Fill in the blank with the correct response.

If x:6 as 3:9, then x is equal to .

Answer:

The literals are; a, b, and c

The constants are; c, and 3

The variables are; x, and y

Step-by-step explanation:

The literals (numbers) are letters which represent numbers in an expression or equation, and to which mathematical operations, including, addition, subtraction, division, and multiplication can be applied

The given equation is a·x² + b·x + c - y + 3 = 0

The literals are;

'a', 'b', and 'c'

The constants are the values that remain the same always in an equation and does not change

The constants are;

'c', and '3'

The variables are the values that vary in relation to one another

The variables are;

'x', and 'y'

Answer:

What is the slope of the line that is parallel to the given line and passes through the given point?

-1/4

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?

y + 4 = -1/4(x + 2)

What is the y-intercept of the line that is parallel to the given line and passes through the given point?

-9/2

Step-by-step explanation:

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The equation of the line in point slope for is expressed as [tex]y - 2 = 3/2(x - 2)[/tex]

Since the line cross the y-axis at -1, hence the y-intercept of the line that is parallel to the given line and passes through the given point is (0, -1)

The equation of a line in point-slope form is expressed as:

y - y0 = m(x - x0)

m is the slope

(x0, y0) is any point on the line

Using the coordinate points (2, 2) and (-2, -4)

Determine the slope

Slope = -4-2/-2-2
Slope = -6/-4
Slope = 3/2

Using the point (2, 2), the equation of the line in point slope for is expressed as:

[tex]y - 2 = 3/2(x - 2)[/tex]

Since the line cross the y-axis at -1, hence the y-intercept of the line that is parallel to the given line and passes through the given point is (0, -1)

Learn more on equation of a line here: https://brainly.com/question/18831322

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Answer:

1

----------

x+1

Step-by-step explanation:

2x+12

----------------

2x^2 + 14x+12

Factor

2(x+6)

-------------------

2(x^2+7x+6)

2(x+6)

--------------

2(x+6)(x+1)

Cancel like terms

1

-------------

(x+1)

Answer:

[tex]\frac{n+t}{4}[/tex]

Step-by-step explanation:

(n+t) divided by 4

The equation would be [tex]\frac{n+t}{4}[/tex]

Hope this helps

Answer:

(n+t)/4

Step-by-step explanation:

Solve for y in the first equation.

Answer:

90 hours of training would you need to pay

Answer:

90hours

Step-by-step explanation:

Addition of 10 hours= Addition of 150$

an=a+(n-1)d

2450=1250+(n-1)(150)

120/15=n-1

8+1=n

n=9

and 9x10=90 (each n=10hours)

Thus:

B. 90 hours

Brianliest please

Answer:

150°

Step-by-step explanation:

2x+x+90=180

3x=90

x=30

z= 180-x = 180-30 = 150°

Answer:

If cashews cost $5.60 per pound and peanuts cost $2.30 per pound, how many pounds of each must he mix?

Step-by-step explanation:

Answer:

[tex]a = 18x[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}(a + d) = 10x[/tex]

[tex]\frac{1}{2}(b + c) = 8x[/tex]

[tex]\frac{1}{3}(b + c+d) = 6x[/tex]

Required

The value of (a)

We have:

[tex]\frac{1}{2}(a + d) = 10x[/tex] --- multiply by 2

[tex]\frac{1}{2}(b + c) = 8x[/tex] --- multiply by 2

[tex]\frac{1}{3}(b + c+d) = 6x[/tex] --- multiply by 3

So, we have:

[tex]\frac{1}{2}(a + d) = 10x[/tex]

[tex]a + d = 20x[/tex]

[tex]\frac{1}{2}(b + c) = 8x[/tex]

[tex]b + c = 16x[/tex]

[tex]\frac{1}{3}(b + c+d) = 6x[/tex]

[tex]b + c + d= 18x[/tex]

Substitute [tex]b + c = 16x[/tex] in [tex]b + c + d= 18x[/tex]

[tex]16x + d = 18x[/tex]

Solve for d

[tex]d = 18x - 16x[/tex]

[tex]d = 2x[/tex]

Substitute [tex]d = 2x[/tex] in [tex]a + d = 20x[/tex]

[tex]a + 2x = 20x[/tex]

Solve for (a)

[tex]a = 20x - 2x[/tex]

[tex]a = 18x[/tex]

Answer: Its B

Explanation: took the quiz

[tex]\longrightarrow{\pink{ B. \:2\sqrt[3]{3} }}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

[tex]= {24}^{ \frac{1}{3} } [/tex]

[tex] = \sqrt[3]{24} [/tex]

[tex] = \sqrt[3]{2 \times 2 \times 2 \times 3} [/tex]

[tex] = \sqrt[3]{ ({2})^{3} \times 3} [/tex]

[tex] = 2\sqrt[3]{3} [/tex]

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Answer:

the answer to the question is 12cm

1) angle HJI

2) angle IJH

Answer:

6w83ywytahausjsshshfwgwyee

1 km = 1000 meters

2 km = 2 x 1000 = 2,000 meters

Area = length x width

Area = 2,000 x 8.3 = 16,600 square meters

Cost:

Multiply total area by cost per square meter:

16,600 x 30 = £498,000

Answer:

a solution of the system is the point that satisfies both the equations

(1, -1) is a solution of the system

Answer:

BC= 5 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remember that the mean is average

Ex. Set A

Add then divide by the 8

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

y^2 - 4y + y - 4

y^2 - 3y - 4

Answer:

The length if the garden is 21 meters.

