Factor this out: 7y³ + 21y² + 14y

Graph the equation by plotting three points. If all three are correct the line will appear 2y=x+2

Temka [501]

Answer:

(-2,0) and (0,1)

I could be way off

Step-by-step explanation:

6 0

3 years ago

The point-slope form of the equation of the line that passes through (-5,-1) and (10,-7) is y+7=-2/5(x-10) what is the standard

MAVERICK [17]

Equation: y+7=-2/5(x-10)
y + 7 = -2/5 x + 4
y = -2/5 x - 3
2/5x + y = -3
Multiply the equation with 5,
2x + 5y = -15

In short, Your Answer would be: 2x + 5y = -15

Hope this helps!

8 0

3 years ago

Use what you know Pythagorean Triangles to determine the measure of the third side.

Tema [17]

Answer:

The formula to find the third side of the triangle is $a^2+b^2=c^2$

Step-by-step explanation:

In order to find value of the third side without knowing any degree measurements, you need to know value of two sides. Variable $c$ , in this case, is a hypotenuse (the longest side of the triangle).

5 0

3 years ago

In RSM camp, there are four counselors for every fifty seven students and three teachers for every five counselors. Chapter Refe

max2010maxim [7]

The number of students attending the camp that summer is 380 students

Step-by-step explanation:

There are four counselors for every fifty seven students

There are three teachers for every five counselors

Ms. Rifkin asked all 16 teachers present at the camp to attend a

teachers meeting

To solve this question we will use the ratio

The given is:

1. 4 counselors for every 57 students

2. 3 teachers for every 5 counselors

3. There are 16 teachers

At first let us find the 16 teachers are for how many counselors

∵ 3 teachers : 5 counselors

∵ 16 teachers : x counselors

∴ $\frac{3}{5}=\frac{16}{x}$

By using cross multiplication

∴ 3x = 16 × 5

∴ 3x = 80

Divide both side by 3

∴ x = $\frac{80}{3}$

Then let us find the $\frac{80}{3}$ counselors are for how many students

∵ 4 counselors : 57 students

∵ $\frac{80}{3}$ counselors : y students

∴ $\frac{4}{57}=\frac{80/3}{y}$

By using cross multiplication

∴ 4y = 57 × $\frac{80}{3}$

∴ 4y = 1520

Divide both sides by 4

∴ y = 380 students

The number of students attending the camp that summer is 380 students

Learn more:

You can learn more about the ratio in brainly.com/question/6952762

#LearnwithBrainly

4 0

3 years ago

The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e

Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

5 0

3 years ago