Is b perpendicular to a? Justify your answer.

Is B Perpendicular To A? Justify Your Answer.

Answers

Answer 1

Set up the equation: 2x+37+3x+y=180 ⇒ 4x+y=143

2x+y+3y-21=180 ⇒2x+4y=201.

Solving for x and y, you get that y=37, thus making x=26.5


Now, for b to be perpendicular to a, 2x+37 must equal 90.

2*26.5+37=90, so b is perpendicular to a.


Answer 2
Final answer:

Whether 'b' is perpendicular to 'a' is determined by their dot product. If the dot product of 'b' and 'a' is zero, then 'b' is perpendicular to 'a'. However, without knowing the specific components of these vectors, a precise computation can't be made.

Explanation:

In mathematics, particularly in vector algebra, vectors are said to be perpendicular or orthogonal if their dot product is zero. This is because the dot product of two vectors encapsulates the angle between them, defined as A·B = |A||B|cos(θ), where θ is the angle. If θ is 90 degrees (indicating the vectors are perpendicular), cos(θ) becomes 0, thus the dot product should be zero.

Therefore, to determine whether 'b' is perpendicular to 'a', we need to compute their dot product. If their dot product equals zero, then we can conclusively say that 'b' is perpendicular to 'a'. Beyond this, you'd need to provide the components of vectors 'a' and 'b' for a specific computation.

Learn more about Perpendicular Vectors here:

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Related Questions

Adena used a qualateral in her ary design. The quadrlateral has no sides ,and only one pair of opposite sides parallel what shape of the quadrileteral she used

Answers

Answer: The quadrilateral used here is a trapezium.




can you please help me i really need help.

Answers

I am pretty sure it is C

Which option below best describes the polynomial 10x3 ?

Question 1 options:




third degree polynomial with two terms




first degree polynomial with three terms




third degree monomial




third degree binomial

Answers

It is a 3rd degree monomial, meaning it has only one term.

Hope I helped!

Graph the following line by plotting the x and y intercepts: 5x – 3y = 15. SEE ATTACHMENT

Answers

use symbolab graphing app! or photomath. or any of these apps i use

59 points - 12 points whats your grade

Answers

Answer:

59-12 would be 47 points and by all means you would have an F

Step-by-step explanation:

59-12=47


Ms. Smith spent 7 hours driving from her home to Albany, a distance of 238 mi. Before noon, she averaged 32 mph. After noon she averaged 39 mph. Find the number of hours she traveled at each rate of speed.

Answers

ANSWER

She averaged at 32 mph for 5 hours and 39 mph for 2 hours.


EXPLANATION

Let
[tex]x[/tex]
be the number of hours she travelled before noon and
[tex]y[/tex]
be the number of hours she travelled after noon.


Then since she travelled for a total of 7 hours, we can write the equation,

[tex]x + y = 7.....eqn(1)[/tex]



We were also given that, before noon,she averaged at 32 mph.


We know that,


[tex]speed = \frac{distance}{time \: taken} [/tex]

Let
[tex]d_1[/tex]
be the distance before noon.


[tex]\Rightarrow \: 32 = \frac{d_1}{x} [/tex]
This implies that,

[tex]d_1 = 32x[/tex]


Also let the distance she covered after noon be,

[tex]d_2[/tex]

Then,

[tex] 39 = \frac{d_2}{y} [/tex]
This implies that,

[tex]d_2 = 39y[/tex]

Since she covered a total distance of 238 miles, we can write the equation,
[tex]d_1 + d_2 = 238[/tex]

This means that,

[tex]32x + 39y = 238....eqn(2)[/tex]



We multiply equation by 32 to get,


[tex]32x + 32y = 224...eqn(3)[/tex]


Equation (2) minus equation (3), will give us,

[tex]7y = 14[/tex]


This implies that,
[tex]y = 2[/tex]

We substitute the value of y into equation (1) to get,

[tex]x + 2 = 7[/tex]

[tex]x = 7 - 2[/tex]

[tex]x = 5[/tex]

We can now conclude that she averaged at 32 mph for 5 hours and 39 mph for 2 hours.