The width of the garden is 5.25 meters.

If the scale changes to 1 cm : 9 meters, the new length of the garden is 63 meters and the new width of the garden is 15.75 meters.

The new length of the garden is 3 times as long as the original length of the garden.

Answer:

D/4 - 21

C/3 - 5.25

D/4 - 63

C/3 - 15.75

B/2 - 3

Step-by-step explanation:

Answer:

1. The new weight of elephant is 5.342 tones.

3. The number of red flowers are 280.

Step-by-step explanation:

1. weight of elephant = 6 tons

weight lost = 1450 pounds

As , 1 pound = 0.000454 ton

So, 1450 pounds = 0.658 ton

The new weight of elephant is

= 6 - 0.658 = 5.342 tones

3.

red flower to the yellow flower is 5 : 7

Number of yellow flowers = 392

Let the red flowers are R.

So,

[tex]\frac {5}{7}=\frac{R}{392}\\\\R = 280[/tex]

Answer:  180(n-2)

You use the distribution rule to factor

The distribution rule is a(b+c) = a*b+a*c

Answer:

[tex]Area = 52\sqrt3 \ ft^2[/tex]

Step-by-step explanation:

Area of trapezoid

                         [tex](\frac{a+ b}{2}) \times h[/tex]      -----------( 1 )

We will split the trapezoid into Triangle and rectangle. To find the height and full length of base.

[tex]sin 60 = \frac{opposite}{hypotenuse}[/tex]   [tex][ opposite \ in \ the \ equation \ \ is \ the \ height \ of \ the \ trapezoid ][/tex]

[tex]\frac{\sqrt3}{2} = \frac{opposite }{ 8}\\\\\frac{\sqrt3}{2} \times 8 = opposite\\\\4\sqrt3 = opposite[/tex]

Therefore, h = 4√3 ft

[tex]cos 60 = \frac{adjacent}{hypotenuse}[/tex]    [tex]adjacent \ in \ the\ equation \ is \ the\ base \ of \ the \ triangle ][/tex]

[tex]\frac{1}{2} = \frac{adjacent}{hypotenuse}\\\\\frac{1}{2} \times 8 = adjacent\\\\4 = adjacent[/tex]

Therefore, a = 11 feet, b = 11 + 4 = 15 feet

Substitute the values in the Area equation :

                                                [tex]Area = \frac{11 + 15}{2} \times 4 \sqrt3 = \frac{26}{2} \times 4\sqrt3 = 13 \times 4\sqrt3=52\sqrt3 \ ft^2[/tex]

Answer:

Factoring square root method quadratic formula completing the square method . x1=3+(check)3 and x2=3-(check)3 .

Step-by-step explanation:

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Question options:

A. The mean is the best comparison of the measures of center.

B. The juniors tended to have higher essay scores than the sophomores.

C. The medians of both data sets are equal.

D. The interquartile range is the best comparison of the measure of variability.

E. A histogram is the best way to show that both distributions are nearly symmetric.

Answer:

B. The juniors tended to have higher essay scores than the sophomores.

C. The medians of both data sets are equal.

E. A histogram is the best way to show that both distributions are nearly symmetric.

Explanation:

A histogram is used to represent data in a bar graph like manner. In a histogram, the bars lie along the x axis, each within the range of intervals while the y axis is used to count the frequency of occurrence that determines the area of each bar in the graph. Using a histogram, we can find B, C, and E from the options given above.

Answer:

[tex]cot\theta=-\frac{5}{12}[/tex]

Step-by-step explanation:

We are given that the point (5,-12) lies on the terminal side of an angle theta in standard position.

We have to find the exact value of [tex]cot\theta[/tex].

Let

Point (x,y)=(5,-12)

[tex]r=\sqrt{x^2+y^2}[/tex]

Substitute the values

[tex]r=\sqrt{5^2+(-12)^2}[/tex]

[tex]r=\sqrt{169}=13[/tex]

We know that

[tex]cot\theta=\frac{x}{y}[/tex]

Using values

[tex]cot\theta=-\frac{5}{12}[/tex]

Answer:

bottom ans , because a⁶+a¹ = a⁷

also (•) this symbols related to x (times/multiply) and x is consider as +

Answer:

6

Step-by-step explanation:

f(2) = (2 + 1)2

(3)2

6

Answer:

6

Step-by-step explanation:

f(2) = (2+1)*2, f(2) = 3*2 = 6