Determine the greatest common factor of the numbers 24 and 56

[tex]\boxed{35}~~ \begin{cases} I=2-7j\\ Z=4-3j \end{cases}\implies E=(2-7j)(4-3j) \\\\\\ \begin{array}{rllll} 4-3j\\ \times ~\hfill 2\\[-0.5em] \hrulefill\\ 8-6j \end{array}~~+ ~~ \begin{array}{rllll} 4-3j\\ \times ~\hfill -7j\\[-0.5em] \hrulefill\\ -28j+21j^2 \end{array}\qquad \implies 8-6j-28j+21j^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill E=21j^2-34j+8~\hfill[/tex]

[tex]\boxed{36}~~ \begin{cases} I=3+10j\\ Z=6-j \end{cases}\implies E=(3+10j)(6-j) \\\\\\ \begin{array}{rllll} 6-j\\ \times ~\hfill 3\\[-0.5em] \hrulefill\\ 18-3j \end{array}~~+ ~~ \begin{array}{rllll} 6-j\\ \times ~\hfill 10j\\[-0.5em] \hrulefill\\ 60j-10j^2 \end{array}\qquad \implies 18-3j+60j-10j^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill E=-10j^2+57j+18~\hfill[/tex]

Answer:

Option D

Step-by-step explanation:

It is a right triangle because AB ⊥ BC

Answer:

X-intercept: [tex](\frac{14}{3}, 0)[/tex].

Y-intercept: (0, 7) ⇒ Option B.

Step-by-step explanation:

I'm not certain whether the question asks for either the x-intercept or the y-intercept, but I will provide the answers for both since none of the given options matches the coordinates of the x-intercept.  

The x-intercept is the point on the graph where it crosses the x-axis, with coordinates of (a, 0).  The x-intercept is the value of x when y = 0.

Given the linear equation in standard form, 3x + 2y = 14, set y = 0 to solve for the x-intercept:

3x + 2y = 14

3x + 2(0) = 14

3x + 0 = 14

3x = 14

Divide both sides by 3 to solve for x:

[tex]\frac{3x}{3} = \frac{14}{3}[/tex]

[tex]x = \frac{14}{3}[/tex]

Therefore, the x-intercept is [tex](\frac{14}{3}, 0)[/tex].   None of the given option matches the value of the x-intercept.

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). It is the value of y when x = 0.

Set x = 0, and substitute into the given equation.

3x + 2y = 14

3(0) + 2y = 14

0 + 2y = 14

2y = 14

Divide both sides by 2 to solve for y:

[tex]\frac{2y}{2} = \frac{14}{2}[/tex]

y = 7

Therefore, the y-intercept is (0, 7), which matches Option B.

Answer:

Zoe is 6 years old.

Step-by-step explanation:

Vera - V

Zoe - Z

Paul - P

V = 3Z

Z = [tex]\frac{1}{3}V[/tex]

V = 2P

P = [tex]\frac{1}{2}V[/tex]

V + Z + P = 33

[tex]V + \frac{1}{3}V + \frac{1}{2}V = 33[/tex]

[tex]\frac{6}{6} V + \frac{2}{6}V + \frac{3}{6}V = 33[/tex]

[tex]\frac{11}{6}V = 33[/tex]

[tex]V = 33 * \frac{6}{11}[/tex]

[tex]V = 3 * \frac{6}{1}[/tex]

[tex]V = 18[/tex]

V = 3Z

18 = 3Z

Z = 6

Answer:

29 x 8 = 191

62 x 19 = 1,178

8.7 x 12 = 104.4

11.9 x 4 = 47.6

45 x 6 = 270

[tex] \Large{\boxed{\sf y = x - 7}} [/tex]

[tex] \\ [/tex]

We are given a linear equation, and we would like to express it in slope-intercept form.

[tex] \\ [/tex]

[tex] \Large{\left[ \begin{array}{c c c} \underline{\tt Slope-Intercept \: Form \text{:}} \\ ~ \\ \tt y = mx + b \end{array} \right] } [/tex]

Where:

[tex] \\ [/tex]

Given linear equation:

[tex] \sf 4y - 4x = -28 [/tex]

[tex] \\ [/tex]

To find the slope-intercept form of the equation, we have to solve for y.

First, add 4x to both sides of the equation:

[tex] \sf \longrightarrow 4y - 4x + 4x = -28 + 4x \\ \\ \\ \longrightarrow \sf 4y = 4x - 28 [/tex]

[tex] \\ [/tex]

Then, divide both sides of the equation by 4:

[tex] \sf \longrightarrow \dfrac{4y}{4} = \dfrac{4x - 28}{4} \\ \\ \\ \longrightarrow \sf y = \dfrac{4x}{4} - \dfrac{28}{4} \\ \\ \\ \longrightarrow \boxed{\boxed{\sf y = x - 7}} [/tex]

[tex] \\ [/tex]

[tex] \hrulefill [/tex]

[tex] \\ [/tex]

▪️Learn more about the slope-intercept form here:

↣https://brainly.com/question/26163957

First , Add 4x to both sides :

➱ [tex]\sf{4y-4x=-28}[/tex]

➱ [tex]\sf{4y=-28+4x}[/tex]

Next , Divide all terms by 4 to get y all alone

➱ [tex]\sf{y=-7+x}[/tex]

Rearrange so that our result matches the format for slope - intercept :

➱[tex]\sf{y = x +7}[/tex]

Henceforth, Equation : y = x + 7 .