A pizza delivery shop averages 30 minutes per delivery with a standard deviation of 4 minutes. What is the probability that a pizza takes less than 27 minutes to be delivered

Answers


[tex]30 - 4 = 26[/tex]

f(x) = √(3 - x)
f(-1) =

A) 1

B) 2

C) undefined

D) √2

Answers

Answer:

B

Step-by-step explanation:

To find the value of f(x) at x=-1, we substitute x=-1 and simplify.

[tex]f(-1)=\sqrt{3-(-1)}=\sqrt{3+1)} =\sqrt{4}  =2[/tex]

f(-1)=2.

Answer B.

Answer:

b

Step-by-step explanation:

Bobby jo made 60 holiday cookies. 4/5 of the cookies are for her teachers and the rest are for her family .How many cookies are for Bobbie jo family

Answers

Answer:

12

Step-by-step explanation:

60 divided by 5 is 12, so Bobby jo would give her teachers 48 and 12 to her family

Final answer:

To find the number of cookies for Bobby Jo's family, subtract the number of cookies for her teachers from the total number of cookies she made.

Explanation:

To find the number of cookies for Bobby Jo's family, we need to subtract the number of cookies for her teachers from the total number of cookies she made. Bobby Jo made 60 holiday cookies and 4/5 of these are for her teachers. To calculate the number of cookies for her teachers, we multiply 60 by 4/5:

Number of cookies for her teachers = 60 x 4/5 = 48 cookies

Since the rest of the cookies are for her family, we subtract the number of cookies for her teachers from the total number of cookies to find the number of cookies for her family:

Number of cookies for her family = 60 - 48 = 12 cookies

What can be concluded about a pair of triangles with some congruent corresponding parts? Select all that apply.

The two triangles are always congruent.
The two triangles are never congruent.
The two triangles are sometimes congruent.
A conclusion cannot be made based on the given information.

Answers

Answer:

A conclusion cannot be made based on the given information.

Step-by-step explanation:

Take an example of such two triangles where we are given the information that two sides are congruent and an angle that is not enclosed is congruent. These two particular triangles may or may not be congruent. However, they either are or are not - that does not change in time, so the third answer  "Two two triangles are sometimes congruent" is non-sense. The only remaining and correct option is the fourth one: conclusion on congruency cannot be made.

Answer:

The answer The two triangles are sometimes congruent.

Step-by-step explanation:

If triangle ABC is congruent to triangle XYZ, then which of the following is congruent to segment XY? (5 points)

segment AB
segment BC
segment CA
segment YZ

Answers

Answer:

Segment AB!

hope this helps

Step-by-step explanation:


Answer:

Segment XY≅  segment AB.

Step-by-step explanation:

Given : ABC is congruent to triangle XYZ.

To find : which of the following is congruent to segment XY.

Solution : We have given that triangle ABC ≅ ΔXYZ.

By the congruent rule of triangle  : congruent triangle have congruent corresponding sides .

So. side AB ≅ XY

Therefore, Segment XY≅  segment AB.

What is the equation of the height of a roller coaster that is 30 feet above the ground, is in a shape of a half circle and the general form of a circle with the center at the origin is x2 +y2 = r2?

Answers

Answer: [tex]\bold{y = \sqrt{900-x^2}}[/tex]

Step-by-step explanation:

The general form of a circle is: (x - h)² + (y - k)² = r² ; where

(h, k) is the centerr is the radius

Since the roller coaster is centered at the origin, then (h, k) = (0, 0)

Since the height of the roller coaster is 30, then radius (r) = 0

Equation of the circle is: (x - 0)² + (y - k)² = 30²

⇒ x² + y² = 900

To find the equation of the semicircle, solve for "y"

x² + y² = 900

      y² = 900 - x²

      [tex]\sqrt{y^2}=\sqrt{900-x^2}[/tex]

      [tex]y = \pm\sqrt{900-x^2}[/tex]

Since we are looking for the top half of the semicircle (because it is above ground), then use the positive root:  [tex]y = \sqrt{900-x^2}[/tex]

Answer:

x^2+y^2=900Step-by-step explanation:

1.Write the equation that models the height of the roller coaster.

x^2+y^2=30^2

2.Start by writing the equation of the circle. (Recall that the general form of a circle with the center at the origin is x2 + y2 = r2. (10 points)

x^2+y^2=900

3.Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root. (10 points)

y= √(900-x^2)

HELP AND JUSTIFY UR THINKINg!!

