Can anybody help me with this pls?
a plane intersects the coordinate axes at the point (2,0,0), (0,3,0) and (0.0.4) the obteined point is ax+by+cz+d, find value of d

Answers

Answer 1

Answer:

  d = 12

Step-by-step explanation:

In intercept form, the equation of the plane is ...

  x/a +y/b +z/c = 1 . . . . . for x, y, z intercepts a, b, c

You have (a, b, c) = (2, 3, 4), so the equation of the plane is ...

  x/2 +y/3 +z/4 = 1

Multiplying by 12 gets rid of the fractions and puts the equation in standard form:

  6a +4y +3z = 12

The value of d is 12.


Related Questions

Write the equation for the function graphed below

Answers

Answer:

Step-by-step explanation:

looks to be a parabola, so use vertex mode (h, k) =  (-1, 2)

y = a(x - h)² + k

y = a(x + 1)² + 2

another point on the curve seems to be (1, 6)

6 = a(1 + 1)² + 2

     1 = a

y = (x + 1)² + 2

or expand for standard form y = ax² + bx + c

y = (x² + 2x + 1) + 2

y = x² + 2x + 3

Solve and graph the solutions of |x − 5| > 12. Write the solutions as a compound inequality.

Answers

Answer:

inequality form: x<-7 or x> 17

Step-by-step explanation:

[tex]Simplify..... \\ \\ \frac{6x ^{4} {y}^{2} \times 4 {x}^{6} {y}^{3} }{12 {x}^{5} {y}^{4} } [/tex]
..............................​

Answers

Hope it helps.

Don't forget to click the Brainliest button if you like my answer and if you have any query, please feel free to ask in the comment section.

solve the system using substitution x+5y=0 3y+2x=-21

Answers

Answer:

[tex]\left \{ {{x = -15} \atop {y=3}} \right.[/tex]

Step-by-step explanation:

[tex]\left \{ {{x + 5y = 0} (1) \atop {3y + 2x = -21}(2)} \right. <=> \left \{ {{x = -5y} \atop {3y + 2x = -21}} \right. <=> \left \{ {{x = -5y} \atop {3y + 2*(-5y) = -21}} \right. <=> \left \{ {{x = -5y} \atop {3y - 10y = -21}} \right. \\<=> \left \{ {{x = -5y } \atop {-7y = -21}} \right. <=> \left \{ {{x = -5y} \atop {y= 3 }} \right. <=> \left \{ {{x = -5 * 3} \atop {y=3}} \right.=> \left \{ {{x=-15} \atop {y=3}} \right.[/tex]

Ok done. Thank to me :>

Determine the center and radius of the following circle equation:
x? + y2 - 2x - 12y +36 = 0

Answers

Step-by-step explanation:  

x²+ y² -12x - 18y +17 = 0 means : (x²-12x+36)-36+(y²-18y+81)-81-27 =0

(x-6)²+(y-9)² =12²....standard form when the center is (-6 , 9) and radius 12

Answer:

The center is at (1, 6) and the radius is 1.

Step-by-step explanation:

x^2 + y^2 - 2x - 12y +36 = 0

Convert to standard form:

x^2 - 2x + y^2 - 12y = -36

(x - 1)^2 - 1 + (y - 6)^2 - 36 = -36

(x - 1)^2 + (y - 6)^2 = -36 + 36 + 1

(x - 1)^2 + (y - 6)^2 =  1

The center is at (1, 6) and the radius is 1.

Hanna has 16 pencils. She gets 3 new
pencils from Mrs. Lewis. She divides
the pencils equally between her 2
sisters. How many pencils does each
sister get?

Answers

Answer:

9.5

Step-by-step explanation:

If Hanna starts off with 16, and Mrs. Lewis GIVES(add) her 3 more, then she has 19 because 16+3=19. Then we divide by 2 because there are 2 sisters. so 19/2 = 9.5

Hello! I hope this helped you. If this is wrong please let me know. Thank you.

Y<-3 which is the solution:

A) 5

B) 0

C)-2

D)-5

Answers

Y needs to be less than -3 the larger the negative number the further from 0 it is so -5 would be less than -3

Answer: -5

Which is NOT true?
16 + 3 = 11 + 8
16 = 16
16 - 4 = 7 + 6
16 = 19 - 3

Answers

Answer:

16 - 4 = 7 + 6

Step-by-step explanation:

16 - 4 = 12

7 + 6 = 13


Please help me simplify this answer.

Answers

Answer:

D

Step-by-step explanation:

if x =4 and y =5

the expression = 818.3396

and D the only expression done the same result

pls help!ill give brainlest to the smartest!

Answers

This should help you

witch expression an be placed on the right side of the equal sign to form an equation 5 + 2/3 ? K12 6 grade

Answers

The answer to this question is I don’t know

Sarah walked ½ mile yesterday morning and ¾ mile yesterday afternoon. What was the total distance walked by Sarah?

