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3 years ago

9

Which equation describes the relationship between the values in the table?

1 answer:

Alecsey [184]3 years ago

8 0

Answer:

the answer is option 4

Step-by-step explanation:

You might be interested in

The point A,B,C and D represent the complex number Z1,Z2,Z3 and Z4 and O is the origin. If OABC is a parallelogram, and Z1=1+3i

aleksley [76]

Complex numbers are divided into two parts; real and imaginary parts. The value of Z3 is $5+ 8i$

Given that:

$Z_1 = 1 + 3i$

$Z_2 = 4 + 5i$

Since O is the origin, then:

$C = OA + OB$

This means that:

$Z_3 = Z_1 + Z_2$

So, we have:

$Z_3 = 1 + 3i + 4 + 5i$

Collect like terms

$Z_3 = 1 + 4+ 3i + 5i$

$Z_3 = 5+ 8i$

Hence, complex number Z3 is $5+ 8i$

Read more about complex numbers at:

brainly.com/question/18509723

8 0

2 years ago

How dou you solve for 6x+4y=24?

lilavasa [31]

You could first solve for y, assuming x is 0, and y = 6. Then solve for x, and that means y = 4.

3 0

3 years ago

Eugenia walked all the way to school at 3 mph then realized she forgot her math book (how could she?!), so she ran back at 7 mph

kondor19780726 [428]

Let us say distance between Eugenia's home and school is x miles.

Speed of Eugenia when she walked from home to school = 3 mph

Speed of Eugenia when she walked from school to home = 7 mph

Total time taken = 45 minutes or 0.75 hours

We know that the speed distance formula is given by:

$speed=\frac{distance}{time}$

$time=\frac{distance}{speed}$

Time taken by Eugenia when she walked from home to school = x/3 hours

Time taken by Eugenia when she walked from school to home = x/7 hours

Total time taken = x/3+x/7

So forming an equation we have,

$\frac{x}{3}+\frac{x}{7}=0.75$

Taking lcd of 7 and 3 as 21,

$\frac{7x}{21}+\frac{3x}{21}=0.75$

$\frac{10x}{21}=0.75$

10x=15.75

Dividing both sides by 10 , we have

x= 1.575

Answer: So we can say that the distance between Eugenia's house and school is 1.575 miles.

4 0

3 years ago

A line with a negative slope intersects a horizontal line 3 units above the x-axis. Select each point that can not be the inters

AnnyKZ [126]

Step-by-step explanation:

Since both lines intersect each other 3 units above the x-axis, the y-value of the point of intersection must be 3.

Looking at the options, (-3, 5), (3, -2) and (0, -3) are all invalid points.

6 0

2 years ago

Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (2, 0, −2) to (5, 4, 2) (a) Find a fun

WITCHER [35]

Answer:

Required solution (a) $f(x,y,z)=xyz+3z^2+C$ (b) 40.

Step-by-step explanation:

Given,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k$

(a) Let,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k=f_x \uvec{i} +f_y \uvex{j}+f_z\uvec{k}$

Then,

$f_x=yz,f_y=xz,f_z=xy+6z$

Integrating $f_x$ we get,

$f(x,y,z)=xyz+g(y,z)$

Differentiate this with respect to y we get,

$f_y=xz+g'(y,z)$

compairinfg with $f_y=xz$ of the given function we get,

$g'(y,z)=0\implies g(y,z)=0+h(z)\implies g(y,z)=h(z)$

Then,

$f(x,y,z)=xyz+h(z)$

Again differentiate with respect to z we get,

$f_z=xy+h'(z)=xy+6z$

on compairing we get,

$h'(z)=6z\implies h(z)=3z^2+C$ (By integrating h'(z)) where C is integration constant. Hence,

$f(x,y,z)=xyz+3z^2+C$

(b) Next, to find the itegration,

$\int_C \vec{F}.dr=\int_C \nabla f. d\vec{r}=f(5,4,2)-f(2,0,-2)=(52+C)-(12+C)=40$

3 0

3 years ago