Answer:

E = 120

F = 60

G = 120

H = 60

Step-by-step explanation:

Answer:

13.5%×50000=6750

this is interest paid on loan 6750

50000+6750=56750

The total amount paid

Answer:

50%

Step-by-step explanation:

The diagonal line divides the square in half

I hope this help you

Answer:

exposed by making a straight cut through a solid form, especially at right angles to an axis.

"the cross-sectional area of the wood"

or

constituting a typical or representative sample of a larger group.

"a cross-sectional survey of high school students"

ig

answer:

6.4

Step-by-step explanation:

4^2+5^2=c^2

16+25

square root of 41

c^2=6.4

Parameterize C by the two vector functions,

r(t) = (1 - t) (0, 0) + t (6, 0) = (6t, 0)

with 0 ≤ t ≤ 1, and

s(t) = (6 cos(t), 6 sin(t))

with 0 ≤ t ≤ π/2.

Then the line integral over C is equal to the sum of the line integrals over each path:

[tex]\displaystyle \int_C dS = \int_0^1 \|r'(t)\| \, dt + \int_0^{\frac{\pi}2} \|s'(t)\| \, dt[/tex]

[tex]\displaystyle \int_C dS = \int_0^1 \sqrt{6^2 + 0^2} \, dt + \int_0^{\frac{\pi}2} \sqrt{(-6\sin(t))^2 + (6\cos(t))^2} \, dt[/tex]

[tex]\displaystyle \int_C dS = 6 \int_0^1 dt + 6 \int_0^{\frac{\pi}2} dt[/tex]

[tex]\displaystyle \int_C dS = 6 + \frac{6\pi}2 = \boxed{6+3\pi}[/tex]

A≈62.35

..................

Answer:

volume=300m3

length=5m

width=300cm=300/100=3m

To find: height of tank .

so,

volume=l×b×h

300=5×3×h

300/15=h

finally,h=20m

Answer:

y = x + 4

Step-by-step explanation:

From point (-1, 3) to point (0, 4), go up 1 (rise = 1) and go right 1 (run = 1).

slope = m = rise/run = 1/1 = 1

The y-intercept is b = 4

y = mx + b

y = x + 4

Answer:

Step-by-step explanation:

x = 180 - 117 = 63°

y = 360 - 63 - 86 - 98 = 113°

Sum of angles along a line about a point on the line is 180°

Sum of internal angles on a quadrilateral is 360°

Answer:

Trial and error

Step-by-step explanation:

It can help you by testing mulitple solutions to decleare which one is best.

Answer:

w=[tex]\frac{V}{lh}[/tex]

Step-by-step explanation:

just divide lh from both sides

Answer:

A) no solution

Step-by-step explanation:

It’s A Contradiction

Answer:

its one solution

Step-by-step explanation:

-20+12

Answer: D

Step-by-step explanation:

Tim should expect to pay an extra $52.88 because he forgot to refuel the car. option D is correct.

Two or more expressions with an Equal sign is called as Equation.

The car that Tim rented needed 11.75 gallons of gas to refill to the same fuel level as indicated on the Check-Out sheet.

Since the rental agency charges $4.50 per gallon of gas plus a $5.00 refueling charge, the cost of refueling the car will be:

11.75 gallons x $4.50/gallon + $5.00

= $57.88

Therefore, Tim should expect to pay an extra $57.88 because he forgot to refuel the car. The correct answer is (d).

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

Answer:

0.5256

Step-by-step explanation:

X ~ B(10,0.75)

q = 1 - 0.75 = 0.25

Answer:

-6m and -6k

Step-by-step explanation:

(5k - 7) = -2k (k - 4) = -4k + -2k = -6k. (3m - 9) = -6m.

Expression 6k + 3m - 20 represents the perimeter, in centimeters, of the triangle which has side lengths of (5k - 7) centimeters, (k - 4) centimeters, and (3m - 9) centimeters.

1st side length = 5k - 7 centimeters

2nd side length = k - 4 centimeters

3rd side length = 3m - 9 centimeters

Now, the perimeter of a triangle is the sum of its three sides.

So, the expression representing the perimeter of the triangle would be the sum of these side lengths:

Perimeter = (5k - 7) + (k - 4) + (3m - 9)

Further, simplifying the expression by combining like terms:

Perimeter = 5k + k + 3m - 7 - 4 - 9

Perimeter = 6k + 3m - 20

So, the expression that represents the perimeter of the triangle is (6k + 3m - 20) centimeters.

Learn more about expression here:

https://brainly.com/question/28836554

#SPJ3

Answer:

The equation of the line is: x = 0

Answer:

Sum of the interior angles = 1260°.

Step-by-step explanation:

Sum of the interior angles =  (n - 2)180° where n= number of sides

Sum of the interior angles = (9-2)180

Sum of the interior angles = 1260°