Homework help, one of the few I have

Homework Help, One Of The Few I Have

Answers

Answer 1

Answer:

x=11  solution is not extraneous

Step-by-step explanation:

sqrt( x-5) +7 = 11

Subtract 7 from each side

sqrt( x-5) +7-7 = 11-7

sqrt(x-5) = 4

Square each side

(sqrt(x-5))^2 = 4^2

x-5 = 16

Add 5 to each side

x-5+5 = 16+5

x = 21

Check

sqrt( 21-5) +7 = 11

sqrt(16) +7 =11

4+7 =11

11=11

Valid solution

Answer 2

Answer:

B)  x = 21, solution is not extraneous

Step-by-step explanation:

√(x - 5) + 7 = 11

(√(x - 5) + 7) - 7 = 11 - 7

√(x - 5) = 4

(√(x - 5))² = (4)²

x - 5 = 16

(x - 5) + 5 = 16 + 5

x = 21

The solution is not extraneous.  An extraneous solution is a solution that is not included in the domain.  For this equation the domain would be [-5, ∞).  The solution found is included in the domain


Related Questions

If h(x)=x-7and g(x)=x^2, which expression is equivalent to(g*h)(5)?

Answers

Answer:

(g*h)(5) is g(h)=x

Step-by-step explanation:

because if h(x)=x-7 and g(x)=x^2.

cos (x/2) = -sqrt2/2 in (0,360) looking for two values ?? Can someone please help me I can’t seem to figure out how to solve this problem, I’m looking at other examples but I’m still confused please help

Answers

Answer:

135° and 225°

Step-by-step explanation:

basically you want to find the value of x between 0 and 360 in this equation

cos x/2 = -(√2)/2

assume x/2 as n, so

cos n = -(√2)/2

n = 45°

then remember the quadrant system

0-90 1st quadrant, all is POSITIVE

90-180 2nd quadrant, only SIN has positive value

180 - 270 3rd quadrant, only TAN has positive value

270 -360 4th quadrant, only COS positive here.

so if you try to find negative value look into 2nd and 3rd quadrant that related 45° to x-axis (0°or 180°)

so the value of x is

180 - 45 = 135° (2nd quadrant) and

180 + 45° = 225° (3rd quadrant)

Solve for x
x/5 + 1 = 7​

Answers

Steps:

Step 1: Simplify both sides of the equation.

1 /5x+1=7

Step 2: Subtract 1 from both sides.

1/5x+1−1=7−1

1/5x=6

Step 3: Multiply both sides by 5.

5*(1/5x)=(5)*(6)

Description:

Since we are solving for x first steps is to Simplify both sides of the equation. Then subtract 1 from both sides. After that multiply both sides by 5 and you will get your answer. The correct answer for this question is x=30.

Answer: x=30

Please mark brainliest

Hope this helps.

The value of x from the given equation is 30.

The given equation is x/5 +1=7.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, x/5 +1=7

Transpose 1 to other side of the equation, we get

x/5 =7-1

x/5 = 6

Transpose 5 to other side of the equation, we get

x = 6×5

x = 30

Therefore, the value of x from the given equation is 30.

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YEAR 9 MATHS- PLEASE HELP
The shape A has been reflected on the line drawn to give shape B.
State the equation of the line.

Answers

Answer:

y=2

Step-by-step explanation:

since the line is horizontal, on the point 2 on the y axis, the equation is 2. If, however the line were to be diagonal, it would have been different, as would it if the line were vertical(in which case, the equated would start x =)

Hope this helps

Answer: y =2

Step-by-step explanation:

Dr.Chavez drew a rectangle on a coordinate plane to estimate the size of a lake. Each unit represents 1 mi. The coordinates of the rectangle are the origin, (0,7.65), (12.8, 7.65) and (12.8,0). Based on the information, what is the perimeter of the lake?

