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3 years ago

The points ( 2,4) and (5,y) lie on the same line. If the slope of the line is -IA, what is the value of y

Mathematics

1 answer:

raketka [301]3 years ago

4 0

Answer:

Step-by-step explanation:

Correct question

The points ( 2,4) and (5,y) lie on the same line. If the slope of the line is --1, what is the value of y

The formula for calculating slope of a line is expressed as;

m = y2-y1/x2-x1

Substitute the given point

y - 4/5-2 = -1

y-4/3 = -1

y-4 = -3

y = -3+4

y = 1

Hence the value of y is 1

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3200 dollars is placed in an account with an annual interest rate of 6.5%. To the nearest year, how long will it take for the ac

madam [21]

4 yrs

Step-by-step explanation:

Formulae for simple interest is;

A= P (1 + rt) Whereby;

A = Total Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

r = Rate of Interest per year in decimal; r = R/100

R = Rate of Interest per year as a percent; R = r * 100

t = Time Period involved in months or years

15300 = 3200 (1 + 106.5/100 *t)

15300/3200 = 1 + 1.065t

4.78125 – 1 = 1.065t

3.78125 = 1.065t

3.78125/1.065 = t

3.55 = t

Rounded off to the nearest whole number;

= 4

5 0

3 years ago

Celia needs 75% of the marks in an exam to pass. She gets 4/5 of the marks. Does she pass the course? Show your working to justi

kari74 [83]

Answer:

Yes, she passes with 80%

Step-by-step explanation:

4 divided by 5 = 0.8

0.8 multiplied by 100 = 80%

80% is greater than the required 75% needed to pass

5 0

2 years ago

Read 2 more answers

Prove: cot(x) sec^4(x) = cot(x) +2tan(x) + tan^3(x)

masha68 [24]

$\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\qquad\qquad 
sec(\theta)=\cfrac{1}{cos(\theta)}\quad\qquad 1+tan^2(\theta)=sec^2(\theta)\\\\\\
tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}
\qquad \qquad cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\\\\
-------------------------------\\\\
cot(x)sec^4(x)=cot(x)+2tan(x)+tan^3(x)\\\\
-------------------------------\\\\$

$\bf \textit{so, let's do the left-hand-side}\\\\
cot(x)sec^2(x)sec^2(x)\implies cot(x)[1+tan^2(x)][1+tan^2(x)]
\\\\\\
cot(x)[1^2+2tan^2(x)+tan^4(x)]
\\\\\\
cot(x)+2tan^2(x)cot(x)+tan^4(x)cot(x)
\\\\\\
cot(x)+2\cdot \cfrac{sin^2(x)}{cos^2(x)}\cdot \cfrac{cos(x)}{sin(x)}+\cfrac{sin^4(x)}{cos^4(x)}\cdot \cfrac{cos(x)}{sin(x)}
\\\\\\
cot(x)+2\cdot \cfrac{sin(x)}{cos(x)}+\cfrac{sin^3(x)}{cos^3(x)}\implies \boxed{cot(x)+2tan(x)+tan^3(x)}$

8 0

3 years ago

What is the awnser for 15+12x-5x+44-7

Allushta [10]

The answer is 52+7x I hope this helps

3 0

3 years ago

Tim, mobs, Rita, Cassie earned two $ 20 bills , three $10 bills , three dimes , and two pennies from their shared paper route. H

Marizza181 [45]

Answer:

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Step-by-step explanation:

Please mark brainliest :)

5 0

2 years ago