Factor the coefficient from 1.5a - 4.5

Step-by-step explanation:

Let's pretend our point is actually a complex number. That would make the point -2–3i. Why would we do this? Well, rotation of complex numbers is simply a matter of multiplication, in this case by 1∠−90° , or -i.

So to start, you shift the point of rotation to 0+0i, rotate it by multiplying, then shift it back to the axis of rotation.

z=−i[(−2−x0)+(−3−y0)i]+(x0+iy0)

=−3−y0+x0+(2+x0+y0)i

x=Rz

y=Iz

Thus the new point is at (−3+x0−y0,2+x0+y0)

hence (-3,2)

The equation that is parallel to 3x − 8y = 12 is y = (3/8)x - 4 so option (A) is correct.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given equation,

3x − 8y = 12

3x - 12 = 8y

y = (3/8)x - 12/8

By comparing y = mx + c

Slope m = 3/8

The parallel lines have the same slope thus y = (3/8)x - 4 will have the same slope of 3/8 so it will be parallel.

Hence "The equation that is parallel to 3x − 8y = 12 is y = (3/8)x - 4".

For more about the linear function,

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The complete question is below,

Which equation represents a line parallel to 3x-8y=12

A. y=3/8x-4

B. y=-3/8x-4

C. y=8/3x-4

D. y=-8/3x-4​

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Explanation:

Let's start off converting the mixed number 12 & 1/4 to an improper fraction.

[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\12 \frac{1}{4} = \frac{12*4+1}{4}\\\\12 \frac{1}{4} = \frac{49}{4}\\\\[/tex]

Do the same for the other mixed number 2 & 1/3.

[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\2 \frac{1}{3} = \frac{2*3+1}{3}\\\\2 \frac{1}{3} = \frac{7}{3}\\\\[/tex]

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From here, we divide the two fractions. I converted them to improper fractions to make the division process easier.

[tex]\frac{49}{4} \div \frac{7}{3} = \frac{49}{4} \times \frac{3}{7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{49\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 7\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 3}{4}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{21}{4}\\\\[/tex]

The last step is to convert that result to a mixed number.

[tex]\frac{21}{4} = \frac{4*5+1}{4}\\\\\frac{21}{4} = \frac{4*5}{4}+\frac{1}{4}\\\\\frac{21}{4} = 4+\frac{1}{4}\\\\\frac{21}{4} = 5 \frac{1}{4}\\\\[/tex]

Note that 21/4 = 5.25 and 1/4 = 0.25 to help check the answer.

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Therefore, she can make 5 cakes. The fractional portion 1/4 is ignored since we're only considering whole cakes rather than partial ones.

Answer:

-2

Step-by-step explanation:

2(x-3), x=2

Since we know what x equals, plug it into the equation

2(2-3)

2(-1)

-2

Answer:

2(2-3)

4-3

1

Step-by-step explanation:

[tex]2(2 - 3) \\ 4 - 3 \\ 1[/tex]

Answer:

8

Step-by-step explanation:

1+1+1+1+1+1+1+1=8

take 4 ones and group them into 2 groups gives you 8

The number of miles covered every evening obtujwd using a system of equation is 15 miles.

Let the number of miles per evening = m

Using the expression below :

Number of days(miles per morning + miles per evening) = 115 miles

5(8 + m) = 115

40 + 5m = 115

5m = 115 - 40

5m = 75

m = 75 / 5

m = 15 miles

Therefore, the Number of miles covered per evening is 15 miles.

Learn more : https://brainly.com/question/18796573

Answer:

(a+6)²

by identity (a+b)²=a²+2ab+b²

(a+6)²= a²+ 2×a×6 + 6²

= a²+ 12a + 36

(2a)²+5a = 4a²+5a

Answer:

f(-1) = 1

Step-by-step explanation:

f(-1) just means you plug -1 into the equation:

-3x + 2x

-3(-1) + 2(-1)

3 - 2

1

Hopefully this helps!

Brainliest please?

[tex]5x + 3 = - 9 \\ = > 5x = - 9 - 3 \\ = > 5x = - 12 \\ = > x = \frac{ - 12}{5} \\ = > x = - 2 \frac{2}{5} [/tex]

Option A .

[tex] - 2 \frac{2}{5} [/tex]

Average: about 87%

Her english grade affects her average because it is the lowest out of all of the grades which brought her average grade down.

not sure about this: To bring her average higher, she should probably try more in english or study. (not sure about this one)

Step by Step:

Add up all of her scores:

86 + 72 + 93 + 87 + 93 + 100 + 80

it equals 611

Since we added up 7 scores, we divide 611 by 7

611 divided by 7 is 87.285...

So her average is about 87%

Answer:

Slope is 0

Step-by-step explanation:

First, find the difference in the x and y of each point by subtraction.

8 - (-2) = 10

9 - 9 = 0

Because the y value doesn't change in between these two points, that indicates the slope is 0

Answer:

Knowns:

initial velocity (v₀) = 0

final velocity (v₁) = 100 km/h

acceleration (a) = 9.00 m/s²

Unknowns: how long the acceleration took (Δt) = ?

Step-by-step explanation:

Use one of the kinematics equations to find what you're looking for.

This equation with a little algebra should help

v₁ = v₀ + aΔt

Answer:

B

Step-by-step explanation:

the roots are the x-values where the graph intersects the x-axis. to find the roots replace y with 0 and solve for x

Step-by-step explanation:

3360832553 pass wZE2XQ

Answer:

Step-by-step explanation:

c. (18.5-17)/.9= 1.66666666667= 1.6667

d. .7107

e. .2185

f.  0.675=(x-17)/.9 x= 17.6075

Answer:

The vertex is (-5,-1)

Step-by-step explanation:

f(x) = 4(x+5)²-1

This is written in vertex form

y = a(x-h)^2 +k  where ( h,k) is the vertex

f(x) = 4(x- -5)²-1

H is -5 and k = -1

The vertex is (-5,-1)

length is 84

c 35 is hypotenuse

equals 120 neareast tenth

9514 1404 393

Answer:

  28

Step-by-step explanation:

The diagonals of the parallelogram are AC and BD. The way the diagram is drawn, BD is the long diagonal, said to be 24 inches. AC is the short diagonal, said to be 12 inches.

Since AC bisects BD at point E, point E is the midpoint of BD. That means BE = (24 inches)/2 = 12 inches.

Since BD bisects AC at point E, point E is the midpoint of AC. That means EC = (12 inches)/2 = 6 inches.

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Now, we know the lengths of the sides of ΔBEC, so we can find its perimeter. The perimeter of any geometry is the sum of the lengths of its sides.

  perimeter ΔBEC = CB +BE +EC

  perimeter ΔBEC = 10 in + 12 in + 6 in = 28 in

The perimeter of triangle BEC is 28 inches.

Answer:

125

Step-by-step explanation:

5^3 = 5 x 5 x 5

5 x 5 x 5 = 25 x 5

25 x 5 = 125

answer:

125

step by step explaination:

5³

5×5×5 = 125

Answer:

-18

Step-by-step explanation:

b(12) = 4 - 2(12-1)

= 4 - 2(11)

= 4 - 22

= -18

Answer:

x = 131

Step-by-step explanation:

the angle adjacent to x on line l corresponds to 49° and are congruent, then

49 and x are adjacent and sum to 180° , that is

x + 49 = 180 ( subtract 49 from both sides )

x = 131

Answer:

they are perpendicular

Step-by-step explanation: