Can someone please help me!!

Can Someone Please Help Me!!

Answers

Answer 1

Answer:

x = 6

Step-by-step explanation:

Use Angle Bisector theorem (look at the picture).

We have the equation:

[tex]\dfrac{3}{x}=\dfrac{x-4}{4}[/tex]        cross multiply

[tex]x(x-4)=(3)(4)[/tex]          use the distributive property

[tex]x^2-4x=12[/tex]           subtract 12 from both sides

[tex]x^2-4x-12=0\\\\x^2+2x-6x-12=0\\\\x(x+2)-6(x+2)=0\\\\(x+2)(x-6)=0\iff x+2=0\ \vee\ x-6=0[/tex]

[tex]x+2=0[/tex]        subtract 2 from both sides

[tex]x=-2<0[/tex]

[tex]x-6=0[/tex]       add 6 to both sides

[tex]x=6[/tex]

Can Someone Please Help Me!!

Related Questions

The answer is need is for number 8

Answers

Answer: I make 15 dollars every week at my job

Step-by-step explanation: your x is likely representing a time like weeks and your y is most likely going to be the amount of something like money. so if x increases by one every time and y increases by 15 every time your scenario could be i make 15 dollars every week at my job.

what is the midpoint of a line segment joining the points (5,-4)(-13,12)​

Answers

To find the midpoint, add the 2 x values together and divide by 2, then add the 2 Y values together and divide by 2.

(5-13)/2, (-4+12)/2

-8/2 , 8/2

-4,4

The answer is (-4,4)

(-4,4) is the answer

What is the angle of depression from B to C?

Answers

Answer:

That is < 3.

Step-by-step explanation:

It is the angle between the (dotted)  horizontal  from B and the line going B and C.

Can anyone help me? Which function is graphed on the right?
Y=2^x+3-2
Y=2^x-3+2
Y=2^x-2+3
Y=2^x-2-3

Answers

Answer:

[tex]y=2^{\left(x-2\right)}+3[/tex]

Step-by-step explanation:

To solve this problem, we need to start with the parent function of the exponential function, which is [tex]f(x)=a^x[/tex], where [tex]a[/tex] is the base. In our problem, [tex]a=2[/tex], so our parent function here is [tex]y=2^x[/tex]. Then, we need to perform some transformations to our parent function. Thus:

1. Vertical shrink:

A vertical shrink is a nonrigid transformation because the graph of the function get a distortion in the shape, so this transformation is as follows:

[tex]g(x)=cf(x)[/tex]

where [tex]c[/tex] in this problem equals 0.25 because:

[tex]y=0.25(2^x) \\ \\ y=\frac{1}{4}(2^x) \\ \\ y=\frac{2^x}{2^2} \\ \\ y=2^{(x-2)}[/tex]

2. Vertical shift:

The graph of the function [tex]y=2^{(x-2)}[/tex] get a vertical shift given by:

[tex]y=2^{(x-2)}+3[/tex]

So the graph is shifted 3 units up. So the result is the graph shown above.

Answer:

The answer is C

Step-by-step explanation:

Please help me!!! 6 points! Find the vertical shift

Answers

Answer:

0.009 units in the positive y direction.

Step-by-step explanation:

Vertical shift is simply the value of the constant.

In this case, if you expand the formula by multiplying 0.9 into the parentheses,

y = 0.9 sin [(π/3) - x] + (0.9)(0.01)

y = 0.9 sin [(π/3) - x] + 0.009

Here the value of the constant is 0.009 and it is positive, hence the vertical shift is 0.009 units in the positive y direction.

The measures of the legs of a right triangle are 15m and 20m . What is the length of the hypotenuse

Answers

Answer:

25 m

Step-by-step explanation:

Use the Pythagorean Theorem.

a^2+b^2=c^2

Or just know you are finding the hypotenuse and use c=sqrt(a^2+b^2)

If you were finding a leg use a=sqrt(c^2-b^2).

So sqrt(15^2+20^2)

=sqrt(225+400)

=sqrt(625)

=25

The equation of line AB is y = 2x + 4. Write an equation of a line parallel to line AB in slope-intercept form that contains point (3, −2). (4 points) y = 2x + 4 y = negative 1 over 2 x − 1 over 2 y = − 1 over 2 x − 7 over 2 y = 2x − 8

Answers

ANSWER

[tex]y = 2x - 8[/tex]

EXPLANATION

To find the equation of a straight line, we need the slope and a point on that line.

