Answers
Answer:
subtract 20 from both sides
Step-by-step explanation:
1. To find the answer, let's actually try solving the equation first and find the 2nd step.
2. (Solving)
Step 1: Distribute 2 to each term.
[tex](2)(x)+(2)(10)=60[/tex] [tex]2x + 20 = 60[/tex]Step 2: Subtract 20 from both sides.
[tex]2x + 20 - 20 = 60 - 20[/tex] [tex]2x = 40[/tex]3. Since we got that the second step was "subtract 20 from both sides," the answer is subtract 20 from both sides.
Related Questions
Please solve... I will mark you brainliest
Answers
[tex]x=16\\m<P=73\\m<Q=67\\m<R=40[/tex]
Answer:
x=42,
Step-by-step explanation:
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Answers
Answer:
To solve this, make d the subject from the eqn.
[tex]b = - \frac{1}{c} da[/tex]
[tex]d = - \frac{cb}{a} [/tex]
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Answers
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
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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.
is −4[3(x−7)] and 6(14−2x) equiviant
Answers
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.
HELP PLEaseeeeeeeeeeeee thank youi
Answers
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
If (x+iy)³ = y+vi then show that (y/x + v/y) = 4(x²-y²)
Answers
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
What is the percent of increase from 25 to 47
Answers
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%.
Help me please please pleade help me!!
Answers
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
Triangle EFG is congruent to triangle JKL.
What is KL, in units?
Answers
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
Learn more here:
https://brainly.com/question/9795907
Which polynomial has (3x + 2) as a binomial factor?
Answers
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.
Simplify 2x2 + 3x2 + 3x
Answers
Answer:
10+3x
Step-by-step explanation:
2(2) = 4
3(2) = 6
4+6 = 10
10+3x
Answer:
Step-by-step explanation:
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 ?
Answers
Answer:
a.(-2,-1)
b.(-3,0) and (-1,0)
Step-by-step explanation:
the roots are 2
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?
Answers
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
Learn more here:
https://brainly.com/question/17168275
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
Answers
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:
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Answers
Answer:
you have to do it look up how to chart coordinates
Step-by-step explanation:
Answer:
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Step-by-step explanation:
ok so the anser r very ez
first multiply and do tibi top in botton out dived the factor and thete for u will get *** and ****** **** *** for the first anser
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
Answers
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
what is an equation of the line that passes through the point (-8,0) and is parallel to the line x+2y=14
Answers
y = -1/2x - 4
Step-by-step explanation:
First we wanna convert x + 2y = 14 into a slope-intercept equation.
x + 2y = 14
2y = 14 - x
y = 7 - x/2 or y = -1/2x + 7
Now that we have the line in slope-intercept form, we can solve for a line that is parallel to.
But first, what do parallel lines have in common? Parallel lines never intersect first of all and second they have the same slope so meaning we’re going to use -1/2 in order to find the equation of a parallel line so…
y = -1/2x + b
use the given point in the question
0 = -1/2(-8) + b
0 = 4 + b
b = 0 - 4
b = -4
The y-intercept of the line is -4
The equation of the line that passes through the point (-8, 0) and is parallel to the line x + 2y = 14 is y = -1/2x - 4
If Joyce ran around the track 12 times, how many miles did she run? (There are about 1600 meters in one mile)
Answers
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:
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 —————
Answers
Answer:
mab-2
mbc1/2
mcd-3/4
mad-3/4
Step-by-step explanation:
help me pls iam confused
Answers
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
List the terms in the expression xyz+1
Answers
Answer:
see explanation
Step-by-step explanation:
xyz + 1 ← has 2 terms
xyz is one term and the other is the constant term + 1
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Answers
Answer:
C.
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Say we had 2 fractions:
2/4 & 3/6
and we were trying to find out if they were proportional.
An easy way to do this is to divide the numerator of the second fraction by the numerator of the first fraction, then multiply what you get by the denominator of the first fraction. If your final number equals the denominator of the second fraction, then the two fractions are proportional.
Let me demonstrate:
2/4 and 3/6
1. 3 ÷ 2 = 1.5
2. 1.5 × 4 = 6
3. 6 = 6
Therefore, these fractions are proportional.
Let's try another problem:
4/5 and 10/19
1. 10 ÷ 4 = 2.5
2. 2.5 × 5 = 12.5
3. 12.5 ≠ 19
Therefore, these fractions are not proportional.
Hope this helps!
What is the value of x?
Enter your answer in the box.
Answers
Answer:
X = 80°
Step-by-step explanation:
The total number of degrees in a triangle is 180°.
70° + 30° = 100°
180° - 100° = 80°
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
Answers
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:
https://brainly.com/question/20536565
What is the area, in square meters, of the shape below?
Answers
Answer:
Step-by-step explanation:
Danni walked 2 miles, and Wendi walked 10,500 feet. Which statement is accurate?
A) Wendi walked farther than Danni.
B) Danni walked farther than Wendi.
C) Danni walked twice as far as Wendi.
D) Danni and Wendi walked equal distances.
Answers
Answer:
B) Danni walked farther than Wendi.
Step-by-step explanation:
a mile is 5,280 feet. 5,280 + 5280 = 10,560
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Answers
Answer:
148 deger ❤❤❤❤❤❤❤❤❤❤
32 meter
Find the measure of the missing angles
Answers
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
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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?
Answers
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
Help please thank you so much!
Answers
g(1/4) = 5/(1/4) = 5 * 4 = 20
Solution: 20
Answer:
Answer: 20
Step-by-step explanation:
2^2-4=0.25
5/0.25=20