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3 years ago

Help plis 17. Find the sum of (10x + 3) and (- 4x - 2).

Mathematics

2 answers:

lidiya [134]3 years ago

5 0

(6x+1) ........ hope it help

OLEGan [10]3 years ago

4 0

Answer:

6x + 1

Step-by-step explanation:

1. (10x + 3) + (-4x -2) --> sum means to add.

2. Combine like terms --> 10x - 4x = 6x; 3 - 2 = 1.

3. 6x + 1

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Harriet lives on the ground level of her apartment building. The level she lives on is repersented as by?

sattari [20]

Answer:

zero

Explanation:

In any system:

the ground (base) is referred to as zero lever

what comes above the ground level would be positive

what comes below the ground level would be negative

Now, we are given that:

she lives on the ground floor.

Based on the above, the representation would simply be zero

Hope this helps :)

4 0

4 years ago

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HELP ME PLEASE solve the right triangle

Amiraneli [1.4K]

ST = 7.2

RT = 4.04

m∠S = 34°

Solution:

Given ΔRST is a right triangle.

RS = 6, ∠T = 56°

$$\csc A=\frac{\text {Hypotenuse} }{\text {Opposite side}}$

$$\csc A=\frac{ST}{RS}$

$$\csc 56^\circ=\frac{ST}{6}$

$$\csc 56^\circ \times 6=ST$

1.206 × 6 = ST

7.236 = ST

ST = 7.2

$$\cot A=\frac{\text {Adjacent side} }{\text {Opposite side}}$

$$\cot A=\frac{RT}{RS}$

$$\cot 56^\circ=\frac{RT}{6}$

$$\cot 56^\circ \times 6=RT$

0.674 × 6 = RT

4.044 = RT

RT = 4.04

To find the measure of angle S.

Sum of the interior angles of the triangle = 180°

m∠R + m∠S + m∠T = 180°

90° + m∠S + 56° = 180°

m∠S + 146° = 180°

m∠S = 180° – 146°

m∠S = 34°

8 0

3 years ago

In the xy-plane, the graph of function f(x) has zeros at −5, −2, and 2. Write the polynomial function.

Alona [7]

Answer:

$f(x) = x^3 +5x^2-4x-20$

Step-by-step explanation:

Given

$Zeros: -5,-2,2$

Required

The polynomial function

If a function has a, b and c as its zeros, the function is:

$f(x) = (x - a)(x - b)(x - c)$

So, we have:

$Zeros: -5,-2,2$

$f(x) = (x - (-5))(x - (-2))(x - 2)$

Open the inner brackets

$f(x) = (x +5)(x +2)(x - 2)$

Expand the difference of two squares

$f(x) = (x +5)(x^2 - 4)$

Expand

$f(x) = x^3 +5x^2-4x-20$

4 0

3 years ago

A wire 6 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the

zhenek [66]

Answer:

Used wire in circle x = 2.64 m

Used in square L - x = 3.36 m

Total wire used 6 m

Step-by-step explanation:

We have a wire of 6 meters long.

We will cut it a distance x from one end, to get two pieces

x and 6 - x

We are going to use the piece x to get the circle then

So Perimetr of a circle is 2π*r (r is the radius of the circle) then:

x = 2*π*r ⇒ r = x/2*π

And area would be A(c) = π* (x/2*π)² ⇒ A(c) = x²/4π

From 6 - x we will get a square, and as the perimeter is 4 times the side

we have

( 6 - x )/ 4 is the side of the square

And the area is A(s) = [( 6 - x ) /4]²

Total area as function of x is

A(t) = A(c) + A(s)

A(x) = x²/4π + [ ( 6 - x ) / 4 ]²

A(x) = x²/4π + (36 + x² - 12x) /16

A(x) = 1 / 16π [ 4x² + 36π + πx² - 12π x ]

Taking drivatives on both sides of the equation we get:

A´(x) = 1/ 16π [8x +2πx - 12π]

A´(x) = 0 ⇒ 1/ 16π [8x +2πx - 12π] = 0

[8x +2πx - 12π] = 0

8x + 6.28x - 37.68 = 0

14.28x - 37.68 = 0 ⇒ x = 37.68 /14.28

x = 2.64 m length of wire used in the circle

Then the length L for the side of the square is

(6 - x )/4 ⇒ ( 6 - 2.64 )/ 4 ⇒ 3.36 / 4

L = 0.84 m total length of wire used in the square is

3.36 m

And total length of wire used is 6 m

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5 0

3 years ago

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Luda [366]

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6 0

3 years ago

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