Find an equation of the plane through (-1,4,-3) and perpendicular to the line x-2=t , y+3=t , z=-t​

Answers

Answer 1

Answer:

  x + y -z = 6

Step-by-step explanation:

The equation of the line can be rewritten as ...

  (x, y, z) = (2, -3, 0) +t(1, 1, -1)

The direction vector of the line tells you the coefficients of the variables in the equation of the plane. The constant in that plane equation will be the value required to make it pass through the given point.

  x + y - z = (-1) +(4) -(-3)

  x + y - z = 6 . . . . equation of the plane


Related Questions

Find the area of this parallelogram

Answers

Answer:

260

Step-by-step explanation:

A=bh

A=13 x 20

A=260

Need an answer here please

Answers

Answer:

Option 4:  A ║B

Step-by-step explanation:

Given the following statements:

[tex]\displaystyle\mathsf{\overline{X}}[/tex] is ⊥ [tex]\displaystyle\mathsf{\overline{A}}[/tex]

[tex]\displaystyle\mathsf{\overline{X}}[/tex] is ⊥ [tex]\displaystyle\mathsf{\overline{B}}[/tex]

We can apply the Lines Perpendicular to a Transversal Theorem, which states that if two lines intersect and are perpendicular to that same transversal, then those two lines are parallel.  

In the given conditional statement, [tex]\displaystyle\mathsf{\overline{X}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{A}}[/tex]  and  [tex]\displaystyle\mathsf{\overline{X}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{B}}[/tex], line [tex]\displaystyle\mathsf{\overline{X}}[/tex] is the transversal that cuts through both lines  [tex]\displaystyle\mathsf{\overline{A}}[/tex] and [tex]\displaystyle\mathsf{\overline{B}}[/tex].  

Therefore, lines  [tex]\displaystyle\mathsf{\overline{A}}[/tex] and [tex]\displaystyle\mathsf{\overline{B}}[/tex] are perpendicular to line [tex]\displaystyle\mathsf{\overline{X}}[/tex].  Hence, by the Lines Perpendicular to a Transversal Theorem,  [tex]\displaystyle\mathsf{\overline{A}}[/tex][tex]\displaystyle\mathsf{\overline{B}}[/tex].  

“find the measure of angle A” whats the answer for both of them?

Answers

Answer:

  255) 36°

  257) 30°

Step-by-step explanation:

The sum of the angle measures in a triangle is 180°.

__

255)

(x +43) +(x +77) +74 = 180

2x = -14 . . . . . . . . . . . subtract 194

x = -7

∠A = -7 +43 = 36°

__

257)

5x +(3x +2) +130 = 180

8x = 48 . . . . . . . . . . . . . . subtract 132

x = 6

∠A = 5·6 = 30°

Can someone please help with this?

Solve the equation p2 + 14p = 32 by completing the square method (and need to show work)

Answers

Answer:

p=2,-16

Step-by-step explanation:

move all terms to left side and set equal to zero. then set each factor equal to zero

A chi-squared curve is symmetric about 0

Answers

Answer:

The answer is false

Step-by-step explanation:

Unlike any symmetric distribution, the chi-square distribution is non-symmetric. Accordingly, this statement cannot be trusted—b.

As chi-square does not depend on all degrees of freedom, it is a non-symmetric distribution that excludes symmetric data.

Please look for the question in the picture.

Answers

it will be c

as

negative with negative erased together

25 Points please help!!!

Answers

Answer:

The one you clicked on in the picture is correct

Step-by-step explanation:

By elimination you can tell that it is the bottom two answers (+3 is inverse of -3). And it is the answer you selected because it cube roots whats in parentheses. So you are correct with the answer you have selected right now

Find m

K
M
L
∠KML.

Answers

Answer:

  35°

Step-by-step explanation:

The base angles of an isosceles triangle are congruent. The sum of angles in a triangle is 180°, so we have ...

  2M +110 = 180

  2M = 70

  M = 35

The measure of angle M is 35°.

If a square has a side of 4', what would the area be?
A= s2=sxs
A= 42= 4'x4
A= 16 sq. ft.

Answers

Answer:

16 sqft.

Step-by-step explanation:

A=L(W)

A=4(4)

A=16

Hope that helps

Help hep help help math math

Answers

Answer:

-2

Step-by-step explanation:

the input, or domain is always replacing x

y=-2x+6

y=-2(4)+6

y=-8+6

y=-2

Wheel Fun offers rentals of paddle boats that can be enjoyed by 2 or 3 riders. The price for renting a paddle boat is $15 for each hour. Customers must also pay a $20 deposit on the rental. Write an equation that can be used to determine the price, y for renting a paddle boat for x, hours?