Answers

Answer:

40.9 mi

Step-by-step explanation:

The four points will make the rectangle, and each pair of points in sequence will create a side of the rectangle. So, to find the length of each side, we need to find the distances between each pair of points in sequence:

distance between (0,0) and (0, 7.65) -> |7.65 - 0| = 7.65 mi

distance between (0,7.65) and (12.8, 7.65) -> |12.8 - 0| = 12.8 mi

distance between (12.8, 7.65) and (12.8, 0) -> |0 - 7.65| = 7.65 mi

distance between (12.8, 0) and (0, 0) -> |0 - 12.8| = 12.8 mi

So the perimeter is 7.65 + 12.8 + 7.65 + 12.8 = 40.9 mi

Answer:

40.9 mi

Step-by-step explanation:

will make it simple and short

in a surveying measurements with coordinates, we always take it from the Zero. So each coordinates must be subtracted from Zero to get the length of each point.

therefore the perimeter = 0 + 7.65 + 12.8 + 7.65 + 12.8 + 0 = 40.9 mi

Simplify:
5x^3 + 4x^3

Answers

Answer:

9x^3

Step-by-step explanation:

5x^3 + 4x^3

Since these are like terms

x^3 (5+4)

9x^3

Answer:

[tex]9x^3[/tex]

Step-by-step explanation:

[tex]5x^3 + 4x^3[/tex]

Add the like terms.

[tex]=9x^3[/tex]

The names of 5 boys and 5 girls are in a hat. What is the probability of first drawing a girl’s name and then a boy’s name from the hat?

Answers

Answer:

9/20

Step-by-step explanation:

The probability of drawing a girl's name is 0.5, since there are 5 girls in 10 kids here.  If that girl's name is not replaced, then the probability of drawing a boy's name is 5/9, since there are still such names but the total number of names is now 9.

Thus, the probability of this joint event is (0.5)(9/10) = 4.5/10 = 9/20

Answer:

so drawing a girls name from the hat would be 5/10 since 5 girls are there out of 10 students in total. After, you pick the girls name the total number of student names would become 9 and since there are 5 guys, you get a 5/9 probability

-7/10+7/15+1/-20+-9/10+11/15+11/-20
what is the answer please help me .....!!!!

Answers

Answer:

-1

Step-by-step explanation:

-7/10+7/15+1/-20+-9/10+11/15+11/-20

= -7/10 + -9/10 + 7/15 + 11/15 + 1/-20 + 11/-20

= -16/10 + 18/15 + 12/-20

= -8/5 + 6/5 + -3/5

= (-8+6-3)/5

= -5/5

= -1

If g(x)=2x-1 and h(x)= swuare root x, find (g o h) (9)

Answers

Answer:

5

Step-by-step explanation:

To evaluate (g ○ h)(9), evaluate h(9) , then use this value to evaluate g(x)

h(9) = [tex]\sqrt{9}[/tex] = 3, then

g(3) = 2(3) - 1 = 6 - 1 = 5

Suck at maths! HELP!

Answers

Answer:

Step-by-step explanation: you can use a protractor if you have 1 or seeing as the bottom left is 65, the bottom right will be the same, mostly a guess but half 65 and try that.

A=50
Explanation as it is an isosceles triangle it ads up to 180
65+65=130
180-130=50

Find the area of the shaded region. Can I have the steps explained please?

Answers

Answer:

76.3 cm²

Step-by-step explanation:

step 1

area of circle= πr²= 3.14*5²= 78.6 cm²

step 2

area of 60° sector= 60/360*area of circle= 1/6*78.6= 13.1 cm²

step 3

Area of equilateral triangle = √3/4a²= √3/4*5²= 10.83 cm²

step 4

Area of circle - area of sector + area of triangle=  78.6 - 13.1 + 10.8= 76.3 cm²


I need help .... can y’all help me

Answers

6. C.

7. B.

8. B.

9. B.

10. C

Mary is paid 7.5% commission on all of her sales. She had sales of $2300 for the month of December. How much commission did Mary make?

Answers

Answer: $172.50

Step-by-step explanation:

$2300 x 0.075 = $172.50

You can double check quickly because you know 10% of 2300 is $230, so 5% is $115.  The answer is halfway between the 5% and 10% numbers, so you know it is reasonable.

Which value of x would make TV lI Q5?
3
8
10
11

Answers

Answer:

3

Step-by-step explanation:

because the TV is the wrong answer and

Please help with this question thank you!

Answers

Minimum 31 maximum 74 mean 56.3 median 52 range 43

What is the decimal multiplier to increase by 99%?