Answers

This seems tricky, but if B can equal anything except 0, can B be anything on the x plane except 0. Meaning you can pick a number that you would justify. Let's say you picked x=2, it still fits the constraints and will connect with point A. (hoped this helped!)

We don't know anything about the x coordinate of point B other than it cannot be zero (which is what the slash through the equal sign means). You can pick any value you want for x as long as it's not zero. So I'm going to pick x = 1. Point B is located at (x,y) = (1,-7)

Find the slope of the line through A(-5,5) and B(1,-7). Use the slope formula

m = (y2 - y1)/(x2 - x1)

m = (-7-5)/(1 - (-5))

m = (-7-5)/(1 + 5)

m = (-12)/(6)

m = -2

Use this slope value with (x,y) = (-5,5) to find the y intercept b

y = mx+b

y = -2x + b

5 = -2(-5) + b

5 = 10 + b

5-10 = 10+b-10

-5 = b

b = -5

So y = mx+b turns into y = -2x-5 which is the equation of the line through the two points A(-5,5) and B(1,7). The graph is shown below.

note: this answer will be different if you pick a different x coordinate for point B

Which number(s) are 6 units from zero on a number line?

-6
12
6
3

Answers

Answer: 6 and -6


Step-by-step explanation:

6 Is the distance from zero, since distance cannot be negative, it does not matter if we go left or right on the number line, it will still be 6 units away from zero.

The numbers 6 units from zero on a number line are -6 and 6. These numbers are at an equal distance from zero but in opposite directions, with -6 being on the left (negative side) and 6 on the right (positive side) of zero.

The numbers that are 6 units from zero on a number line are -6 and 6. Both of these numbers are at an equal distance from zero, but in opposite directions. The number -6 is to the left of zero, representing a negative value, and the number 6 is to the right of zero, representing a positive value.

Therefore, the correct answers are -6 and 6.

The numbers 12 and 3 mentioned in the question are not 6 units from zero; 12 is much farther than 6 units away, and 3 is closer than 6 units to zero.

The perimeter of a rectangle is 26 meters. The difference between the length and the width is 5 meters. Find the width

Answers

Try making a substitution:

Match the equation with its graph -3x+5y=15

Answers

It’s neither cuz it has a positive slope of 3/5

Answer:

The fourth graph.

Step-by-step explanation:

The best way to do this is to first convert the equation to slope-intercept form. Then it is easy to see the slope and y intercept.

-3x  + 5y = 15

5y = 3x + 15

y   =  3/5x  + 3  is slope intercept form.

The slope is 3/5 and the y-intercept is at y = 3.

It is the fourth graph.



Every bike at a sports store is on sale for 25% off the regular price. About how much would a bike cost that regularly sells for $145?

Answers

Answer:

The bike will cost $108.75

Step-by-step explanation:

In order to find the amount, you must multiply the cost by the percentage being paid. Since the mark down is 25%, you are paying 75% of the overall cost. So multiply 75% by $145.

75% * $145 = $108.75

Mrsjones has 1 4/8 pizza left after giving some to Greg she had 7/8 left how much did Greg take

Answers

Answer:

5/8

Step-by-step explanation:

well we 1 14/8 so lets turn that to a whole number which is 12/8 (you multiply the denominator by 1 and add the 4)

12/8 - 7/8 =  5/8    ( since both denominators are the same numbers you can simply subtract the numerator )

The zoo has 218 animals in the outdoor exhibits and 454 animals in the indoor exhibits. Estimate how many animals the zoo has by rounding each number to the nearest tenth.

Answers

Answer:

670 animals

Step-by-step explanation:

First, round both numbers to the nearest ten. Remember that the numbers 4 and under round down (e.g. 143 = 140) and the numbers 5 and above round up (e.g. 145 = 150).

218 = rounds up = 220

454 = rounds down = 450

Finally, add the rounded numbers together.

220 + 450 = 670

The zoo has approximately 670 animals.

Final answer:

To estimate the total number of animals at the zoo, round the number of animals in the outdoor and indoor exhibits to the nearest tenth and add them together for the estimation.  The estimated total number of animals at the zoo is 670

Explanation:

The zoo has 220 animals in the outdoor exhibits and 450 animals in the indoor exhibits.

To estimate the total number of animals, you need to round each number to the nearest tenth:

Round 218 to the nearest tenth: 220

Round 454 to the nearest tenth: 450

By rounding, the estimated total number of animals at the zoo is 670.

Phillip bought apples from the grocery for $2.20 per pound. If he had bought 2.5 pounds of apples on Monday and 1.2 pounds of apples on Tuesday, how much did he spend on apples in total?

Answers

Answer:

8.14$

Step-by-step explanation:

each pound is for 2.20

2.5 x 2.20 = 5.50$ on Monday

1.2 x 2.20 = 2.64$ on Tuesday

5.50 + 2.64 = 8.14$ in total

Karl drove 617.3 miles. For each gallon of gas the car can travel 41 miles.Select a reasonable estimate of the number of gallons of gas karl used.

Answers

Time for fractions!!!

I’m going to set a rate of miles per gallon and then cross multiply to get me answer.

41miles/gallon = 617.3/xgallons

617.3 multiplied by 1 and then divided by 41 = about 15.05 gallons

A reasonable estimate then is 15 and a half gallons, because rather than measuring down to the hundredths, the next closest and reasonable measurement is 15 and a half or under.

Comment if you don’t understand and I’ll try to help.

Select the correct answer. A moving company charges $115 to rent a truck for a three-day period, plus an additional $0.83 for each mile driven. The average cost per mile for a three-day period is given by the rational expression , where x is the number of miles driven during the rental period. What does the numerator of the rational expression represent?

Answers

Answer:The numerator represents the total cost for renting the truck over a three-day period.


Step-by-step explanation:


Answer:

The numerator of the rational expression represents:

Total cost of the truck when it is rented for a three day period.Step-by-step explanation:

x represent the number of miles driven during the rental period.

Also, the fixed charge of the truck when it is rented for a three day period is: $ 115

The charge per mile is: $ 0.83

This means when the car is driven x miles in three day period then the cost is: $ 0.83x

Total cost of the truck in the rental period is: 115+0.83x

This means that the  average cost per mile for a three-day period is :

Ratio of total cost of truck to the number of miles driven.

i.e.

[tex]Average\ cos\ per\ mile=\dfrac{115+0.83x}{x}[/tex]

Hence, the numerator represent Total cost of truck during the rental period.

Solve for y.


y =

Picture in the attached , might have to zoom in

Answers

Answer:


Step-by-step explanation:

This is an equilateral triangle, 3 equal sides and 3 equal angles (60°)

so angle C is 60°

you can solve qith an equation

8y - 4 = 60

8y = 60 - 4

8y = 56

y = 56 : 8

y = 7

-------------------

check

8y - 4 = 60

(8 * 7) - 4 = 60

56 = 60 - 4

56 = 56

the answer is good


What are the first three terms of the sequence defined by the following equation?

an = 6+(n- 1)(-4).

Answers

Answer:

A

Step-by-step explanation:

First term = 6 + (1 -1)(-4) = 6 + 0 = 6.

2nd term = 6 + (2 - 1)(-4) = 6 + (-4) = 2.

a3 = 6 + (3 - 1)(-4) =  6 + (-8) = -2.


Its Choice A.

[tex]a_n=6+(n-1)(-4)=6+(n)(-4)+(-1)(-4)=6-4n+4=10-4n[/tex]

Put n = 1, n = 2 and n = 3 to the equation:

[tex]a_1=10-4(1)=10-4=6\\\\a_2=10-4(2)=10-8=2\\\\a_3=10-4(3)=10-12=-2[/tex]

Answer: A. 6, 2, -2.

Bobby hopes that he will someday be more than 70 inches tall he is currently 61 inches tall how many more inches, x,does Bobby need to grow to reach his desired height

Answers

[tex]70 - 61 = 9[/tex]
10 more inches to be more than 70 inches

18. What is the quotient of A. 2y ? 17y R ?70 B. 2y ? 17y R 70 C. 2y + 3 D. 2y ? 3

Answers

Answer:

you need to provide the statement

Step-by-step explanation:


Plz help! 25 points!