Answers

Answer:

15+20=35+15 And then add an additional plus 15 for each hour

Step-by-step explanation:

1985 x 99 I already know the answer: 196515

Answers

Answer:

196515

Step-by-step explanation:

Solve for x: x /6−y/3= 1
SHOW WORK

Answers

[tex]\dfrac x6 - \dfrac y3 =1\\\\\\\implies \dfrac x6 - \dfrac{2y}6 = 1\\\\\\\implies \dfrac{x-2y}6 =1\\\\\\\implies x -2y =6\\\\\\\implies x =6+2y\\\\\\\implies x = 2(3 +y)[/tex]

Alexandra was out at a restaurant for dinner when the bill came. She wanted to leave a tip of 13%. What number should she multiply the cost of the meal by to find the total plus tip in one step?

Answers

Answer:

x = Total meal cost

y = Total cost-plus tip

113% * x  =  y

the marked price of a table fan is Rs 1400 and 10% discount is allowed on it. Find it's cost with 15%VAT.​

Answers

Answer:

marked price=1400

discount=10%

VAt= 15%

selling price=?

Now

we know that,

sp= mp - discount%of mp

1400- 10% of 1400

1400 - 10÷100* 1400

1400

Solve the quadratic equation by using a numeric approach.

0.02x squared + 0.5x - 4 = 0

a. x = 1.3 and x = -23.2
c. x = 5.6 and x = -32.3
b. x = 2.8 and x = -20.5
d. x = 6.3 and x = -31.3

Answers

The solution to the quadratic equation by using a numeric approach

are x = 6.3 and x = -31.3

Given the quadratic function expressed as;

0.02x²+ 0.5x - 4 = 0

Multiply through by 100 to have;

2x² + 50x - 400 = 0

Using the general formula to solve:

x = -50±√2500-4(2)(-400)/2(2)

x = -50±√2500+3200/4

x = -50±75.49/4

x = -31.3 or 6.3

Hence the solution to the quadratic equation by using a numeric approach

are x = 6.3 and x = -31.3

Learn more on quadratic function here: https://brainly.com/question/25841119

Can anyone help with this?

Answers

MARK ME BRAINLEST

The third one 3
Hope it help

Steve checked out a book and a video from the local library. They were three days overdue when he returned them. The fine was 15 cents for each day the book was overdue, and 25 cents for each day the video was overdue. How much did Steve owe?​

Answers

Answer:

1.20 or 120 cents

Step-by-step explanation:

First, we need to calculate the total due for the book. 15 cents(3 days) = 0.45

Next, we need to calculate the total due for the video. 25 cents(3days) =0.75

0.75+0.45=1.2 dollars, or 120 cents

Find the volume of the prism. Round to the nearest tenth.

Answers

Answer:

A: 437.1 cm³

Step-by-step explanation:

You find the area of the prism by the base of the prism & height multiplied together.

Here, the base of the prism is a triangle.

All the triangles sides are given, so lets lave them: A:8, B:8, and C:10.

Using SSS, we can find the area, which is ≈ 31.1.

If we multiply that number by 14.

We get he area of the prism.

Depending on how your rounded, the area of the prism is:

≈437.2, which is close enough to know that the asswer is A: 737.1 cm³

Hope this helped <3

HELP BRAINLY PPLS!!! Identify the transformation that was applied to this boomerang.

A.Translation

B.Rotation about the origin

C.Reflection over the x-axis

D.Reflection over the y-axis

Answers

Answer:

B should be the answer because it did rotate and the origin is in the middle 0,0 which it look like to me it is on.

pls help. I dont really understand these problems. fraction area and perimeter

Answers

Answer:

Perimeter: 14 9/10 cm

Area: 11 7/10 cm^2

Step-by-step explanation:

First, you must find the perimeter of the rectangle. The definition of perimeter in terms of mathematics are: the continuous line forming the boundary of a closed geometric figure. To find the perimeter of any shape, you must add up all the sides. Thus:

2 1/4 + 2 1/4 + 5 1/5 + 5 1/5 = ?

To put it simpler -

2(2 1/4 + 5 1/5) =

4 5/10 + 10 4/10 =

14 9/10 cm

Then, you must find the area of the rectangle. The definition of the area are: the extent or measurement of a surface or piece of land. In other words, the amount of space an object takes up. You must multiply the length and width of the rectangle to find the area.

Formula of area:

A = L x W

A = 2 1/4 x 5 1/5

A = 9/4 x 26/5

A = 234/20

A= 11 7/10 cm^2

To sum it up, the perimeter of the rectangle is 14 9/10 cm and the area 11 7/10 cm^2.

