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Dahasolnce [82]
2 years ago
11

Can someone please help me with this???

Mathematics
1 answer:
tino4ka555 [31]2 years ago
8 0

Answer:

1 cm

Step-by-step explanation:

To solve this problem we can use the Pythagorean theorem. In fact the diagonal of a rectangle is an hypotenuse of a right triangle, while the length is a leg. The width is the other leg

width = √2^2 - (√3)^2 = √4 - 3 = √1 = 1 cm

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
nasty-shy [4]

Answer:

f(x) = 1/(x+2) + 7

Step-by-step explanation:

The graph depicts the line of 1/x shifted to the left by 2 and up by 7.:

3 0
2 years ago
Consider the vectors v1, v2, v3 in R2. Vectors v1 and v2 are parallel.How many solutions x, y does the system xv1 + yv2 = v3 hav
ANEK [815]

We want to see how many solutions has an equation given some restrictions on the vectors of the equation.

We have 3 vectors in R2.

v₁, v₂, and v₃.

Where we know that v₁ and v₂ are parallel. And two vectors are parallel if one is a scalar times the other.

Then we can write:

v₂ = c*v₁

Where c is a real number.

Then our system:

x*v₁ + y*v₂ = v₃

Can be rewriten to:

x*v₁ + y*c*v₁ = v₃

(x + y*c)*v₁ = v₃

Assuming x, y, and c are real numbers, this only has a solution if v₁ is also parallel to v₃, because as you can see, the equation says that v₃ is a scallar times v₁.

Geometrically, this means that if we sum two parallel vectors, we will get a vector that is parallel to the two that we added.

If you want to learn more, you can read:

brainly.com/question/13322477

6 0
2 years ago
1) Your friend Taylor missed class today and needs some help identifying solutions of systems. Explain to Taylor where to find t
Mashcka [7]

Answer:

Ques 1:

Let us consider the system of equations,

2x+y=3 and 3x-y=2

It is known that 'The intersection points of the graphs of the system of equations are the solutions of the system of equations'.

So, after plotting the given graphs, we see that from the first graph,

The only intersection point is (1,1).

Thus, the solution of the system is x= 1 and y= 1.

Ques 2:

We have the functions, f(x)= 2x+1 and g(x)= 2x^2+1.

Plotting the graphs of both the functions is shown by graph 2, we see that,

The intersection points are (0,1) and (1,3)

Hence, the function have equal values only at x= 0 and x= 1 but not at x= 3.

8 0
3 years ago
Michael obtains a 30/8 balloon mortgage to finance $425,500 at 6.55%. How much principal and interest will he have already paid
STALIN [3.7K]

Answer:

$259 532  

Step-by-step explanation:

Step 1. Calculate the monthly payments on a 30-year loan.

The formula for the monthly payment (P) on a loan of A dollars that is paid back in equal monthly payments over n months, at an annual interest rate

of r % is

P = A(\frac{r}{1-(1+r)^{-n}})

<em>Data: </em>

We must express the interest rate on a monthly basis.

i = 6.55 %/yr = 0.545 83 %/mo = 0.005 4583

A = $425 500

n = 360 mo

<em>Calculation: </em>

P = 425 500(\frac{0.005 4853}{1-(1+0.005 4583)^{-360}})

P = \frac{2332.22}{{1- {1.005 4583}}^{-360}}

P = \frac{2332.52}{1 – 0.140907}

P = \frac{2332.52}{0.859 093}

P = $2703.46

B. Total Payment (T) after 8 years

T = nP

T = 96 × 2703.46

T = $259 532

Michael will have paid $259 532 at the end of eight years.

4 0
3 years ago
Express 40cm as a<br>percentage of 8m​
I am Lyosha [343]

Step-by-step explanation:

8m =800m

in percentage=40÷800×100

= 5%

4 0
3 years ago
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