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3 years ago

Stella solves the following system of equations using the substitution method.

Mathematics

1 answer:

Lorico [155]3 years ago

7 0

9514 1404 393

Answer:

B. 5x−(−4x−6)=10

Step-by-step explanation:

The first equation gives an expression for y:

y = -4x -6

When that is used in the second equation, the result is ...

5x -y = 10

5x -(-4x -6) = 10 . . . . . . after substituting; matches B

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A point G on a segment on a segment with endpoints F(4, 8) and H(10, 12) partitions the segment in a 3:4 ratio. Find G. You must

Andru [333]

Suppose, we are given

two points as

F as (x1, y1)

H as (x2, y2)

assume it divides in m/n

we can use formula

$G=(x,y)=(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})$

now, we are given points as

F=(x1, y1)=(4,8)

$x_1=4,y_1=8$

H=(x2, y2)=(10,12)

$x_2=10, y_2=12$

$\frac{m}{n} =\frac{3}{4}$

so,

$m=3,n=4$

now, we can find

$x=(\frac{3*10+4*4}{3+4}, y=\frac{3*12+4*8}{3+4})$

$x=\frac{46}{7} , y=\frac{68}{7}$

so, point is

$G=(\frac{46}{7} , \frac{68}{7})$ .................Answer

7 0

3 years ago

Use cylindrical coordinates. Find the volume of the solid that lies within both the cylinder x2 y2

Sedaia [141]

Answer:

hello your question is incomplete here is the complete question

Use cylindrical coordinates Find the volume of the solid that lies within both the cylinder x^2 + y^2=16 and the sphere x^2 + y^2 + Z^2= 81

Answer : $\frac{4 \pi }{3} [729 - 65\sqrt{65} ]$

Step-by-step explanation:

The given data

cylinder = x^2 + y^2 = 16

sphere = x^2 + y^2 +z^2 = 81

from the given data the solid is symmetric around the xy plane hence we will calculate half the solid volume above the plane then multiply the sesult by 2

Note : we are restricting our attention to the cylinder x^2 + y^2 = 16 and also finding the volume inside the sphere which gives bound on the z-coordinate as well

the r parameter goes from 0 to 4

ATTACHED IS THE REMAINING PART OF THE SOLUTION

showing the integration

5 0

4 years ago

7 kids on the basketball team return sick from a weekend playing games at Lakenheath High school with a virus. The aggressive vi

Lilit [14]

Answer:

It would take 6 days for 500 students to be affected.

Step-by-step explanation:

Given that:

1. Seven kids returned with the virus.

2. The aggressive virus spreads at 130% each day.

We want to find how many days until 500 students are infected by the virus.

First day:

7 students have the virus, 130% of 7 student will contract the virus again.

130% of 7 = (130/100) × 7

= 1.3 × 7 = 9.1 ≈ 9

9 new students are affected

New total affected = 7 + 9 = 16 students.

Day 2:

Affected = 1.3 × 16 = 20.8 ≈ 20

New total affected = 20 + 16 = 36

Day3

Affected = 1.3 × 36 = 46.8 ≈ 46

New total affected = 36 + 46 = 82

Day4

Affected = 1.3 × 82 = 106.6 ≈ 106

New total affected = 106 + 82 = 188

Day5

Affected = 1.3 × 188 = 244.4 ≈ 244

New total affected = 244 + 188 = 432

Day6

Affected = 1.3 × 432 = 561.6 ≈ 561

New total affected = 561 + 432 = 993

Therefore, it would take 6 days for 500 students to be affected.

8 0

3 years ago

Jared mows several lawns in his neighborhood and is paid a different amount per lawn. He decided to make a graph of how much mon

Tresset [83]

Answer: the false statement is c

Step-by-step explanation:

The graph of the amount earned for number of lawns mowed versus number of lawns mowed is sketched in the attached photo.

From the graph,

a) Money earned is graphed on the y-axis

b) The slope of the line can be used to estimate how much money Jared earns per lawn

d) Jared graphed the number of lawns mowed on the x-axis

The false statement is

c) Jared earns on average 14 dollars per lawn

7 0

3 years ago

For the diagram below, if < 4 = 4x - 2, and < 6 = 2x + 14, what is the value of x?

RUDIKE [14]

Applying the alternate interior angles theorem, the value of x is: D. 8.

<h3>What is the Alternate Interior Angles Theorem?</h3>

The alternate interior angles theorem states that interior angles that are alternate to each other along a transversal have equal measurement.

∠4 and ∠6 are alternate interior angles, therefore:

m∠4 = m∠6

Substitute

4x - 2 = 2x + 14

4x - 2x = 2 + 14

2x = 16

x = 16/2

x = 8 (option D).

Learn more about the alternate interior angles theorem on:

brainly.com/question/24839702

#SPJ1

3 0

2 years ago