Answers

Answer:

1.25 miles or 5/4

Step-by-step explanation:

Take the two distances and add them together and simplify.

Answer: 1 & 1/4 mile

Explanation:

1/2 = 2/4

She walked 2/4 of a mile in the morning and 3/4 of a mile in the afternoon. The total she walked is 5/4 of a mile. We add the numerators and place the sum over the common denominator.

The improper fraction 5/4 converts to the mixed number 1 & 1/4, since,

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

what is the equation of the line that has a slope of three and goes through the point (-3,-5)?
A. y= 3x+4
B. y= 3x-14
C. y= 3x-4
D. y= 3x+12​

Answers

Answer:

y=3x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=3(x-(-3))

y+5=3(x+3)

y=3x+9-5

y=3x+4

Find the x-intercept(s) and the coordinates of the vertex for the parabola =y−x2−2x3. If there is more than one x-intercept, separate them with commas.

Answers

Answer:

Step-by-step explanation:

Your equation makes no sense.

I will ASSUME you mean

y = -x² - 2x + 3

which can be factored

y = (x + 3)(-x + 1)

x intercepts occur when y = 0

0 = (x + 3)(-x + 1)

which means either

x + 3 = 0

x = -3

or

-x + 1 = 0

x = 1

x intercepts are (-3, 0) and (1, 0)

The vertex will occur halfway between these point

x = (-3 + 1) / 2 = -1

so vertex = y = -(-1)² - 2(-1) + 3 = 4

(-1, 4)

help me please thanks ​

Answers

Answer:

9.25 would be the value of x

Explanation:

Perimeter = 2(l + w)

2(13.25 + 9.25)

= 45

Find the area of the circle whose diameter is 68 cm​

Answers

Answer:

1156πcm²

Step-by-step explanation:

Diameter = 68cm

Therefore radius = 68 ÷ 2 = 34cm

Area of a circle = πr²

= π × 34cm × 34cm

= π × 1156cm

= 1156πcm²

NOTE: In case you're given the value of pi, substitute it into the formula to get your answer

Use the slope formula to determine the slope of the line containing the two points (4,-8) and (-1,-2)

Answers

the slope is 6/-5

subtracting the y values gives you -2-(-8)=6

subtracting the x values gives you -1-4= -5

Given:-

Two points (4,-8) and (-1,-2) .

To find :-

The slope of the line through these points .

Solution :-

As we know that the slope is ,

[tex]\longrightarrow\sf Slope = y_2-y_1/x_2-x_1[/tex]

Substitute the values ,

[tex]\longrightarrow[/tex] Slope = -8 -(-2) / 4 -(-1)

[tex]\longrightarrow[/tex] Slope = -8 +2/4 + 1

[tex]\longrightarrow[/tex] Slope = 6/5

Hence the slope of the line is 6/5 .

5. Which of the following linear expressions is a factor of the cubic polynomial x^3 + 9x² +16x-12?
(1) x+6
(3) r-3
(2) x-1
(4) x+2

Answers

Answer:

(1) x+6

Step-by-step explanation:

Possible rational zeroes include ±1, ±2, ±3, ±4, ±6, ±12

Check each answer choice with synthetic division:

1 | 1 9 16 -12

 __1_10_26

    1 10 26 | 14

-2 | 1  9   16 -12

   __-2_-14_-4

      1  7   2  | -16

-6 | 1 9     16 -12

    __-6_-18_12

      1  3   -2  | 0

Therefore, x+6 is a factor of the polynomial

Answer:

(1) x+6

Step-by-step explanation:

Kathryn is 1.4 meters tall. Convert her height to feet. Round to the nearest tenth.

Answers

Answer:

4.59318

Step-by-step explanation:

I think you would have to round to the nearest tenth or something so i dont know but this is the exact answer.

Solve for X
2/3 x +10/60 =100/60

Answers

Answer:

2 1/4

Step-by-step explanation:

subtract 10/60 from each side to get:

2/3x = 90/60

multiply each side by 3/2 to get:

x = 270/120

x = 27/12 or 2 1/4

As a restaurant, you and four friends divide the bill evenly. Each person pays $7.35. How much is the total bill?

Answers

Answer:

29.4

Step-by-step explanation:



please help! will give brainliest:)

Solve the following system:
2x - z=14 a
10
3x - y + 5z = 0
(4x + 2y + 3z = -2

Answers

Answer

1) x = 8

2) x = 1/3y + -5/3z

3) x = -1/2y + -3/4z + -1/2

Hope this helps:))

Determine if the sequence is geometric . If it is , find the common ratio , the explicit formula and the recursive formula .


1. -40 , 20 , -100 , 500


2. 4 , 20 , 100 , 500


3. 4 , 24 , 144, 864


5. 3 , -12 , 48 , -192

Answers

Step-by-step explanation:

if it is a geometric sequence, then

sn = sn-1 × r

with r being the common ratio.

