All categories

3 years ago

•How do the solutions to an equation relate to the graph of the equation?

1 answer:

6 0

1. Graphs help you solve equations, and equations help you solve graphs. Because the graph is a diagram of the equation, showing at its simplest the y answer for each value of x.
2. You have to solve for y, graph it, and then find where the lines intersect.You can take a table and put in all the x and y values. Then you graph it.. And see where it intersects because usually these equations are lines. Also you'd wanna solve for slope-intercept form(y = mx + b)

You might be interested in

1-3. Find the center point, the radius and the diameter for the following equation: x² + y2 = 16

kogti [31]

Answer:

Center: (0, 0)

Radius: 4

Step-by-step explanation:

Circle Standard Equation: (x - h)² + (y - k)² = r²

(h, k) is center

r is radius

We see that our h and our k are both 0.

∴ Our center is (0, 0), origin.

We see that our r² = 16

√r² = √16

∴ Our radius is equal to 4

3 0

3 years ago

Find cos(2*ABC) 100POINTS

juin [17]

Answer:

$-\dfrac{7}{25}$

Step-by-step explanation:

Trigonometric Identities

$\cos(A \pm B)=\cos A \cos B \mp \sin A \sin B$

Trigonometric ratios

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

Using the trig ratio formulas for cosine and sine:

$\cos(\angle ABC)=\dfrac{3}{5}$

$\sin(\angle ABC)=\dfrac{4}{5}$

Therefore, using the trig identities and ratios:

$\begin{aligned}\implies \cos(2 \cdot \angle ABC) & = \cos(\angle ABC + \angle ABC)\\\\& = \cos (\angle ABC) \cos (\angle ABC) - \sin(\angle ABC) \sin (\angle ABC)\\\\& = \cos^2(\angle ABC)-\sin^2(\angle ABC)\\\\& = \left(\dfrac{3}{5}\right)^2-\left(\dfrac{4}{5}\right)^2\\\\& = \dfrac{3^2}{5^2}-\dfrac{4^2}{5^2}\\\\& = \dfrac{9}{25}-\dfrac{16}{25}\\\\& = \dfrac{9-16}{25}\\\\& = -\dfrac{7}{25} \end{aligned}$

7 0

2 years ago

Read 2 more answers

말 8.) A baker is ordering eggs for the week. How many cartons of 6 eggs would a baker need to have 225 eggs all together? Explai

morpeh [17]

Answer:

Step-by-step explanation:

We know that each carton contains 6 eggs and we need a total of 225. To find this answer, divide 225 by 6, which is 37.5. We would have to round up one because you cannot buy half of a carton. So the answer is 38 cartons.

6 0

3 years ago

Please help me ASAP

Vedmedyk [2.9K]

Volume = area of base * height = 1/2 * 6 * 8 * 12

= 288 ft^3 answer

7 0

3 years ago

A local lake has a fish population that follows a geometric series with these properties first time equals 48 ratio equals 1/4 d

kondaur [170]

Answer:

64.

Step-by-step explanation:

Sigma notation is ∑48(1/4)^(n-1).

Upper limit = a1 / (1 - r) where a1 = initial population and r = common ratio.

So it is 48 / (1 - 1/4)

= 48 / 3/4

= 48 * 4/3

= 64.

4 0

3 years ago