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3 years ago

Just need the answers

Mathematics

1 answer:

Tju [1.3M]3 years ago

6 0

Given is the ones that say they are given on 2 3 4 & 5

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A line passes through the point (-10, -6) and has a slope of 1/2 .

nalin [4]

Answer:

Step-by-step explanation:

formula for slope-intercept is [ y= mx + b ]

we are given a point P=(x1,y1) = (-10,-6)

and a slope m of 1/2

use the point slope formula [ y-y1 = m(x-x1) ] with the given info then work it into the slope-intercept form

y-(-6) = 1/2(x-(-10))

y+6 = 1/2(x+10)

y+6 = 1/2x+5

y= 1/2x + 5-6

y=1/2x-1

this looks like the point-slope form so you are done :)

6 0

3 years ago

Find the cosine of ∠J.

Nesterboy [21]

Answer:

Step-by-step explanation:

cos ( J ) = $\frac{KJ}{JI}$ = $\frac{\sqrt{29} }{\sqrt{94} }$ = $\sqrt{\frac{29}{94} }$

3 0

2 years ago

Tom and Jerry both invested the same amount for 8 years. If Tom’s rate of return is 9% and Jerry’s rate is 10% compounded annual

Margarita [4]

Answer:

The correct option is;

(f) 7.6%

Step-by-step explanation:

The given parameters are;

The number of years Tom and Jerry are investing their money, t = 8 years

The rate of return for Tom's investment, r₁ = 9%

The rate of return for Jerry's investment, r₂ = 10%

The rate at which the interest is compounded, n = Annually = 1

Let P represent the equal amount of money each of Tom and Jerry invested separately

The amount, A, of the investment is given by the following formula;

$A = P \times \left (1 + \dfrac{r}{n} \right ) ^{n \times t}$

Substituting the known values for Tom, gives;

$A = P \times \left (1 + \dfrac{0.09}{1} \right ) ^{1 \times 8} = P \times 1.09^8 \approx 1.993\cdot P$

The amount Tom has after 8 years ≈ 1.993·P

Substituting the known values for Jerry, gives;

$A = P \times \left (1 + \dfrac{0.1}{1} \right ) ^{1 \times 8} = P \times 1.1^8 \approx 2.144\cdot P$

The amount Jerry has after 8 years ≈ 2.144·P

The percentage amount Jerry has more than Tom after 8 years, PA is given as follows;

$PA = \dfrac{2.144 \cdot P - 1.993 \cdot P}{1.993 \cdot P} \times 100 = 7.57651781234\% \approx 7.6 \%$

The amount Jerry will have after 8 years than Tom = PA ≈ 7.6%.

5 0

3 years ago

Please help if you can

ArbitrLikvidat [17]

Answer:50

Step-by-step explanation:

All you do is add 60 and 70 together and then subtract what you had got from 180 witch gives you the answer for y and sense x is vertical to y they are going to be the same.

4 0

3 years ago

Maths help please!!!!!! PART B ONLY

andreyandreev [35.5K]

Answer:

19.37.

Step-by-step explanation:

Integrating the function we get

x^4/4 - 5x^3/3 + x^2 + 8x

Area under the curve from x = -1 to x = 0

= (-1)^4/4 - 5(-1)^3/3 + (-1)^2 - 8

= 5.083

In a similar way we calculate area from 0 to 2

this = 10.667.

Total = 15.75.

Now we subtract 12.13 to get the area from x = 2 to x =p.

= 15.75 - 12.13 = 3.62

So total shaded area = 15.75 + 3.62

= 19.37.

5 0

2 years ago