We were given the equation of another line that will help us determine the slope . The given line has equation:

[tex]y = 2x + 4[/tex]

This equation is of the form

[tex]y = mx + b[/tex]

where

[tex]m = 2 \: \: is \: the \: \: slope.[/tex]

Since our line of interest is parallel to this line, their slopes are the same.

The line also contains the point (3,-2).

So we substitute the slope and point into the slope-intercept formula:

[tex] - 2= 2(3)+ b[/tex]

[tex] - 2 =6 + b[/tex]

[tex] \implies \: b = - 2 - 6 = - 8[/tex]

The required equation is

[tex]y = 2x - 8[/tex]

Final answer:

The equation of a line parallel to y = 2x + 4 and passing through the point (3, −2) is y = 2x − 8.

Explanation:

To find the equation of a line parallel to line AB with the equation y = 2x + 4 that passes through the point (3, −2), we need to use the fact that parallel lines have the same slope. Line AB has a slope of 2, so our new line will also have a slope of 2. Now, we use the point-slope form of a line: y − y1 = m(x − x1), where (x1, y1) is the point the line passes through and m is the slope. Substituting our point and slope in, we get y − (−2) = 2(x − 3). Simplifying, we get y + 2 = 2x − 6, and after moving the 2 to the other side, the final equation in slope-intercept form is y = 2x − 8.

a wall is 8 feet tall and 36 feet wide. tom wants to cover it with white paint that costs 2 dollars per ounce. if each ounce of paint can cover approximately 72 square inches of area, how much would it cost to buy enough paint to cover the entire wall

Answers

Answer:

1152

Step-by-step explanation:

First we need to find the area of the wall in square inches

8 ft = 8*12 = 96 inch tall

36 ft = 36 * 12 = 432 inches wide

The area = 96 * 432 =41472 in^2

Each ounce of paint cover 72 in^2 so divide by 72

41472/72 =576

We need 576 ounces to cover the wall

At 2 dollars per ounces

576*2 =1152 dollars to paint the wall

Mustafa is flying his kite, and Ana is watching. From Ana's perspectively there is an angle of 109 degree between Mustafa and his kite. From Mustafa's perspective, there is an angle of 47 degree between Ana and the kite. If the length of the string between Mustafa and the kite is 46 m, how far is Ana from the kite? Do not round during your calculations. Round your final answer to the nearest meter.

Answers

Answer:

[tex]36\ m[/tex]

Step-by-step explanation:

Let

x -----> the distance of Ana from the kite

we know that

Applying the law of sines

[tex]\frac{46}{sin(109\°)}=\frac{x}{sin(47\°)}\\ \\x=(46)sin(47\°)/sin(109\°)\\ \\x=35.58\ m[/tex]

round to the nearest meter

[tex]35.58=36\ m[/tex]

The price of product of a company increases by
10% and the turnover increases by 10%. What is
the change in quantity sold?
a. 10%
b. 8%
C. 20%
d. no change​

Answers

Answer:

d.no change

Step-by-step explanation:

There will be no change in the quantity of products sold.

Option D will be the correct answer.

How do find out the change in quantity sold?

Given that the turnover is increased by 10 % when the price increases by 10 %.

Let us consider that the price of the product is x and the quantity sold is n numbers. Then the turnover t will be given as,

[tex]t = x\times n[/tex]

An increase in the price of the product is 10 % results in an increase in turnover by 10%. Hence the increased price is,

[tex]x' = x+\dfrac{10}{100}\times x[/tex]

[tex]x' = 1.1 x[/tex]

Hence new turnover will be,

[tex]t'= x\times n + \dfrac {10}{100} \times x\times n[/tex]

[tex]t'= 1.1\times x\times n[/tex]

The quantity sold can be calculated by dividing the new turnover by the increased price of the product. Thus, the new quantity of the product will be,

[tex]n' = \dfrac {t'}{x'}[/tex]

[tex]n' = \dfrac {1.1\times x\times n}{1.1\times x}[/tex]

[tex]n' =n[/tex]

We can see that the quantity of the product sold remains unchanged.

Hence option D will be the correct answer, there will be no change in the quantity of product sold.

To know more about the price and quantity, follow the link given below.

https://brainly.com/question/13953486.

