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2 years ago

Graph triangle RST with vertices R3, 7), S(-5, -2), and T(3, -5) and its image after a reflection over 3

Mathematics

1 answer:

Alja [10]2 years ago

6 0

Skis dhdjaknsjdkjshdjdkbsjfkdnbskdksndjrjdbndje

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What is the discriminant of the quadratic equation 2x² - x - 3=0?

Tamiku [17]

The given quadratic equation is

$2 {x}^{2} - x - 3 = 0$

comparing with

${ax}^{2} + bx + c = 0$

We get ,

$a = 2 \\ b = - 1 \\ c = - 3$

formula :

$D = {b}^{2} - 4ac \\ \\ D = {( - 1)}^{2} - 4 \times 2 \times ( - 3) \\ \\ D = 1 - ( - 24) \\ \\D = 1 + 24 \\ \\D = 25.$

Discriminant of given quadratic equation is 25 .

option (B) 25 ✔

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1 year ago

Jillian burns 187 calories when she runs 2 miles. How many miles will she need to run to burn 500 calories?

WITCHER [35]

Answer:

7.2

Step-by-step explanation:

5 0

3 years ago

I need help answering this one

aniked [119]

I already a seed you when you asked this the first time. The answer is 3.
You multiply both sides by 50 and then you get this
(In the picture)

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3 years ago

Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37

Mandarinka [93]

Answer:

The general rule is $a_n = -2 - 5(n-1)$

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

$a_{n} = a_1 + (n-1)d$

In which $a_1$ is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

$a_n = a_m + (n-m)d$

a3 = -12 and a8 = -37

First we find the common difference. So

$a_n = a_m + (n-m)d$

$a_8 = a_3 + (8-3)d$

$-37 = -12 + 5d$

$5d = -25$

$d = -\frac{25}{5}$

$d = -5$

$a_n = a_1 - 5(n-1)$

Finding the first term:

$a_n = a_1 - 5(n-1)$

Since $a_3 = -12$

$a_n = a_1 - 5(n-1)$

$a_3 = a_1 - 5(3-1)$

$a_1 = a_3 + 10 = -12 + 10 = -2$

So the general rule is:

$a_n = a_1 - 5(n-1)$

$a_n = -2 - 5(n-1)$

6 0

2 years ago

Write the expression in standard form <img src="https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B3-15i%7D" id="TexFormula1" title="\

valentina_108 [34]

Answer:

7/78 - 35/78i

Step-by-step explanation:

A complex number is a real number, an imaginary number or a number with both real and imaginary number. Its standard form is:

a + bi

For the expression, 7/ 3-15i 

(7/ 3-15i) (3+15i)

21 - 105i / (234)

7/78 - 35/78i

4 0

3 years ago

Graph triangle RST with vertices R3, 7), S(-5, -2), and T(3, -5) and its image after a reflection over 3​

Graph triangle RST with vertices R3, 7), S(-5, -2), and T(3, -5) and its image after a reflection over 3