1.

s2 = s1 × r

20 = -40 × r

r = 20/-40 = -1/2

but the same r has to apply to all other terms, if it is geometric.

s3 = s2 × r

-100 = 20 × -1/2 = -10

this is wrong, so, it is not geometric.

2.

s2 = s1 × r

20 = 4 × r

r = 20/4 = 5

but the same r has to apply to all other terms, if it is geometric.

s3 = s2 × r

100 = 20 × 5 = 100

s4 = s3 × r

500 = 100 × 5 = 500

this is all correct, so, it is geometric.

sn = sn-1 × 5

sn = s1 × 5^(n-1) = 4 × 5^(n-1)

3.

s2 = s1 × r

24 = 4 × r

r = 24/4 = 6

but the same r has to apply to all other terms, if it is geometric.

s3 = s2 × r

144 = 24 × 6 = 144

s4 = s3 × r

864 = 144 × 6 = 864

this is all correct, so, it is geometric.

sn = sn-1 × 6

sn = s1 × 6^(n-1) = 4 × 6^(n-1)

5.

s2 = s1 × r

-12 = 3 × r

r = -12/3 = -4

but the same r has to apply to all other terms, if it is geometric.

s3 = s2 × r

48 = -12 × -4 = 48

s4 = s3 × r

-192 = 48 × -4 = -192

this is all correct, so, it is geometric.

sn = sn-1 × -4

sn = s1 × (-4)^(n-1) = 3 × (-4)^(n-1)

Consider the circle centered at the origin and passing through the point (0, 2).

(a) Give the equation of the circle.

(b) For each point, decide whether or not it is on the circle. Is the point on the circle? (look at the image I attached)​

Answers

Answer:

x^2+y^2=4, yes, no, yes, no

Step-by-step explanation:

a) It's centered at the origin, which means that the equation is x^2+y^2=r^2, right? Then since point (0,2) is on the circle, its radius can be solved using Pythagoras theory, r=sqrt(0^2+2^2)=2, so the equation is x^2+y^2=4.

b) You plug the points into the equation and if the equation is true, they're on the circle. I'll give you an example of the first two.

([tex]\sqrt{3},1[/tex]): so x=[tex]\sqrt{3}[/tex], y=1. When you bring that into the equation you got in (a), it would be 3+1=4, which is true, which means that the point is on the circle.

(4,0): so x=4, y=0. When you bring that into the equation you got in (a), it would be 16+0=4, which is not true, which means the point isn't on the circle.

Todd drinks 4 liters of water every day. There are approximately 29.6 Milliliters in 1 fluid ounce. Which measurement is closest of to the number of fluid ounces in 4 liters/
A.7 fl oz
B. 34 fl oz
C. 118 fl oz
D. 135 fl oz

Answers

Answer:

D is the closest. The exact is 135.256

$5.15 per 5-pound bag

Answers

Answer: 1 pound = 1.03

Step-by-step explanation:

not sure what you wanted from this but here are possible answer

Hey there!

When you hear or see the word “per” in math, think of the question/word problem telling you to find the “for each”. This basically mean you’re dividing. So, let’s divide your numbers from each other.

$5.15/5 lb

= 5.15 ÷ 5 lb

= 5.15 ÷ 5 lb

= $1.03

Therefore, your answer SHOULD be: $1.03

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)



ROCKETS The height in feet of a rocket t seconds after launch is modeled
by h(t) =–16t2 + 72t. Find its average speed from 3 to 4 seconds.
F-56 ft/s
G40 ft/s H 40 ft/s
J 56 ft/s

Answers

The average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s

Given the equation as a model, h(t) =–16t² + 72t.

Average speed from 3 to 4 seconds = [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]

Find h(4):

h(t) =–16t² + 72t

Substitute 4 for t in the equation h(t) =–16t² + 72t

h(4) = -16(4)² + 72(4)

h(4) = -256 + 288

h(4) = 32

Find h(3):

h(t) = -16t² + 72t

Substitute 3 for t in the equation h(t) =–16t² + 72t

h(3) = -16(3)² + 72(3)

h(3) = -144 + 216

h(3) = 72

Plug in the value into  [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]:

average speed from 3 to 4 secs = [tex]\frac{32 - 72}{4 - 3} = -40[/tex]

Therefore, the average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s

Learn more about average rate of change on:

https://brainly.com/question/11627203

the base and height of a triangle are in the ratio 4:5 . if the area is 640 sq.cm find the the base and height

Answers

The base is 32cm and height is 40m

How can multistep linear equations be written to represent different
scenarios?

Answers

Answer:

Linear equations use one or more variables where one variable is dependent on the other. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit

The income elasticity is +2 and income increases by
20%. Sales were 5000 units, what will they be now?

Answers

Answer:

Step-by-step explanation:

The income elasticity is +2.5 and income increases by 20%. Sales were 5000 units, what will they be now? If the income elasticity is +2.5, income increases by 20% and sales were 5000 units, then the sales will increase by 20%*2.5 = 50% to 7500 units.

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