 1/2 inches
Plant's full height=15 3/4 inches
Height above ground = 15 3/4 inches -3 1/2 inches
63/4 - 7/2
63-14/4
49/4 inches
What is the area, in square meters, of the shape below?
Answer:
Step-by-step explanation: