Write an equation for a line perpendicular to y = 2 x + 5 y=2x+5 and passing through the point (-6,1)

Given the functions =−12 (2)x+3. Select all statements that are true.

Natali5045456 [20]

There ya go, the graphing

8 0

2 years ago

In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining

kykrilka [37]

Answer:

C

Step-by-step explanation:

Now, what we know is that the total distance from the dormitory to the city is 1 if expressed in fraction. What we need to know is the fraction of the journey that is scheduled as the last part.

We can get this by subtracting the fractions of the first two phases from 1.

This goes as follows:

1 - (1/5) - (2/3) = 2/15

Now, we know that the final 8 kilometers constitute a fraction of just 2/5

Hence, we know that 2/15 of the total journey is 8 kilometers.

Let the total journey distance be T. This means that 2/15 of T is 8km

2/15 * T = 8km

T = ( 8 * 15 )/2 = 120/2 = 60km

6 0

3 years ago

What is the area of a triangle with vertices at (−4, 1) , (−7, 5) , and (0, 1) ?

Mekhanik [1.2K]

Plot the points on a graph. Connect the dots into a triangle. See that the height of the triangle is from y=5 down to y=1. So the height is 4 units.
Area of a triangle: A = (1/2)BH

You need to find the length of the base. Which is from point (-4,1) to (0,1). You can use the distance formula r just see from the graph that the base is 4 units.

A = (1/2)(4)(4)
A = 8

** Distance formula fyi
d² = (X-x)² + (Y-y)²
with points (X,Y) and (x,y)

3 0

3 years ago

Mai invests $20,000 at age 20. She hopes the investment will be worth $500,000 when she turns 40. If the interest compounds cont

love history [14]

Answer:

$\approx$ 17.5% per annum

Step-by-step explanation:

Given:

Money invested = $20,000 at the age of 20 years.

Money expected to be $500,000 at the age of 40.

Time = 40 - 20 = 20 years

Interest is compounded annually.

To find:

Rate of growth = ?

Solution:

First of all, let us have a look at the formula for compound interest.

$A = P \times (1+\frac{R}{100})^T$

Where A is the amount after T years compounding at a rate of R% per annum. P is the principal amount.

Here, We are given:

P = $20,000

A = $500,000

T = 20 years

R = ?

Putting all the values in the formula:

$500000 = 20000 \times (1+\frac{R}{100})^{20}\\\Rightarrow \dfrac{500000}{20000} =(1+\frac{R}{100})^{20}\\\Rightarrow 25 =(1+\frac{R}{100})^{20}\\\Rightarrow \sqrt[20]{25} =1+\frac{R}{100}\\\Rightarrow 1.175 = 1+0.01R\\\Rightarrow R \approx17.5\%$

So, the correct answer is $\approx$ 17.5% per annum and compounding annually.

6 0

3 years ago

Gary has 23 quarters in his bank he saves 4 more quarters each week what will the total value of Gary’s bank be in four weeks??

geniusboy [140]

Answer:

39

Step-by-step explanation:

4 quarters x 4 weeks = 16 quarters

16 + 23= 39 quarters

8 0

3 years ago

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