What is the answer to the question. Solve for x

Answers

Answer:

Answer:

[tex]x=\frac{75}2[/tex]

Step-by-step explanation:

Give letters, as in the attached image.

The triangles ABE and CDE are similars (AAA). In particular [tex]AE:CE=BE:DE \rightarrow 46:30=(x+20):x \rightarrow 46x=30(x+20) \rightarrow 23x=15x+300 \rightarrow 8x=300\rightarrow x=\frac{75}2[/tex]

4x+6<-6 how to solve

Answers

Answer:

The answer is below.

Step-by-step explanation:

4x<-6-6

4x<-12

x= -3

Inequality form:

x< -3

Interval Notion:

(-8,-3)

Note: Turn the -8 on the sideways on the right, because its not 8.

Answer: x < -3

Step-by-step explanation: 4x+6=-6

                                                   -6  -6

                                                     4x/4      -12/4

                                                            x<-3

There are two types of packages that are available for hotel stay

- you can use the hotel unlimited for $500 a month

- Or you can spend $50 a day per visit.

Enter an equation that can be used to find the number of visits per month needed for the two packages to cost the same amount

Answers

Answer:

for one month 500$

for daily visit 50$

500$=50$*x days

x days=500$/50$

x days = 10 days

10 days of daily visits costs 500$ equal to one month

Put the following equation of a line into slope-intercept form, simplifying all fractions. 6y+4x=-12

Answers

Step-by-step explanation:

6y +4x=-12

6y=-4x-12

y= -4/6x -12/6

y= -2/3x -2

How much water do you need to add to make each concentration?
1% sugar syrup using 12 g sugar

Answers

Answer:

1188 grams of water

Step-by-step explanation:

x is the grams of water

so total is 12+x grams

sugar/total is 12/12+x

and 1% ratio is 12/12+x=1/100

so x would be 1188 grams of water.

Answer:

1188

Step-by-step explanation:

Start with the part and whole proportion

[tex]\frac{12}{?} =\frac{1}{100}[/tex]

multiply the one by 12 and 100 by 12

[tex]\frac{12}{1200} =\frac{1}{100}[/tex]

now subtract 12 from 1200

then you get 1188.

I hope this helps :))

Compare the investment below to an investment of the same principal at the same rate compounded annually.

principal: $1,000, annual interest: 6%, interest periods: 6, number of years: 14 more than the investment compounded annually.

After 14 years, the investment compounded periodically will be worth $ ____(Round to two decimal places as needed.)​

Answers

After 14 years, the investment will be worth $ 2,306.72.

Given that an investment has a $ 1000 principal, 6% annual interest, 6 interest periods and 14 years of investment, to determine, after 14 years, how much the investment will be worth, the following calculation must be performed:

1000 x (1 + 0.06 / 6) ^ 14x6 = X 1000 x 1.01 ^ 84 = X 1000 x 2.3067 = X 2,306.72 = X

Therefore, after 14 years, the investment will be worth $ 2,306.72.

Learn more about maths in https://brainly.com/question/15603792

what is /12x^8| /3x2 in simplest form where x>0

Answers

Answer:

2x^3

C

Step-by-step explanation:

Find an equation for the perpendicular bisector of the line segment whose endpoints are (−2,−1) and ( − 6 , − 5 ).

Answers

Answer:

[tex]y = -x - 7[/tex].

Step-by-step explanation:

Slope of the given line segment:

[tex]\begin{aligned} m_{1} = \frac{(-5) - (-1)}{(-6) - (-2)} = 1\end{aligned}[/tex].

The slope of any line perpendicular to this line segment would be:

[tex]\begin{aligned}m_{2} &= \frac{-1}{m_{1}} = -1\end{aligned}[/tex].

Midpoint of the given line segment:

[tex]\displaystyle \left(\frac{(-2) + (-6)}{2},\, \frac{(-1) + (-5)}{2}\right)[/tex].

Simplifies to get:

[tex](-4,\, -3)[/tex].

Find the equation of the perpendicular bisector in point-slope form and simplify.

[tex]y - (-3) = (-1)\, (x - (-4))[/tex].

[tex]y + 3 = -x - 4[/tex].

[tex]y = -x - 7[/tex].

4y^3-9y=0 solve by factoring

Answers

Answer:

[tex]y_1=0,y_2=\frac{3}{2},y_3=\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]4y^3-9y=0[/tex]

[tex]y(4y^2-9)=0[/tex]

[tex]y(2y-3)(2y+3)=0[/tex] <-- Difference of squares

[tex]y_1=0,y_2=\frac{3}{2},y_3=\frac{3}{2}[/tex]

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