The x-intercept can be found by putting in zero for y. Find the x-intercept.
-3x + 5y 30

Answer:

The equation is;

y = x/2

Step-by-step explanation:

General form of the equation of a straight line is;

y = mx + c

where m slope

For the given equation , the slope is -2

If two lines are perpendicular, then the product of their slopes is -1

So the slope of the second line will be

-2 * m2 = -1

m2 = -1/-2

m2 = 1/2

Using the point-slope form, we have

y-y1 = m(x-x1)

Here (x1,y1) = (0,0)

y-0 = 1/2(x-0)

y = 1/2x or simply

y = x/2

Answer:

d

Step-by-step explanation:

equalitivietion form akk absolute vaules.

Answer:

I'm pretty sure its -9

Step-by-step explanation:

Answer:

There are 245 Iguanas in the reptile exhibit

Step-by-step explanation:

There are  35 snakes in the reptile exhibit.

We are also given some information about the number of iguanas in the reptile exhibit. According to the problem, there are 7 times as many snakes as iguanas in the reptile exhibit.

This means that to get the number of Iguanas in the reptile exhibit, we simply multiply the number of snakes by 7.

Iguanas = snakes X 7

Iguanas = 35 X 7 =245 Iguanas

Therefore, there are 245 Iguanas in the reptile exhibit

It takes 6 years to reach $6655.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

The formula written out is "Simple Interest = Principal x Interest Rate x Time."

Given:

Amount= 6655

Principal = 5500

Interest rate= 3.5%

So, Amount= P( 1 +rt)

6655 = 5500 (1 + 0.035t)

6655/5500 = 1 +0.035t

1.21 - 1= 0.035t

0.21 / 0.035 = t

t= 6 years

Hence, it takes 6 years to reach $6655.

Learn more about Simple Interest here:

https://brainly.com/question/25845758

#SPJ6

Answer:

[tex]h=\frac{h_{m}-h_{t}+44.145}{3}t-4.905t^{2}+h_{t}[/tex]

(if the heights are measured in meters)

Step-by-step explanation:

In order to solve this problem we will need to first draw a diagram of the situation (see attached picture) and then, make use of the following physics equation:

[tex]y_{f}=\frac{1}{2}at^{2}+v_{0}t+y_{0}[/tex]

where:

[tex]y_{f}[/tex]=height of the object at a given time t

a=acceleration due to gravity

t=time

[tex]v_{0}[/tex]=initial velocity of the object

[tex]y_{0}[/tex]=initial height of the object.

we know most of this data, except for the height of theh object at the given time t and the initial velocity of theh object. We can make use of the given time to write the velocity in terms of the height of thte tree and the height of the monolith.

So let's substitute the values we know so far:

[tex]h=\frac{1}{2}(-9.81)t^{2}+v_{0}t+h_{tree}[/tex]

the problem tells us that after 3 seconds, the object reaches the height of the monolith, so let's do the substitution:

[tex]h_{monolith}=\frac{1}{2}(-9.81)(3)^{2}+v_{0}(3)+h_{tree}[/tex]

we can now solve this equation for the initial velocity, so we get:

[tex]h_{monolith}-h_{tree}=-44.145+3v_{0}[/tex]

[tex]h_{monolith}-h_{tree}+44.145=3v_{0}[/tex]

so:

[tex]v_{0}=\frac{h_{monolith}-h_{tree}+44.145}{3}[/tex]

and now we can substitute this back into the original formula to get the equation that represents the height of the coconut above the ground after t seconds:

[tex]h=\frac{h_{m}-h_{t}+44.145}{3}t-4.905t^{2}+h_{t}[/tex]

Answer:

A dog kennel owner wants to enclose a rectangular dog run. She

wants it to be five times as long as it is wide. She cannot use

more than 100 feet of fencing. Describe the dimensions of the

dog run.

****For word problems you must define the variable for the situation & write a

sentence to describe the solutions. **

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Hope this helps!

Answer:

y=-8

Step-by-step explanation:

y=6x+(-2)

y=6(-1)+(-2)

y=-6+(-2)

y=-8

Answer:

Step-by-step explanation:

2x + 2y = 6

-2x + 4y = 24

6y = 30

y = 5

10 - x = 12

-x = 2

x = -2

(-2, 5)

Answer:

..................................................

Step-by-step explanation:

Answer:

The directional bearing of the boat is N 30º E

Step-by-step explanation:

Let [tex]\vec v = (25, 25\sqrt{3})[/tex], where [tex]\vec v[/tex] is the vector velocity. Given that such vector is represented in rectangular, a positive value in the first component is the value of the vector in the east direction, whereas a positive value in the second component is in the north direction. The directional bearing of the boat ([tex]\theta[/tex]), measured in sexagesimal degrees, is determined by trigonometrical means:

[tex]\theta = \tan^{-1}\frac{v_{y}}{v_{x}}[/tex] (1)

If we know that [tex]v_{x} = 25[/tex] and [tex]v_{y} = 25\sqrt{3}[/tex], then the directional bearing of the boat is:

[tex]\theta = \tan^{-1} \sqrt{3}[/tex]

[tex]\theta = 60^{\circ}[/tex]

In consequence, we conclude that the direction bearing of the boat is 30 degrees to the East from the North (N 30º E).

Answer:

A) N 30 E

Step-by-step explanation:

Answer:

-25.44

Step-by-step explanation:

Answer:

Step-by-step explanation:

More than two hours of homework may be counterproductive, research suggests. GSE scholar Denise Pope finds that students in high-achieving schools who spend too much time on homework experience more stress and health problems. ... Students in these schools average about 3.1 hours of homework each night

Answer: after 3 seconds

when  the ball hit the ground => - 5t² + 14t + 3 = 0

⇔ (5t + 1)(t - 3) = 0

⇔ t = 3 or t = -1/5

but t  is a positive integer => t = 3

so the ball will hit the ground after 3 seconds

Step-by-step explanation:

Answer:

Step-by-step explanation:

The number of people who have two-course meal is (10 - x)

Correct equation is:

Solving for x:

Answer:

Answers:

1) 15x + 12(10 - x) = 141

2) 7 and 3

15x + 12(10 - x) = 141

15x + 120 - 12x = 141

3x = 141 - 120

3x = 21

x = 7

Answer:

C

Step-by-step explanation:

28c +12 +5 which is the answer choice C

Answer: Exact Form:

m

=

31

12

Decimal Form:

m

=

2.58

¯

3

Mixed Number Form:

m

=

2

7

12

Step-by-step explanation:

Answer:

That's wonderful!

Step-by-step explanation:

I'm really proud of you! I'm 14 (almost 15), and taking sophomore classes right now, and a foreign language. I absolutely regret not taking a second math class this year (Algebra II).

Answer: C or B

Step-by-step explanation:

Answer:

its the first answer

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

all angles in a triangle measures 180°

Answer:

D E F

Step-by-step explanation:

Have a good day :)

Answer:

y=

Step-by-step explanation:

Perpendicular means opposite reciprocal of the slope. This means that the slope would change from 2/5 to 5/2 and add a negative, so it is -5/2.

y=-5/2x+b

2=-5/2 (2) +b

7=b

y=-5/2x+7

Answer:

AC = 6.35 in.

Step-by-step explanation:

BC times CD

4.2(9.6) = 40.32

The square root of 40.32 = 6.3498031465550174172038778087342

Round your answer to the nearest hundredth

AC = 6.35 in.

Answer:

You can tell if a relation is a function if each input value only has ONE output value. Examples below

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

y = 30.12(4) + 3

Step-by-step explanation:

there's 30.12, 4 times (4pizzas) plus an initial, one time fee of 3 dollars. so you'd multiply the 30.12 and (4), then add the 3 dollars one time.

answer

1:5

Step-by-step explanation:

To find speed use the formula

speed=distance/time

The car's speed is 600m ÷2mins(120secs)

(600÷120)

5m/s

The trains speed will be

speed=distance/time

=75÷50mins(5/6hrs)

=90km/hr

Ratio of their speed should be

first change the speed of the car 5 m/s to km/hr. 5×18/5 = 18km/hr

the speed of the train is 90km/hr

18:90 simplified it will be 1:5