Cook-n-Serve carries oven mitts that have a selling price of $13.80 a pair. Cook-n-Serve buys the mitts from a wholesaler and receives a 40% trade discount. What is the markup rate on cost and the markup rate on selling price?

Answers

Answer:

The oven mitts cost

$13.80

But, Cook-n-Serve buys from a wholesaler, so they receive a discount of 40%

This means that they pay

(1-0.4)*($13.80) = 0.6*($13.80) = $8.28 for each pair

The markup rate on cost is 60%

And they sell for

$13.80/$8.28 = 1.67 times the price

1.67*100% = 167%

The markup rate on selling price is  167%

4(a + 2) = 14 – 2(3 – 2a)

–2


–1


no solution

all real numbers

Answers

All real numbers.

[tex]\boxed{TRUE}[/tex]

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

Expand: 4(a+2)=4a+8

Expand again: 14-2(3-2a)=4a+8

4a+8=4a+8

You subtract by 8 from both sides of an equation.

4a+8-8=4a+8-8

Simplify.

4a=4a

Then, subtract by 4a from both sides of an equation.

4a-4a=4a-4a

Finally, simplify.

4a-4a=0

0=0

True

All real numbers is the final answer.

Hope this helps you!

Have a nice day! :)

Which shows the expressions rewritten with a common denominator?
x-5/x+3 and 4/x-3

Answers

Final answer:

The expressions (x-5)/(x+3) and 4/(x-3) can be rewritten with a common denominator of (x+3)(x-3) to become ((x-5)(x-3))/((x+3)(x-3)) and 4(x+3)/((x+3)(x-3)).

Explanation:

The expressions stated are: (x-5)/(x+3) and 4/(x-3). In order to rewrite these expressions with a common denominator, you need to multiply the denominators together to create a common denominator. Therefore, the common denominator would be (x+3)(x-3).

Next, each expression must be rewritten so that they have this common denominator. For the first expression, we multiply the numerator and denominator by (x-3) so we get: ((x-5)(x-3))/((x+3)(x-3)).

For the second expression, we multiply the numerator and denominator by (x+3) so we get: 4(x+3)/((x+3)(x-3)). So, the expressions rewritten with a common denominator are ((x-5)(x-3))/((x+3)(x-3)) and 4(x+3)/((x+3)(x-3)).

Learn more about Common Denominator here:

https://brainly.com/question/29048802

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Final answer:

To find a common denominator for the given expressions, multiply the denominators together. The expressions, rewritten with the common denominator, are [tex](x-3)*(x-5)/(x+3)(x-3)[/tex] and [tex]4*(x+3)/(x+3)(x-3).[/tex]

Explanation:

The goal here is to find a common denominator for the expressions x-5/x+3 and 4/x-3. A common denominator can be found by multiplying the denominators of both expressions together. So for these expressions, the common denominator would be [tex](x+3)*(x-3).[/tex]

Then you multiply the top and bottom of each fraction by the missing factor from the other denominator. The expressions rewritten with a common denominator would then be:

For the first expression, multiply (x-5) by (x-3), which gives (x-3)*(x-5).For the second expression, multiply 4 by (x+3), which gives 4*(x+3).

So the expressions with a common denominator are: [tex](x-3)*(x-5)/(x+3)*(x-3)[/tex]and [tex]4*(x+3)/(x+3)*(x-3).[/tex]

Learn more about Common Denominator here:

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what is 1/2 × 4 plzzzzzzzzzzzzzzzzzzxzzzzzzzz helllllllllllllllllpppppppppppp​

Answers

Answer:

2

Step-by-step explanation:

1/2 is the same as saying 0.5

0.5 x 4     is the same as saying      0.5 + 0.5 + 0.5 + 0.5

0.5 + 0.5 + 0.5 + 0.5 = 2

It is looking like the answer you are looking for is going to be the number 2, multiplying by 1/2 is just dividing by 2

Which of the following is the equation of a line in a slope intercept form for a line without 1/4 and y intercept at (0,-1)

Answers

Answer:

[tex]\large\boxed{y=\dfrac{1}{4}x-1}[/tex]

Step-by-step explanation:

[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\to(0,\ b)\\\\\text{We have the slope}\ m=\dfrac{1}{4}\ \text{and the y-intercept}\ (0,\ -1)\to b=-1.\\\\\text{Substitute:}\\\\y=\dfrac{1}{4}x-1[/tex]

40 points with explanation please​

Answers

Answer:

a = 80°

Step-by-step explanation:

Since PS and QR are parallel lines, then

a = 80° ( alternate angles )

Answer:

a = 80°

Step-by-step explanation:

Since PS and QR are parallel lines, then

a = 80° ( alternate angles )

PLEEEASEEEEEEEEE HELPPPPPP!

