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4 years ago

The system of equations graphed below has how many solutions ?

Mathematics

2 answers:

Aleks [24]4 years ago

6 0

Answer:

Option A. 0 solutions.

Step-by-step explanation:

The system of equations graphed has two equations.

$y=-\frac{3}{2}x+5$

and $y=-\frac{3}{2}-3$

Here equation 1 and 2 both have the same slope = -3/2

Therefore these lines are parallel.

Since parallel lines never meet at a point so the solutions of this systems of the equations will be zero.

Option A. 0 is the correct option.

amm18124 years ago

4 0

Their parallel so never

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Find x? Please can you help me explain. Thank you

VikaD [51]

Answer:

root3/ root2

Step-by-step explanation:

since this is a special right triangle (45, 45, 90) we can use right triangle rules. Basically, C in my photo is equal to the hypotenuse while A and B are equal to the sides. You can substitute your hypotenuse into the formula I gave you to find x.

B = C / root2

x = root3 / root2

hope this helped a little bit

7 0

3 years ago

PLz help I will give brainliest!!!!! and extra points

Natalija [7]

Hey there!

The answer to your question is $95.55$

Formulas:

Area of semi-circle = $\frac{1}{2}(\pi r^2)$

Area of rectangle = $lw$

Area of triangle = $\frac{bh}{2}$

Now solve:

semi-circle

$\frac{1}{2}\pi3^2$

$\frac{1}{2}\pi9$

$4.5\pi$

(We will use 3.14 as approx. for pi)

$4.5 * 3.14\\23.55$

rectangle

$10(6)\\60$

triangle

$\frac{4(6)}{2}$

$\frac{24}{2} \\12$

Now add them all together:

$23.55+60+12\\95.55$

Have a terrificly amazing day!

3 0

3 years ago

In this 2x3 grid, each lattice point is one unit away from its nearest neighbors. A total of 14 isosceles triangles(but not righ

pickupchik [31]

The area of a shape is the amount of space it can occupy.

The number of isosceles triangle in the grid is: $\mathbf{\frac{2x^2}{u^2}}$

The dimension of the grid is given as:

$\mathbf{Dimension = x\ by\ x}$

Calculate the area

$\mathbf{A_1 = x\ \times \ x}$

$\mathbf{A_1 = x^2}$

The area of each isosceles triangle is given as:

$\mathbf{A_2 = \frac 12u^2}$

The number (n) of the triangle in an x-by-x grid is:

$\mathbf{n = A_1 \div A_2}$

So, we have:

$\mathbf{n = x^2 \div \frac 12u^2}$

Express as products

$\mathbf{n = x^2 \times \frac{2}{u^2}}$

$\mathbf{n = \frac{2x^2}{u^2}}$

Hence, the number of isosceles triangle in the grid is: $\mathbf{\frac{2x^2}{u^2}}$

Read more about areas at:

brainly.com/question/16418397

8 0

3 years ago

Find two numbers whose product is 80 and whose sum is 18

Amanda [17]

Let X & Y be the two integers

X+Y=18 Y = 18-X

XY = 80

We can substitute 18-X for Y in the equation XY = 80

X(18-X) = 80

Distributing

18X - X2 = 80

Subtract 80 from both sides so that the equation is equal to 0

-X2 + 18X - 80 = 0

Multiply (or divide by -1 so that the leading coefficient is positive, not negative)

X2 - 18X + 80 = 0

We can factor this quadratic

(X-10)(X-8) = 0

Setting each factor equal to 0 we can solve for X.

X-10 = 0 X-8 = 0

X = 10 X = 8

The two integers are 8 and 10.Answer:

Step-by-step explanation:

7 0

3 years ago

One of two small restaurants is chosen at random with equally likely probability, and then an employee is chosen at random from

Karo-lina-s [1.5K]

Answer:

P(1 |F) = 10/17

Step-by-step explanation:

Let events

1 = restaurant 1

2 = restaurant 2

F = full-time worker chosen

P = part-time worken chosen

P(1 and F) = 1/2 * 10/16 = 5/16

P(2 and F) = 1/2 * 7/16 = 7/32

P( (1 or 2) and F ) = P(F) = 5/16+7/32 = 17/32

P(1 | F) Probability of choosing restaurant 1 given a full-time was chosen

= P(1 and F) / P(F)

= 5/16 / (17/32)

= 5/16 * 32/17

= 10 / 17

8 0

4 years ago