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4 years ago

The system crosses at the point (3, 4). How many solutions will the system have?

1 answer:

6 0

For this case suppose that we have a linear system of equations of the form:
ax + by = c
dx + ey = f
The solution of the system is an ordered pair of the form:
(x, y)
That is, both lines intersect at a point.
The point of intersection in this case is:
(3, 4)
Therefore, the system has one solution.
Answer
the system will have:
one solution

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Leia cuts congruent triangular patches with an area of 63 square centimeters from a rectangular piece of fabric that is 27 centi

m_a_m_a [10]

- The triangular patches have an area of 63 cm² (A1= 63 cm²).
- The rectangular piece of fabric is 27 centimeters long and 21 centimeters wide.

1. Then, the first thing you must do is to calculate the area of the piece of fabric. The formula for the area of a rectangle is:

A2=LxW

L=27 centimeters (The lenght of the rectangle)
W=21 centimeters (The width of the rectangle)

2. When you substitute the values of L and W into the formula, you obtain:

A2=(27 cm)(21 cm)
A2=567 cm²

3. Then, let's calculate how many triangular patches she can cut from a rectangular piece of fabric:

A2/A1= 567 cm²/63 cm²= 9 triangular patches

4. Finally, you can calculate how many triangular patches she can cut from 33 rectangular pieces of the fabric:

(9 triangular patches)(33 pieces of fabric)=297 triangular patches

How many of the patches can Leia cut from 33 pieces of the fabric?

The answer is: 297 triangular patches

6 0

3 years ago

Please help! 10th grade geometry

yuradex [85]

Answer:

m∠C = 118°

Step-by-step explanation:

180 - 56 = 124°

124 ÷ 2 = 62°

180 - 62 = 118°

m∠C = 118°

5 0

2 years ago

Which of the following is a disadvantage to using graphs and diagrams? Check all that apply.

forsale [732]

The first answer is C. The information may be in a form that is difficult to use. And the second on is D. They must always be used with an equation.

4 0

3 years ago

Read 2 more answers

Suppose a football is kicked with an initial velocity of 82 ft/sec., at an angle of

satela [25.4K]

Answer:

The position P is:

$P = 87\^x + 75\^y$ ft Remember that the position is a vector. Observe the attached image

Step-by-step explanation:

The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity $s_0$ is:

$y(t) = y_0 + s_0t -16t ^ 2$

Where $y_0$ is the initial height = 0 for this case

We know that the initial velocity is:

82 ft/sec at an angle of 58 ° with respect to the ground.

So:

$s_0 = 82sin(58\°)$ ft/sec

$s_0 = 69.54$ ft/sec

Thus

$y(t) = 69.54t -16t ^ 2$

The height after 2 sec is:

$y(2) = 69.54 (2) -16 (2) ^ 2$

$y(2) = 75\ ft$

Then the equation that describes the horizontal position of the ball is

$X(t) = X_0 + s_0t$

Where

$X_ 0 = 0$ for this case

$s_0 = 82cos(58\°)$ ft / sec

$s_0 = 43.45$ ft/sec

$X(t) = 43.45t$

After 2 seconds the horizontal distance reached by the ball is:

$X (2) = 43.45(2)\\\\X (2) = 87\ ft$

Finally the vector position P is:

$P = 87\^x + 75\^y$ ft

6 0

3 years ago

Solve the equation R-3=28/R R=

geniusboy [140]

Remember that it's against our guidelines to copy content from other websites, books or any other material to which you don't own the rights to. We know you have the power to solve these problems on your own

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3 years ago