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iVinArrow [24]
2 years ago
11

Factor equation. answer is -47, just puzzled on how to get it. step by step

Mathematics
2 answers:
Dmitrij [34]2 years ago
4 0

Answer:

-47

Step-by-step explanation:

Original Equation:

f(-5)=3-2(-5)^2

Square the -5 (this cancels out the negative sign

f(-5)=3-2(25)

Multiply 2 and 25

f(-5) = 3-50

Subtract 50 from 3

f(-3) = -47

I'm a bit confused by what you mean factor the equation? Given the context. But I'm going to assume the equation is: f(x)=3-2x^2. Which isn't exactly factorable.

ella [17]2 years ago
3 0

Answer:

-47

Step-by-step explanation:

First you use PEMDAS, so you start with the exponent.

-5^2 = 25

Then you multiply the -2!!! Not the 2 with the 25, multiplying the 2 is a common mistake.

When you multiply the -2, it results in:

3 - 50

= -47

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What is the slope of a line that is perpendicular to the
alexgriva [62]

Answer:

The slope of a line that is perpendicular to the line

shown in the graph is = 4

Hence, option 'd' is true.

Step-by-step explanation:

From the line equation, let us take two points

  • (0, 2)
  • (4, 1)

Finding the slope between two points

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(4,\:1\right)

m=\frac{1-2}{4-0}

m=-\frac{1}{4}

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be:

-\frac{1}{-\frac{1}{4}}=4

Thus, the slope of a line that is perpendicular to the line

shown in the graph is = 4

Hence, option 'd' is true.

5 0
3 years ago
ΔPQR has angle measurements of 80°, 50°, and 50°. What kind of triangle is ΔPQR?
trasher [3.6K]

Answer:

Isosceles Triangle; Acute Triangle

Step-by-step explanation:

Review your definitions of the different types of triangles:

acute triangle- a triangle that has three acute (less than 90 degrees) angles

obtuse triangle- a triangle that has an obtuse (greater than 90 degrees) angle.

right triangle- a triangle that had one right (90 degrees) angles

isosceles triangle- a triangle with two congruent sides and one unique side and angle.

equilateral triangle-  a triangle with three congruent sides and three congruent angles.

scalene triangle- a triangle with no congruent sides and no congruent angles.

With these definitions, we can classify ΔPQR as an isosceles acute triangle.

8 0
3 years ago
Please please please please please please please help me
Illusion [34]

Answer:

B -27

Step-by-step explanation:

7(-5)+ 6(2)-4

-35 +12-4

-23-4

-27

4 0
2 years ago
One evening 1400 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets cost ​$20 for covered pavilion seats a
Sidana [21]
The answer to the question

6 0
3 years ago
A bird has a mass of 26 g and perches in the middle of a stretched telephone line. (a) Show that the tension in the line can be
Semmy [17]

Answer:

a) is demonstrated below, b) T=1.462N, c) T=14.6N

Step-by-step explanation:

a) Refer to the attached diagram.

Since the bird is standing in the middle of the line and each half is a straight line, Ta=Tb, so we will call the tension T=Ta=Tb and Tay=Tby

By trigonometry Tay=Ta·Sinθ

Since the system is in equilibrium W=Tay+Tby then:

W=2·Tay=2·Ta·Sinθ=2·T·Sinθ

Since W=mg, being m the mass of the bird and g, gravity:

mg=2TSin\theta

Isolating T, we demonstrate that

T=\frac{mg}{2Sin\theta}

b) Replacing θ=5º, m=0.026kg and g=9.8m/s² in the last equation, we can get the tension in Newtons:

T=\frac{0.026*9.8}{2Sin5}=1.462N

c) With θ=0.5º

T=\frac{0.026*9.8}{2Sin0.5}=14.6N

7 0
3 years ago
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