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2 years ago

What is the slope of a line parallel 18x+15y=90

Mathematics

2 answers:

luda_lava [24]2 years ago

5 0

Answer:

-6/5

Step-by-step explanation:

Get y by itself to get the slope. So 18x+15y=90. Move 18x to the other side of the equation. Now you have 15y=-18x+90. Divide both sides by 15 to get y by itself. Now it's y= -18/15x + 6. Reduce -18/15 to the simplest fraction. You have y= -6/5x+6. Any number can replace the 6 in the equation to give you a parallel line...it's the slope that makes it parallel, not the y intercept. So y= -6/5x+10 or y=- -6/5x-1 would satisfy your parallel slope equation.

Mrrafil [7]2 years ago

3 0

Answer:

$\displaystyle -1\frac{1}{5}$

Step-by-step explanation:

$\displaystyle 18x + 15y = 90 \hookrightarrow \frac{15y}{15} = \frac{-18x + 90}{15} \\ \\ \boxed{y = -1\frac{1}{5}x + 6}$

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so −1⅕ remains as is.

I am joyous to assist you at any time.

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The figure shows two intersecting lines and the measures of the resulting angles. Write an equation to help you solve for x. The

Svetlanka [38]

Given:

The given figure shows the intersection of the two lines.

The angles formed by the intersection of the two lines are (3x - 8)° and (2x + 12)°

We need to determine the equation to solve for x and to find the value of x.

Equation to solve for x:

Since, the two angles (3x - 8)° and (2x + 12)° are vertically opposite angles and the vertical angles are always equal.

Hence, we have;

$3x-8=2x+12$

Thus, the equation to solve for x is $3x-8=2x+12$

Value of x:

The value of x can be determined by solving the equation $3x-8=2x+12$

Thus, we have;

$x-8=12$

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4 years ago

Could someone plz help I need the answers by tonight

Maksim231197 [3]

Answer:

7) C) PQR ≈ TSR

8) B) 3

9) D) 102 ft

10) D) 21

11) C) 45

Step-by-step explanation:

7) C) PQR ≈ TSR

8) 2 * 6 = 12

so 4x = 12

x = 3

24/20 = x/85

x = 24 * 85 / 20

x = 202 ft

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QT/35 = 24/40

QT/35 = 3/5

QT = 35 * 3 / 5

QT = 21

11)

ΔKLM ≈ΔXYZ

9/4 = 2.25

XY = 9 ---> given

YZ = 7 * 2.25 = 15.75

XZ = 9 * 2.25 = 20.25

Perimeter ΔXYZ = 9 + 15.75 + 20.25 = 45

7 0

3 years ago

Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

$15x(x^2-x-6)=0$

Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .

$15x(x^2-3x+2x-6)=0$

$15x((x^2-3x)+(2x-6))=0$

$15x(x(x-3)+2(x-3))=0$

$15x(x-3)(x+2)=0$

Now, we will use zero product property to find the zeros of our given function.

$15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0$

$15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0$

$\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0$

$x=0\text{ (or) }x=3\text{ (or) }x=-2$

Therefore, the zeros of our given function are $x=-2,0,3$ .

7 0

4 years ago

How many centimeters make up a triangle.

Eva8 [605]

Answer:

120cm

Step-by-step explanation:

A triangle has a perimeter of 120 cm and two sides of 30 cm and 40 cm. Calculates the area. A right triangle has a cathetus of 10 cm and the hypotenuse 26 cm.

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