Answers

The coordinates of the point A before dilation is (-12,-12)

100 Points again please answer ​

Answers

Answer:

843.67

Step-by-step explanation:

896 is the original price

A 12% discount will be applied so what is 12% of 896 =.12(896)=107.52

So we started with 896 and we are taking off 107.52=896-107.52=788.48

So the price after the discount is 788.48.

Now to apply the tax which is 7%=.07  so we need to find 7% of 788.48=.07(788.48)=55.19 (This is the tax dollar amount to be added to the price before tax).

So Sara is paying 788.48+55.19=843.67

Answer:

843.67

Step-by-step explanation:

Take the original price and find the discount

896 * 12 %

896 * .12

107.52

The new price is the original price minus the discount

896-107.52

788.48

Now we need to find the tax on the sale price

788.48 * 7%

788.48 *(.07)

55.19

Add the sale price and the tax to find the total price

788.48 +55.19

843.67

Which equation has the steepest graph?anyone need some help

Answers

Answer:

Yhe equation that jas the steepest gradient is D

Step-by-step explanation:

look at the numbers infront of the 'x' without looking at the negative sign. The

larger the number the steeper the gradient. Negative gradient only means that it is a downward slope

Answer:

Step-by-step explanation:

D

So Reflections
If P= (3,4), Find: Ry=5 (P)

Answers

Answer:

The reflected point is (3,6)

Step-by-step explanation:

we know that

The reflection Ry = 5, means a reflection is across the line y= 5

we have

the point P(3,4)

Since the point P has y-coordinate  4, its distance to the line y= 5 is equal to 1 units (P is located 1 units down the line y=5).

therefore

The reflection of the y-coordinate will be 1 units above the line y=5, which is  equal to

5+1=6

Hence

the y-coordinate of the image is 6.

The reflected point is (3,6)

Final answer:

To reflect a point about the y-axis, negate the x-coordinate while keeping the y-coordinate the same.

Explanation:

In this question, you are given the point P(3,4) and asked to find Ry=5(P). The notation Ry=5(P) represents the reflection of point P about the y-axis. To reflect a point about the y-axis, you need to replace the x-coordinate with its opposite (negate it) while keeping the y-coordinate the same.

So, P(3,4) reflected about the y-axis becomes (-3,4). The x-coordinate changes from 3 to -3, but the y-coordinate remains the same at 4.

Therefore, Ry=5(P) is (-3,4).

What is the common ratio for the geometric sequence?
4/3, 4, 12, 36,...

Answers

Answer:

r = 3

Step-by-step explanation:

The common ratio r of a geometric sequence is the ratio between consecutive terms, that is

r = [tex]\frac{4}{\frac{4}{3} }[/tex] = 3

r = 12 ÷ 4 = 3

r = 36 ÷ 12 = 3

What is the geometric mean of 5 and 10​?

Answers

Answer:

5[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The geometric mean of 2 numbers a and b is

[tex]\sqrt{ab}[/tex]

Hence

The geometric mean of 5 and 10 is

[tex]\sqrt{5(10)}[/tex]

= [tex]\sqrt{50}[/tex]

= [tex]\sqrt{25(2)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex] = 5[tex]\sqrt{2}[/tex]

Answer:

7.071

Step-by-step explanation:

To find geometric mean of two numbers given , you multiply numbers then find the square root of the result.

For this question we have  the numbers given as 5 and 10. So multiply 5 by 10 then get the square root of the answer.

[tex]=5*10=50\\\\\\\\\sqrt{50} =7.071[/tex]

Find the measure of angleC in the following triangle

Answers

Answer:

C = 58.88 degrees

Step-by-step explanation:

We can use the law of cosines to find the missing angle measurement

c^2 = a^2 +b^2 -2ab cosC

Rearranging and solving for cos C

2ab Cos C = a^2 +b^2 - c^2

Divide by 2ab

cos(C) =  a^2 + b^2 − c^2

             ------------------------

                         2ab

Substituting what we know  a = 31 b = 21   c = 27

                            31^2 + 21^2 - 27^2

     cos C        =  -----------------------------

                             2(31)(21)

      cos C = .516897081

Take the inverse cos on each side

cos^-1 cos C = cos ^-1 (.516897081)

C = 58.88 degrees

The rectangular backboard of a basketball court needs to be assembled. Its area is given as 18,900 cm2 and the width as 1.8 m.
What is the backboard’s length in metres?
m

The seating space around the basketball court is shown below:

What is the perimeter of the total area?
m
What is the area of the seating space?
m2

Answers

Answer:

length=1.05m

perimeter=2.7m

Step-by-step explanation:

18900 in m^2=1.89 m^2

area=length*width

1.89=length*1.8 m

length=1.89÷1.8

length=1.05 m

perimeter=(l+w) 2

perimeter=(1.05+1.8)2

perimeter=2.85×2

perimeter=2.7 m

a. The rectangular backboard’s length in meters is 1.05 meters.

b. The perimeter of the total area in meters is 5.7 meters.

Given the following data:

Area of rectangular backboard = 18,900 [tex]cm^{2}[/tex]Width of rectangular backboard = 1.8 meters.

Conversion:

10,000 [tex]cm^{2}[/tex] = 1 [tex]m^2[/tex]

18,900 [tex]cm^{2}[/tex] = X [tex]m^2[/tex]

Cross-multiplying, we have:

[tex]X = \frac{18900}{10000}[/tex]

X = 1.89 [tex]m^2[/tex]

a. To find the backboard’s length in meters:

Mathematically, the area of a rectangle is given by the formula;

[tex]A = LW\\\\1.89 = L(1.8)\\\\L = \frac{1.89}{1.8}[/tex]

Length, L = 1.05 meters.

b. To find the perimeter of the total area in meters:

Mathematically, the perimeter of a rectangle is given by the formula;

[tex]Perimeter = 2(L+W)[/tex]

Substituting the values into the formula, we have;

[tex]Perimeter = 2(1.05+1.8)\\\\Perimeter = 2(2.85)[/tex]

Perimeter = 5.7 meters

Find more information: brainly.com/question/897975

The temperature in degrees Fahrenheit can be expressed by the function F(c)= 9/5 c + 32 where is C is the temperature in degrees Celsius find the temperature in degrees Fahrenheit to the nearest degree if it is 23°C outside.

Answers

Answer:

73

Step-by-step explanation:

F(c)= 9/5 c + 32

Let C = 23

F(23) = 9/5 (23) +32

          = 41.4 +32

        =73.4

To the nearest degree

73

x^2=12x-40 solve this equation using the quadratic formula​

Answers

Answer:

Step-by-step explanation:

X²=12x-40

X²-12x+40=0

a=1  and b= -12 and c = 40

delta = b² - 4ac

delta = (-12)² - 4(1)(40) = 144 - 160 = - 16 = (4i)² ....i² = -1

x1= (12-4i)/2 =6-2i

x1= (12+4i)/2 =6+2i

Answer:

Step-by-step explanation:

x^2 = 12 x-40

x² - 12x + 40 = 0

a = 1;  b = -12; c = 40

4ac - b² = 4*1*40 - (-12)² = 160 - 144 = 16

x = -b ± √4ac-b² i / 2a

 = -(-12) ± √ 16 i

          2 * 1

= (12 ± 4 i )/ 2

= 2( 6 ±  2i)

        2

=   6 ±  2i

identify one charcteristic of exponential growth

Answers

Answer:

Exponential growth is called growth because its curve increases really fast, so that's the main characteristic of exponential growth. I'm attaching an example of a function with exponential growth, which is the change of population size over time.

what is the value of x?

Answers

Answer:

x = 3

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠QRT is an exterior angle of the triangle

∠RTS and ∠RST are the 2 opposite interior angles, thus

45x = 25x + 57 + x

45x = 26x + 57 ( subtract 26x from both sides )

19x = 57 ( divide both sides by 19 )

x = 3

Which of the following constants can be added to x2 - 3x to form a perfect square trinomial?

Answers

Answer:

2 whole 1/4

Step-by-step explanation:

When forming a perfect square trinomial you need to "complete the square".

All of the steps to completing the square when solving an equation:

1.  The leading coefficient must be 1.  

2.  Divide b by 2.

3.  Square (b/2)

4.  Add (b/2)^2 to both sides to keep the polynomial balanced.

5.  You can now write the perfect square trinomial and solve.

x^2 - 3x  

-3/2

(-3/2)^2 = 9/4 = 2 1/4

Answer:

The answer is 2 1/4

Step-by-step explanation:

You are welcome.

x-y=4 x+y=8 the x-coordnate of the solution to the system shows

Answers

Answer:

x = 6

Step-by-step explanation:

Given the 2 equations

x - y = 4 → (1)

x + y = 8 → (2)

Adding the 2 equations term by term eliminates the y- term

(x + x) + (- y + y) = (4 + 8), that is

2x = 12 ( divide both sides by 2 )

x = 6

Other Questions
Most of Hinduisms one billion follower are located in? Which of the following were major topics that divided the north and south? Select all that apply. taxes federal authority slavery economics religion a construction crew is lengthening a road that originally measured 41 miles. The crew is adding one mile per day. The length, L(in miles), after d dayys of construction is given by following function L(d)=41+d what is the length of the road after 35 days HELP!!! THANK YOU SMACCURATE ANSWERS PLEASE What property of objects is best measured by their capacitance? need help little time left What drives the atp synthase reactions that produce atp Use this excerpt from the Corpus luris Civilis (Justinian's Law Code) to answer the following question:With the aid of God governing Our Empire, which was delivered to us by His Celestial Majesty, We carry on war successfully. We ador peace and maintain the Constitution ofthe State, and have such confidence in the protection of Almighty God that we do not depend upon Our arms, or upon Our soldiers, or upon those who conduct Our Wars, orupon Our own genlus, but we solely place Our reliance upon the providence of the Holy Trinity, from which are derived the elements of the entire world and their dispositionthroughout the globe.--Public DomainFrom this excerpt of the prologue of the Corpus luris Civilis, what departure from older Roman traditions is clear?The laws show that the empire has developed a bureaucracy that makes normal soldering unnecessary.The law now honors Christianity as a central part of the empire's existence.The law explains that the Roman Empire is using war to spread Roman ideas.The law has replaced old social class divisions with an egalitarian church, A particular company's net sales, in billions, from 2008 to 2018 can be modeled by the expression t2 + 10t + 68, where t is the number of years since the end of 2008. What does the constant term of the expression represent in terms of the context? The company earned 68 billion dollars from 2008 to 2018. The company earned 68 billion dollars in 2008. The company earned 10 billion dollars from 2008 to 2018. The company earned 10 billion dollars in 2008. A company using the perpetual inventory system purchased inventory worth $540,000 on account with credit terms of 2/15, n/45. defective inventory of $40,000 was returned 2 days later, and the accounts were appropriately adjusted. if the company paid the invoice 20 days later, the journal entry to record the payment would be ________. The diagram shows some of the steps in the flow of energy through an ecosystem. The arrows represent the transfer of energy. Label each arrow with the type of energy being transferred. 9. Based on the soil texture diagram, what type of soil is 40 percent sand, 15 percent clay, and 45 percent silt?O A. Silt loamO B. LoamC. Sandy clay loamO D. Sandy loam A homes value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find the value of the home after x years? Which equation shows an example of the associative property of addition? (-7 + 1) + 71 = -7+ (i + 78)(-7 + 1) + 7i = 71 +(-7i+1)71% (-77 + 1) = (71-71) + (7ix)(-71 + 1) + 0 = (-71 +1) What is 3/4 times 710? Due to alcohol's effect on your sense of balance, you mayA. Be unaware when you're driving on a hillB. Feel like you're fallingC. Make unnecessarily wide gestures Which task is part of the presidents role as commander in chief? fats contain how much more energy than carbohydrates and protein? Find a, b, and c.A. a = 12,b = 6 root 3,c = 3 root 6B. a = 12, B = 12 root 2, c = 3 root 6C. a = 6 root 3, b = 12 root 3, C = 6 root 2D. a = 6 root 3, b = 12 root 3,c= 6 root 2 Which of the following best describes one of the basic principles of the English Billof Rights?1. The English monarch had absolute power and ruled by divine right2. The king could not take away certain rights from church leaders3. Laws were based on rulings by Judges in previous cases,4. The people had certain rights, and liberties that were guaranteed