Answers

Answer:To work out the multiplier, first add or subtract the percentage from 100, then convert to a decimal. Example: we want to add 20% to £110. To work out the multiplier, add 20 to 100, to get 120, and then change it to a decimal (divide by 100) to get 1.2.

Step-by-step explanation:

The decimal multiplier of a number to increase by 99% will be 1.99.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

Let's consider the number x.

To increase it by 20% we need to find 20% of it so 0.20x

Now, add this 20% to x so that it will increase by 20% as,

0.20x + x = 1.20x

Thus,to increase the number by 20% we need to multiply 1.20

Similarly to increase a number by 99% we need to multiply with 1.99.

Hence "The decimal multiplier of a number to increase by 99% will be 1.99".

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What is the radius of the circle if it has a circumference of 153.86153.86153, point, 86 units.

Answers

Answer:

24.49 units

Step-by-step explanation:

The circumference of the circle is 153.86 units.

The circumference of a circle is given as:

C = 2 * pi * r

where r = radius of the circle

Therefore:

r = C / (2 * pi)

=> r = 153.86 / (2* pi) = 24.49 units

The radius of the circle is 24.49 units.

Answer:

24.49

Step-by-step explanation:

please trust me and make me brainliest :0

I do not understand this math.

Answers

BRUHHHHHHHHHHHHHHHHHGGGGG
Probably 11.25 I don’t know I think it’s wrong.‍♀️

How are the equations of a parabola, ellipse, and hyperbola created?

Answers

Answer:

ellipses and hyperbolas as a simple form has the x-axis as principal axis and the origin (0,0) as center. If it's a circle, c = 0 so a2 = b2. And for the parabola, the standard form has the focus on the x-axis at the point (a, 0) and the directrix the line with equation x = −a.

(I'm sorry I got most of this from google) :(

Which expression is equivalent to -36 – 8?
Choose 1 answer:

A.36 + 8
B.-36 + (-8)
C.8 – 36
D.-8+36

Answers

Answer is B I got it right on the test :)

Answer:B

Step-by-step explanation:

-36 – 8=-44

36+8=44

-36 + (-8)=-44

8 – 36=-28

-8+36=28

As you can see only B equals -44 just like the expression given,

Hope my explanation helps

Gisele worked as a carpenter for how many hours and worked as a blacksmith for how many hours last week? please help

Answers

Answer: She worked as a carpenter for 12 hours and a blacksmith for 18 hours.

Step-by-step explanation:

18*25 = 450

12*20 = 240

240 + 450 = 690

12 + 18 = 30.

The diameter of a bicycle wheel is 50 cm. How many complete rotations does it make over a distance of 3km?

Answers

Answer:

47.12388

Step-by-step explanation:

Wheel Diameter = Wheel 2 x Radius; 50 cm / 2 = 25 cm.

For one rotation of the wheel, the distance travelled = circumference of the wheel.

Circumference = 2 x pi x radius = 2 x 3.1415926858 x 25 cm = 157.07 cm approx.

Distance travelled with 30 turns of the wheel = 30 x 157.07 = 4712.39cm approx.

Distance in meters = 4712.39cm / 100 = 47.12388 meters approximate (1 cm = 1/100th of a meter).

hope it helps you

The requried bicycle wheel makes approximately 1910 complete rotations over a distance of 3 km.

What is the circumference?

The circumference of the bicycle wheel is equal to its diameter multiplied by π (pi).

Here

Circumference = diameter x π = 50 cm x 3.14 ≈ 157 cm

To find the number of rotations, we need to divide the distance traveled by the circumference of one rotation:

Number of rotations = Distance ÷ Circumference

Number of rotations = 300000cm ÷ 157 cm = (3000 m ÷ 157 cm) ÷ (100 cm ÷ 1 m) = 1910.82

Therefore, the bicycle wheel makes approximately 1910 complete rotations over a distance of 3 km.

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Simply the expression [tex]\frac{x-7}{3} - \frac{5-x}{2}[/tex]

Answers

Answer: [tex]\frac{5x-29}{6}[/tex]

Step-by-step explanation:

To simplify the equation, we can just subtract the 2 fractions. First, we need to make sure they have a common denominator.

