All categories

3 years ago

Compute the discriminant. Then determine the number and type of solutions for the given equation.

Mathematics

1 answer:

Neporo4naja [7]3 years ago

7 0

Answer:

Step-by-step explanation:

It's two unequal real solutions.

a = 1

b = 7

c = 6

discriminate = sqrt(7^2 - 4*1*6)

discriminate = sqrt(49 - 24)

discriminate = sqrt(25)

discriminate = 5

Now you cannot determine what this means unless you put it in the quadratic formula

x = (-7 +/- 5)/2

x = (- 7 + 5) / 2

x = - 2/2 = - 1

x = (-7 - 5)/2

x = -12/2

x = - 6

You see that you have two unequal reals.

You might be interested in

While rolling, a wheel with a diameter of 19/2 ft makes 133 revolutions. Find the distance that is traveled by the wheel. Use 22

mojhsa [17]

You just need to find the circumference (the outside of the wheel) and then multiply that by how many times it turned

circumference is d* pi so your diameter 19/2 times pi (22/7) is about 29.86 ft
times that by 133 and you get exactly 3971 feet

3 0

3 years ago

If someone is good at trigonometry, I will literally cash app you money to help me with answers on my quiz!!!

krek1111 [17]

Answer:

what p-by-step explanation:

Ok do you need help with

8 0

3 years ago

Determine if triangle ABC with coordinates A (0, 2), B (2, 5), and C (−1, 7) is an isosceles triangle. Use evidence to support y

kirill115 [55]

Answer:

The triangle ABC is an isosceles right triangle

Step-by-step explanation:

we have

The coordinates of triangle ABC are

A (0, 2), B (2, 5), and C (−1, 7)

we know that

An isosceles triangle has two equal sides and two equal internal angles

The formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

substitute in the formula

$d=\sqrt{(5-2)^{2}+(2-0)^{2}}$

$d=\sqrt{(3)^{2}+(2)^{2}}$

$dAB=\sqrt{13}\ units$

step 2

Find the distance BC

substitute in the formula

$d=\sqrt{(7-5)^{2}+(-1-2)^{2}}$

$d=\sqrt{(2)^{2}+(-3)^{2}}$

$dBC=\sqrt{13}\ units$

step 3

Find the distance AC

substitute in the formula

$d=\sqrt{(7-2)^{2}+(-1-0)^{2}}$

$d=\sqrt{(5)^{2}+(-1)^{2}}$

$dAC=\sqrt{26}\ units$

step 4

Compare the length sides

$dAB=\sqrt{13}\ units$

$dBC=\sqrt{13}\ units$

$dAC=\sqrt{26}\ units$

$dAB=dBC$

therefore

Is an isosceles triangle

Applying the Pythagoras Theorem

$(AC)^{2} =(AB)^{2}+(BC)^{2}$

substitute

$(\sqrt{26})^{2} =(\sqrt{13})^{2}+(\sqrt{13})^{2}$

$26=13+13$

$26=26$ -----> is true

therefore

Is an isosceles right triangle

8 0

3 years ago

Please answer this correctly

Alex Ar [27]

Answer:

Area of the figure = 254.5 cm²

Step-by-step explanation:

Area of rectangle = Length × Width

Area of triangle = 1/2(base × Height)

Dividing the figure into parts for convenience

So,

Rectangle 1 (the uppermost):

4 × 6 = 24 cm²

Rectangle 2 (below rectangle 1):

15 × 8 = 120 cm²

Rectangle 3 (with rectangle 2):

11 × 4 = 44 cm²

Triangle 1 :

1/2(7 × 19) = 133/2 = 66.5 cm²

Now adding up all to get the area of the figure:

Area of the figure = 24 + 120 + 44 + 66.5

Area of the figure = 254.5 cm²

5 0

3 years ago

What is the value of m? 3m ------ =12 7 M=?

DaniilM [7]

$\dfrac{3m}{7}=12\\
3m=84\\
m=28$

8 0

3 years ago

Read 2 more answers