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2 years ago

Solve for x: - 3x – 9= - 1

Mathematics

2 answers:

rewona [7]2 years ago

5 0

X = -8/3

Djchbcdsndosndh

aalyn [17]2 years ago

4 0

Answer:

- 8 / 3

Step-by-step explanation:

-3x= - 1 + 9

-3x = 8

x= - 8/3

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In 1 hr, a plane can travel 440 mi into the wind and 480 mi with the wind. Find the wind speed and the rate of the plane in stil

nexus9112 [7]

Answer:

the plane would fall and crash at 150mph

Step-by-step explanation:

8 0

2 years ago

Brady made a scale drawing of a rectangular swimming pool on a coordinate grid. The points (-20, 25), (30, 25), (30, -10) and (-

djverab [1.8K]

Answer:

Length = 50 units

width = 35 units

Step-by-step explanation:

Let A, B, C and D be the corner of the pools.

Given:

The points of the corners are.

$A(x_{1}, y_{1}})=(-20, 25)$

$B(x_{2}, y_{2}})=(30, 25)$

$C(x_{3}, y_{3}})=(30, -10)$

$D(x_{4}, y_{4}})=(-20, -10)$

We need to find the dimension of the pools.

Solution:

Using distance formula of the two points.

$d(A,B)=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ ----------(1)

For point AB

Substitute points A(30, 25) and B(30, 25) in above equation.

$AB=\sqrt{(30-(-20))^{2}+(25-25)^{2}}$

$AB=\sqrt{(30+20)^{2}}$

$AB=\sqrt{(50)^{2}$

AB = 50 units

Similarly for point BC

Substitute points B(-20, 25) and C(30, -10) in equation 1.

$d(B,C)=\sqrt{(x_{3}-x_{2})^{2}+(y_{3}-y_{2})^{2}}$

$BC=\sqrt{(30-30)^{2}+((-10)-25)^{2}}$

$BC=\sqrt{(-35)^{2}}$

BC = 35 units

Similarly for point DC

Substitute points D(-20, -10) and C(30, -10) in equation 1.

$d(D,C)=\sqrt{(x_{3}-x_{4})^{2}+(y_{3}-y_{4})^{2}}$

$DC=\sqrt{(30-(-20))^{2}+(-10-(-10))^{2}}$

$DC=\sqrt{(30+20)^{2}}$

$DC=\sqrt{(50)^{2}}$

DC = 50 units

Similarly for segment AD

Substitute points A(-20, 25) and D(-20, -10) in equation 1.

$d(A,D)=\sqrt{(x_{4}-x_{1})^{2}+(y_{4}-y_{1})^{2}}$

$AD=\sqrt{(-20-(-20))^{2}+(-10-25)^{2}}$

$AD=\sqrt{(-20+20)^{2}+(-35)^{2}}$

$AD=\sqrt{(-35)^{2}}$

AD = 35 units

Therefore, the dimension of the rectangular swimming pool are.

Length = 50 units

width = 35 units

7 0

2 years ago

two circles are externally tangent to each other. One circle has a diameter of 62 yards and the distance between the centers of

maksim [4K]

Answer:

108 yards

Step-by-step explanation:

Let circle A be the circle with the 62 yard diameter

Let circle B be the circle whose diameter we are trying to solve for.

Externally tangent circles are circles which touch each other and share a common external tangent.
Circle A has a tangent of 62 yards and thus a radius ( half the diameter) of 31 yards.
The distance between the centers of the 2 circles is 85 yards. If you subtract the radius ( distance from the center of the circle to its circumference) of circle A then we'll only be left with the radius of circle B.
85 - 31= 54 yards which is the radius of circle B
To get the diameter: 54 x 2 = 108 yards

8 0

2 years ago

What is the answer for this question

evablogger [386]

-3: y = -2 * (-3) - 7 = 6 - 7 = -1

0: y = -2 * 0 - 7 = -7

3: y = -2 * 3 - 7 = -6 - 7 = -13

6: y = -2 * 6 - 7 = -12 - 7 = =-19

6 0

2 years ago

Samuel and Christopher go to the movie theater and purchase refreshments for their friends. Samuel spends a total of $34.00 on 6

Llana [10]

Answer:

The system of equations is :

6 p + 4 d = 34

12 p + 7 d = 66.25

The price of a drink is $1.75

Step-by-step explanation:

Assume that the price of one bag of popcorn is $p and the price of a drink is $d

∵ Samuel spends a total of $34 on 6 bags of popcorn and

4 drinks

- Multiply p by 6 and d by 4, then add the products and equate

the sum by 34

∴ 6 p + 4 d = 34 ⇒ (1)

∵ Christopher spends a total of $66.25 on 12 bags of popcorn

and 7 drinks

- Multiply p by 12 and d by 7, then add the products and equate

the sum by 66.25

∴ 12 p + 7 d = 66.25 ⇒ (2)

The system of equations is :

6 p + 4 d = 34

12 p + 7 d = 66.25

Now let us solve it

Multiply equation (1) by -2 to make the coefficients of p in the two equations equal in values and opposite in signs to eliminate it

∵ -12 p - 8 d = - 68 ⇒ (3)

- Add equations (2) and (3)

∴ - d = - 1.75

- Divide both sides by -1

∴ d = 1.75

The price of a drink is $1.75

7 0

2 years ago