[tex]\frac{2(x-7)}{6} -\frac{3(5-x)}{6}[/tex]

Now that the fractions have the same denominator, we can distribute the numerator and subtract.

[tex]\frac{2x-14}{6} -\frac{15-3x}{6} =\frac{2x-14-15+3x}{6} =\frac{5x-29}{6}[/tex]

which expression is equivalent to 7/12?

Answers

if i understand correctly what you mean by this question the answer could be

14/24

28/48

you can just keep multiplying the top and the bottom by the same number to get an equivalent fraction

im sorry if i understood the question wrong, i hope this helped a little bit

Disclaimer: The options are missing. The options to the question are:

A.7x1/12; B.7/7x12/12; C.1/7x7/12; D.12x1/7

The expression equivalent to 7/12 is 7x1/12. So, option A. is the right choice.

What are equivalent fractions?

Two fractions are said to be equivalent fractions when they both give the same value in their reduced or simplest form.

How do we solve the given question?

We are asked to find the expression equivalent to 7/12 from the given options.

To solve the question, we reduce all the options to their simplest form. The option = 7/12 will be our answer.

A. 7 * 1/12 = 7/12B. 7/7 * 12/12 = 1*1 = 1C. 1/7 * 7/12 = 1/12D. 12 * 1/7 = 12/7

As we can see only option A. 7 * 1/12 = 7/12 in its simplest form, so it is the right option.

Learn more about equivalent fractions at

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If a shape is cut ______ to the base, then the cross section looks just like the base

Answers

Answer:

Triangle

Step-by-step explanation:

Answer:

perpendicular

Step-by-step explanation:

The day after her birthday party 1/3 of Emma’s birthday cake is left is the remaining cake is shared equally among Emma her brother Owen and their mother and father what fraction of the original Kikoo each of them get

Answers

Answer:1/4

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

1/3 ÷ 4

1/3 x 1/4 = 1/12

The interior angles of a triangle are 42°,56° and 2x°. Find the value of x.

Answers

Answer:

41 degrees

Step-by-step explanation:

Since the sum of the interior angles of a triangle will always be 180 degrees:

42+56+2x=180

2x=82

x=41

Hope this helps!

Answer:

X=41°

[tex]solution \\ 42 + 56 + 2x = 180(sum \: of \: angle \: in \: triangle) \\ or \: 98 + 2x = 180 \\ or \: 2x = 180 - 98 \\ or \: 2x = 82 \\ or \: x = \frac{82}{2} \\ x = 41[/tex]

hope this helps...

Good luck on your assignment...

Four different positive integers have a product of 110.
What is the sum of the four integers?

Answers

Answer:32.09

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

To Find Out What are the four Positive Integers, Let's Prime Factorize 110:

110 = 1 × 2 × 5× 11

This means these are the four positive integers by multiplying which results in 110.

Now, The sum of these integers:

=> 1+2+5+11

=> 19

Since slope is calculated using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction, the slope of both lines is equivalent to ________. It is given that the lines are parallel, and we calculated that the slopes are the same. Therefore, parallel lines have the same slopes.

Answers

Answer:

The product of these slopes is [(d-b)/(c-a)] × [(c-a)/(-d+b)] = -1

Proved: This product shows that the slopes are negative reciprocals

Question:

The complete question as seen on brainly ( question ID = 13270010):

Determine the missing information in the paragraph proof.

Given: Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).

Prove: The slopes of perpendicular lines are negative reciprocals.

The slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction

The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.

Step-by-step explanation:

Line PQ contains the points (a, b) and (c, d)

Line P’Q’ contains the points (–b, a) and (–d, c)

The two lines are said to be perpendicular.

For two lines are said to be perpendicular, the product of the slope of the two lines must be equal to -1.

Let's determine if it's true for this two lines.

Find attached the the diagram and explanations.

The product of these slopes is [(d-b)/(c-a)] × [(c-a)/(-d+b)] = -1

This product shows that the slopes are negative reciprocals

Answer:5

Step-by-step explanation:

factorise 32 x cube minus 8 y square​

Answers

Answer: [tex]8(4x^3-y^2)[/tex]

Step-by-step explanation:

[tex]32x^3-8y^2[/tex]

[tex]8(4x^3-y^2)[/tex]

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