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Dmitrij [34]
3 years ago
6

1.What is the y-intercept of the plane whose equation is 4x + 5y – z = 20?

Mathematics
2 answers:
Katena32 [7]3 years ago
8 0

In case of plane, for y intercept, x and z are o .

So we will get

4(0)+5y-0=20

5y=20

Dividing both sides by 5

y = 4

So the y intercept is (0,4,0).

In second question, x intercept is 1, y intercept is -1 and z intercept is 2 .

So the correct option is the third equation , that is x-y+2z=4 .

Grace [21]3 years ago
6 0

Answer:

Option c and

Option d

Step-by-step explanation:

Given is a plane 4x+5y-z=20

To find y intercept

In the y axis x=0=z

Substitute to get5y =20:\\y=4

Hence point is (0,4,0)

2) When x intercept = 1, y int =-1 and z int =2 we have in intercept form the plane

\frac{x}{1} +\frac{y}{-1} +\frac{z}{2} =1\\2x-2y+z=2

is the right one

Option d

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Y-2=4(x+3) what the slope intercept
Kryger [21]

Answer:

Slope intercept form: y = 4x + 14

Slope: 4

Y-intercept: 14

Step-by-step explanation:

y - 2 = 4(x + 3)

Use distributive property

y - 2 = 4x + 12

y - 2 + 2 = 4x + 12 + 2

y - 0 = 4x + 14

y = 4x + 14

3 0
2 years ago
Calculate the value of x in the equation 2x - 15 =5 - 3×
pshichka [43]

\bold{2x - 15 = 5 - 3x} \\  \bold{2x + 3x = 15  +  5} \\  \bold{5x =20 } \\  \bold{x =  \cancel{ \frac {20}{5} }} \\  \bold{x = 4}

Hope it helps

3 0
1 year ago
Read 2 more answers
Simplify sqrt 3× sqrt 27
sleet_krkn [62]
√3√27

=√(3*27)

=√81

=9

As 9*9=81.

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

RULES:

√a√b=√ab

As (√a√b)²=((√a)²(√b)²)=√a√a√b√b=ab

When:

(√a√b)²=ab

√a√b=√ab
4 0
3 years ago
Read 2 more answers
Show how to determine whether (2x – 4) is a factor of the polynomial 2x^5 – 4x^4 + 2x^2 – 2x - 4
amid [387]

Answer:

See explanation.

Step-by-step explanation:

First put 2x-4 equal to 0 and solve it.

2x-4=0

2x=4

x=2

Now plug 2 into the polynomial and see if it equals to 0

In case it's not, then it is not a factor of it

2(2)^5 - 4(2)^4 + 2x^2 -2(2) - 4 = 0


So it's indeed a factor of the polynomial.


Hope this helps!

8 0
3 years ago
Will give BRAINLIEST if right!
sattari [20]

Answer:

Vertex is (-1, -9)

Step-by-step explanation:

To find the x-value of the vertex, we use the formula

x

=

−

b

2

a

(This is considered the axis of symmetry).

a

=

1

and

b

=

2

with

c

=

−

8

(These are the numbers in order)

By substituting we get

x

=

−

(

2

)

2

⋅

1

, which simplifies to

x

=

−

1

.

Once you find x, substitute back into the equation to find y.

y

=

(

−

1

)

2

+

2

(

−

1

)

−

8

y

=

1

−

2

−

8

y

=

−

9

Putting the two numbers together you get the coordinates

(

−

1

,

−

9

)

.

8 0
3 years ago
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