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2 years ago

The diagram shows a right-angled triangle.

Mathematics

1 answer:

andrew11 [14]2 years ago

6 0

Answer:

Diagram? I don't see a diagram.

Where is the diagram?

Step-by-step explanation:

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What is the equation of the line shown in the graph?

postnew [5]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-3, 1) and (2, -4). Substitute:

$m=\dfrac{-4-1}{2-(-3)}=\dfrac{-5}{5}=-1$

Therefore we have the equation of a line

$y=-1x+b\to y=-x+b$

Put the coordinates of the point (-3, 1) to the equation:

$1=-(-3)+b$

$1=3+b$ <em>subtract 3 from both sides</em>

$-2=b\to b=-2$

<h3>Answer: y = -x - 2</h3>

4 0

2 years ago

It cost $36.75 for 3 tickets to visit science center. How much dose it cost for 1

Simora [160]

Answer: 12.25 dollars

Step-by-step explanation:

7 0

2 years ago

Use vieta's theorem to solve the problems.

Mnenie [13.5K]

Using Vieta's Theorem, it is found that c = 72.

<h3>What is the Vieta Theorem?</h3>

Suppose we have a quadratic equation, in the following format:

$y = ax^2 + bx + c$

The roots are p and q.

The Theorem states that:

$p + q = -\frac{b}{a}$

$pq = \frac{c}{a}$

In this problem, the polynomial is:

$x^2 - 17x + c$

Hence the coefficients are $a = 1, b = -17$ .

Since the difference of the solutions is 1, we have that:

$p - q = 1$

$p = 1 + q$

Then, from the first equation of the Theorem:

$p + q = -\frac{b}{a}$

$1 + q + q = 17$

$2q = 16$

$q = 8$

$p = 1 + q = 9$

Now, from the second equation:

$pq = \frac{c}{a}$

$72 = c$

$c = 72$

To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978

6 0

1 year ago

What is the difference of two numbers is 1 and their product is 56

den301095 [7]

Answer:

8 and 7

Step-by-step explanation:

8 -7 = 1

8*7 = 56

7 0

2 years ago

On the Richter scale, the magnitude, M, of an earthquake is given by M= 2/3logE/Eo, where E is the energy released by the earthq

Ivahew [28]

Answer:

See below

Step-by-step explanation:

Part A

<em><u>Formula</u></em>

M = 2/3 * log(E/Eo)

<em><u>Givens</u></em>

M = ??

E = 2 * 10^15 joules

Eo = 10^4.4

<em><u>Solution</u></em>

M = (2/3) * log(2 * 10^15 / 10^4.4)

M = (2/3 ) log (7.96 * 10 ^ 11)

M = (2/3) * 11.901

M = 7.934

Part B

What the question is saying is that E/Eo = 10000

You don't have to figure out exact values.

M = 2/3 * log(10000)

M = 2/3 * 4

M = 8/3 or 2 2/3 or 2.66667

If you have choices, please list them.

4 0

2 years ago