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3 years ago

Kind of confused on this question, please help

Mathematics

1 answer:

Wittaler [7]3 years ago

8 0

Answer:

4th option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = $\frac{3}{5}$ x - 6 ← is in slope- intercept form

with slope m = $\frac{3}{5}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{3}{5} }$ = - $\frac{5}{3}$

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - $\frac{5}{3}$ and (a, b ) = (- 2, 5 ) , then

y - 5 = - $\frac{5}{3}$ (x - (- 2) ) , that is

y - 5 = - $\frac{5}{3}$ (x + 2)

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HELP I NEED HELP ASAP

Natalija [7]

Answer:

A) (2,5)

Step-by-step explanation:

longest side is between points (1,4) and (3,6)

so midpoint is ((1+3)/2), ((4+6)/2), which equals (2, 5)

8 0

3 years ago

Two trains leave stations 330 miles apart at the same time and travel toward each other. One train travels at 65 miles per hour

BARSIC [14]

Answer:

<em>Both trains will meet at 2.2 hours (2 hours and 12 minutes).</em>

Step-by-step explanation:

<u>Relative Speed</u>

If two moving objects are traveling through the same line and have speeds v1 and v2 respectively, their relative speed is vr = v1-v2.

Both trains travel toward each other, which means their speeds are of opposite signs.

Let's assume the first train has a positive speed of 65 mph, and the second train has a negative speed of -85 mph. Then, the relative speed is vr = 65 + 85 = 150 mph.

To calculate the time they take to meet, we apply the formula:

$\displaystyle t=\frac{x}{vr}$

$\displaystyle t=\frac{330}{150}=2.2\ hours$

Both trains will meet at 2.2 hours (2 hours and 12 minutes).

6 0

3 years ago

Joshua is designing a rectangular mirror. He let w = the width, in inches, of the mirror. The length of the mirror will be 6 inc

SVETLANKA909090 [29]

Answer:

16 < w < 21

Step-by-step explanation:

Given that :

Width if mirror = w

Length of mirror = l

L = 6 + w

Perimeter of mirror < 96 and > 76

Possible width of the mirror

Perimeter of a rectangle :

2(l + w)

2(6 + w + w)

= 2(6 + 2w)

= 12 + 4w

Hence,

76 < perimeter < 96

76 < 12 + 4w < 96

76 - 12 < 4w < 96 - 12

64 < 4w < 84

16 < w < 21

5 0

4 years ago

In a survey examining eating habit 34 women over 40 years old and a 54 women 40 and under responded to the survey. What’s the ra

Rina8888 [55]

Answer:

17:27

Step-by-step explanation:

You would start with 34:54

this reduces to 17:27

4 0

3 years ago

7. Tyson obtained a loan from the bank at 7.5% simple interest for 2. 5 years. If the simple interest was

9966 [12]

Answer:

7.He borrowed $1853.33

8.She received $28990.936

Step-by-step explanation:

7.Let x be the amount borrowed by Tyson

Rate of interest = 7.5%

Time = 2.5 years

Simple Interest = 347.50

Formula : $Si = \frac{P \times T \times R}{100}$

Where SI = simple interest

P = Principal

T = Time

R = Rate of interest

Substitute the values in the formula :

$347.50=\frac{x \times 2.5 \times 7.5}{100}\\\frac{347.50 \times 100}{2.5 \times 7.5}=x\\1853.33=x$

Hence he borrowed $1853.33

8) Principal = 20000

Rate of interest = 9.5%

No. of compounds per year = 2

Time = 4 years

Formula : $A=P(1+\frac{r}{n})z^{nt}$

Where A= amount

r = Rate of interest

n = no. of compounds

t = time

Substitute the values in the formula :

So, $A=20000(1+\frac{9.5}{200})^{2(4)}$

A=28990.936

Hence she received $28990.936

8 0

3 years ago