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3 years ago

Work out the equation of the line which has a gradient of 12 and

Mathematics

1 answer:

IrinaVladis [17]3 years ago

4 0

Step-by-step explanation:

Equation of line in slope point form is given as:

$y - y_1 = m(x - x_1) \\ \therefore \: y - ( - 2) = 12(x - 4) \\ \therefore \: y + 2 = 12x - 48 \\ \therefore \: 12x - y - 48 - 2 = 0 \\ \therefore \: 12x - y - 50 = 0 \\ which \: is \: the \: equation \: of \: \: required \:\\line.$

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Evaluate 18 - 5x when x = -7

sukhopar [10]

Answer:

i thinks its -53

Step-by-step explanation:

18-5x

5x-7= -35

-35-18

-53

3 0

3 years ago

Mitchell has $17000 to put towards a car. He wants to invest this money in an account paying 3.3%/a

arsen [322]

Answer:

He can afford the monthly payment of the Ford car since his accumulated interest after 5 years is greater than the amount the Ford will cost

Step-by-step explanation:

For the Ford

There are 60 months in 5 years so the total amount he will be paying is 60 * 299 = $17,940

For the Volkswagen, amount to pay will be 60 * 389 = $23,340

Now to see the payment he can afford, let’s calculate the amount he will have in his savings

We shall use the formula for compound interest here

A = I(1 + r/n)^nt

where A is the amount after the

number of years

I is the initial amount = 17,000

r is the rate = 3.3% = 3.3/100 = 0.033

n is the

number of times interest is compounded per year = 12

t = number of years = 5

plugging these values we have

A = 17,000(1 + 0.033/12)^12(5)

A = 17,000( 1.00275)^60

A = $20,045

This shows he can afford the Ford

5 0

3 years ago

WILL GIVE BRAINLIEST

brilliants [131]

Answer:

^algebra^

#1). a - b=4

a=4 + b .....(equation 1)

#2) a + b=12

(4 + b) + b= 12

4 + b + b=12

4 + 2b=12

2b= 12 - 4

2b =8

b= 8:2

b=4

subtituted b in equation 1

a= 4 + b

a= 4 + 4

a=8

so, the number is 8 and 4

7 0

3 years ago

For the expression, use a property to write an equivalent expression, tell which property you used. Please help, and thank you :

raketka [301]

What about if you use the distributive property? You could do 1(x+13) because the 1 would distribute to the x and the 13 making it x+13. Hope that is helpful.

4 0

4 years ago

the perimeter of a rectangle can be found by using the formula P=21+2w. What is the width of the rectangle if the perimeter is 1

mixas84 [53]

$\begin{gathered} P=2l+2w \\ \text{If l=50 and P=100, then:} \\ 100=2(50)+2w\Rightarrow0=2w\text{ !!!!} \end{gathered}$

Since this can't happen, let's suppose that P=150, then:

$\begin{gathered} P=2l+2w \\ \Rightarrow150=2(50)+2w \\ \Rightarrow150=100+2w \end{gathered}$

Now we have to move the 100 to the other side of the equation with a negative sign to get this:

$\begin{gathered} 150=100+2w \\ \Rightarrow150-100=2w \\ \Rightarrow50=2w \end{gathered}$

Finally, to get w, we move the 2 that's multiplying to the other side dividing the 50:

$\begin{gathered} 50=2w \\ \Rightarrow\frac{50}{2}=w \\ \Rightarrow w=25 \end{gathered}$

Therefore, the width of the rectangle would be 25 ft if the perimeter is 150ft, and we can see how the rectangle would look:

6 0

2 years ago