All categories

2 years ago

Pls. Help me to solve this math problem.

Mathematics

1 answer:

Tju [1.3M]2 years ago

4 0

$\bf (\stackrel{x_1}{x}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{8}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{8-(-7)}{-6-x}=\stackrel{\textit{slope}}{-\cfrac{15}{7}}\implies \cfrac{8+7}{-6-x}=-\cfrac{15}{7} \\\\\\ \cfrac{15}{-6-x}=-\cfrac{15}{7}\implies 105=(-6-x)(-15)\implies 105=90+15x \\\\\\ 15=15x\implies \cfrac{15}{15}=x\implies 1=x$

You might be interested in

Write five ordered pairs in a table to represent a relation that is not a function.

QveST [7]

Answer:

Therefore, the relation of the given ordered pairs does NOT represent a function as that x-coordinate values are repeated.

Step-by-step explanation:

We know that a relation is basically a set of input and output values, which are expressed in ordered pairs.

A relation may have any set of ordered pairs.

We also know that a function is a set of ordered pairs in which each x-element has only one y-element associated with it.

Consider the five ordered pairs

x y

-2 1

3 -4

-2 -7

4 6

5 7

The relation is: {(–2, 1), (3, –4), (–2, –6), (4, 6), (5, 7)}

From the table, it is clear that x-coordinate values are repeated.

In other words, x = -2 twice.

Therefore, the relation of the given ordered pairs does NOT represent a function.

8 0

2 years ago

Solve each proportion 3 = 72 – 7

Vanyuwa [196]

1. 504=3x
x=168

2. 64=20m
m=3.2

4 0

1 year ago

11. Sharon pays $98.75 for twenty-five

trasher [3.6K]

Answer:

$3.95

98.75 divided by 25

3 0

2 years ago

Read 2 more answers

A triangle was dilated by a scale factor of 6. If sin aº

Pavlova-9 [17]

Answer:

24 units

Step-by-step explanation:

A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?

triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees

15.5 units

24 units

30 units

37.5 units

From the description:

angle D measures a degrees

opposite to angle D is side EF

side DE (which measures 30 units) is the hypotenuse of the triangle.

We also know that

$\sin (a) = \frac{4}{5}$

$\sin (a) = \frac{opposite}{hypotenuse}$

From definition:

$\sin (a) = \frac{opposite}{hypotenuse}$

Replacing:

$\frac{4}{5} =\frac{ EF}{DE} \\\\EF = \frac{4}{5} *DE\\\\EF = \frac{4}{5} *30 \\\\= 24 units$

8 0

2 years ago

The principal P is borrowed and the loan's future value A at time t is given. Determine the loan's simple interest rater.

Anni [7]

Interest rate = 7%

I= PRT where I is the interest earned, p is the principal, r is rate as a decimal, and t is time in years.

A - P will give us the interest earned.

12,150 - 9,000 = 3,150

3150 = (9000)(r)(5)
3150 = 45,000r
r = 0.07
r = 7%

4 0

2 years ago