10. Soda is on sale for $0.75 a can, and you have a coupon for $0.50 off your total purchase. Write a function rule for the cost of n sodas. How much would 10 sodas cost?

A. C(n) = 0.5n - 0.75; $4.25
B. C(n) = 0.75n - 0.5; $7.00
C. C(n) = 0.5n - 0.5; $4.50
D. C(n) = 0.75n; $7.50

12. The function b(n) = 6n represents the number of light bulbs b(n) that are needed for n chandeliers. How many lightbulbs are needed for 15 chandeliers?

A. 90 lightbulbs
B. 2 lightbulbs
C. 96 lightbulbs
D. 80 lightbulbs

Answers

Answer:

10.: B. C(n) = 0.75n - 0.5; $7.00

12.: A. 90 light bulbs

Step-by-step explanation:

10. One soda costs 0.75. n sodas cost 0.75n. Then you subtract the coupon amount, so you pay 0.75n - 0.5.

The cost function is:

C(n) = 0.75n - 0.5

The cost of 10 sodas is:

For 10 sodas, n = 10.

C(10) = 0.75 * 10 - 0.5

C(10) = 7.5 - 0.5

C(10) = 7

Answer: B. C(n) = 0.75n - 0.5; $7.00

12. b(n) = 6n

The number of chandeliers is n.

If n = 15, then you have:

b(15) = 6 * 15

b(15) = 90

Answer: A. 90 light bulbs

Answer:

 10.   B. C(n) = 0.75n - 0.5; $7.00

12 A. 90 lightbulbs

Step-by-step explanation:

10.  Cost of the purchase = number of cans * cost per can - coupon

We know the cost per can is .75 and the coupon is a one time coupon for .50

                            C(n)                = n * .75 - .5

If we let n=10 to buy 10 cans

C(10) = 10*.75 -.50

          = 7.50 - .5

          = 7.00  is the cost of 10 cans


12.  b(n) = 6n   where n is the number of chandeliers

                       b(n) is the number of light bulbs

If we have 15 chandeliers how many light bulbs do we need?

b(15) = 6*15 = 90

We will need 90 light bulbs



Nina buys a used car from Leon’s Used Cars and pays a $500 down payment and $299 per month for 48 months. The cash price is $12,500.00. How much interest does Nina pay if she chooses NOT to pay the cash price?

Answers

Answer:

The interest is $1852

Step-by-step explanation:

We are given

down payment = $500

$299 per month for 48 months

per month installment =$299

total months =48

total amount paid = (per month installment)*( total months)

now, we can plug values

total amount paid is

[tex]=299\times 48[/tex]

[tex]=14352[/tex]

total amount paid is $14352

The cash price is $12,500.00

so,

interest = (total amount paid)-( cash price)

so, interest is

[tex]=14352-12500[/tex]

[tex]=1852[/tex]


A point on the unit circle lies on the terminal side of an angle in standard position in Quadrant III .

Select from the drop-down menus to correctly complete each statement.



The cosine of the angle is . Negative or Positive

The sine of the angle is . Negative or Positive

Answers

In Quadrant III, tangent is positive; both sine and cosine are negative. A helpful acronym for each quadrant is All Students Take Calculus (All positive in I, Sine in II, Tangent in III, Cosine in IV).

The cosine of the angle is Negative.

The sine of the angle is Negative.

The given angle's terminal side resides in the third quadrant.

In the first quadrant, all trigonometric ratios are positive.

In the second quadrant, only sine and cosecant are positive.

In the third quadrant, only tangent and cotangent are positive.

In the fourth quadrant, only cosine and secant are positive.

In the third quadrant, both sine and cosine of given angle are negative.

Thus, the cosine of the given angle is Negative and

the sine of the given angle is Negative.

Learn more here:

https://brainly.com/question/24236629

Graph the following inequality and then select the correct graph below. x + 2 ≥ 1

Answers

Answer:

I've done this on Odyssey Ware and it's the second graph

Hope This Helps!      Have A Nice Day!!

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