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3 years ago

What is the simplified form of this expression?

Mathematics

1 answer:

Rasek [7]3 years ago

3 0

Answer:

B. -7 $x^{2}$ + 3x + 5

Step-by-step explanation:

(-3 $x^{2}$ + x + 5) - (4 $x^{2}$ - 2x)

-3 $x^{2}$ + x + 5 - 4 $x^{2}$ - 2x

Combine like terms

-3 $x^{2}$ - 4 $x^{2}$ = -7 $x^{2}$

x - -2x = x + 2x = 3x

-7 $x^{2}$ + 3x + 5

I hope this helps :))

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The table below shows the linear relationship between the number of people at a picnic and the total cost of the picnic.

8_murik_8 [283]

The true statements are:

The independent variable is the number of people.
The rate of change is $8.67 per person.
As the number of people increases, the total cost of the picnic increases.

<h3>What are the true statements?</h3>

The independent variable is the variable that determines the value of the dependent variable. There is a positive relationship between the number of people at the picnic and the total cost. This is because it can be seen as the number of people at the picnic increases, the total cost changes.

Rate of change = total cost / number of people

$52 / 6 = $8.67

To learn more about independent variables, please check: brainly.com/question/26287880

#SPJ1

3 0

2 years ago

Justify the congruence between each of the following pairs of triangle.

Fantom [35]

Answer:

Refer to the attachment for the labelling of the triangles.

In △ABC & △PQR,

∠A = ∠R (equal pair of angles)

∠B = ∠Q (equal pair of angles)

AC = PR (equal pair of sides)

•°• △ABC ≅ △RQP (Angle-Angle-Side congruence property → AAS property)

Hope it helps ⚜

5 0

2 years ago

A plane flying over the ocean is on course to land on an aircraft carrier. The diagonal distance between the plane and the aircr

fomenos

Answer:

the plane's current height above the ocean is 3.42 miles

Step-by-step explanation:

Given that the diagonal distance between the plane and the aircraft carrier is 10 miles.

What we need to find is the vertical distance between the plane and the aircraft carrier which is the plane's current height above the ocean. This can be gotten using sine rule.

For sine rule, you need a side and its opposite angle. For this question the triangle formed is a right angle triangle with diagonal distance, vertical distance and horizontal distance.

let a = diagonal distance = 10 miles

let the opposite angle to the diagonal distance be A = 90° (right angle)

let the vertical distance = b

let the opposite angle to the vertical distance be B = 20°

Sine rule states that $\frac{a}{sin(A)} = \frac{b}{sin(B)}$