-3(-7 - x) = 1/2 (x + 2)

Answer:

x=3

Step-by-step explanation:

substitute into the equation

Answer:

x = 3

Step-by-step explanation:

x = -b/2a  for a = 1 & b = -6

x = 6/2

x = 3

Answer:

The answer is 9.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

You find y-intercept x=0

Answer:

84 cm^2

10 cm

Step-by-step explanation:

A parallelogram is  quadrilateral that has two pairs of parallel sides. The opposite sides  equal in length

Area = base x height

12 x 7 = 84 cm^2

Perimeter = 1/2 x ( base + length)

1/2 x (12 + 8) = 10 cm

Answer:

10.3

Step-by-step explanation:

a^2 + b^2 = c^2

3.9^2 + b^2 = 11^2

b^2 = 121 - 15.21

b = 10.3

Answer:

10.3

Step-by-step explanation:

We use the pythagorean theorem. (a^2+b^2=c^2)

3.9^2 + b^2 = 11^2

3.9^2 = 15.21

11^2 = 121

15.21 + b^2 = 121

Subtract 15.21 from both sides

b^2=105.79

Take the square root of both sides

b = 10.28

10.28 is closest to 10.3 and it is also rounded to 10.3, therefore 10.3 is the answer.

Answer:

9 sqrt(2) /2 = PQ

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hypotenuse

sin 45 = PQ = 9

9 sin 45 = PQ

9 sqrt(2) /2 = PQ

Answer:

7.7 cm

Step-by-step explanation:

You need to use trig ratios

this one needs the sin as we been to find the opposite side with the hypontenuse

9 x sin(45) = PQ = 7.65813172081

PQ = 7.7

Answer:

[tex]\$128.43[/tex]

Step-by-step explanation:

Since the cost for border paper is given in terms of feet and the dimensions of the gym are given in meters, we want to convert them to the same unit. Let's choose to convert feet to meters since that would be only one conversion:

[tex]15\:\mathrm{ft}=4.572\:\mathrm{m}[/tex]

Therefore, the cost of border paper is $6.99 pet 15 feet or $6.99 pet 4.572 meters.

Since the gym is rectangular, the gym's perimeter is equal to:

[tex]p=15+27+15+27,\\p=2(15)+2(27)=84\:\mathrm{m}[/tex]

Therefore, the cost of the total border paper for the gym is equal to:

[tex]\text{cost}=\frac{84}{4.572}\cdot 6.99\approx \boxed{\$128.43}[/tex]

QW                                                                           QW . R R RR . R R RR

Please report my answer

Answer:

The perimeters are in the same ratio as the corresponding sides.

Step-by-step explanation:

There is no diagram given in your question, so imagine an example in which the ratio of two corresponding sides is, say,  7:4  (or 7/4).  Then the perimeters are in the same ratio,  7:4.

Note: The areas are in the ratio which is the square of the ratio of sides, so 49:16 in the example.

Answer:

150°

Step-by-step explanation:

take 180°, and subtract it from 30°

180°-30°= 150°

hope i helped! let me know if you get it right :)

9514 1404 393

Answer:

  A-  Triangle 2: {8, 15, 17}

Step-by-step explanation:

You may recognize that the triple of choice A is a Pythagorean triple, so can be the side lengths of a right triangle.

Checking the numbers can be done nicely by a graphing calculator or spreadsheet to help avoid the tedium of doing it "by hand".

The basic idea is that the triangle will be a right triangle if the sum of the squares of the shorter sides is the square of the longer side.

Answer:

15. A. Communtative

18. A. (n . 60) + (n . 5)

Step-by-step explanation:

15. Commutative property states that, if the order of positions of number is changed while performing addition or multiplication, the result remains unchanged.

18. n.65 = (n.60) + (n.5)

Answer:

my answer is in this picture

an isosceles triangle is a triangle that has two sides of equal length

FU = 7 units

UN = 5 units

FN = 7 units

FU = FN

FU ≠ UN

FN ≠ UN

FUN is an isosceles triangle.

Answer:

(f o g)(x) = 0.8x - 15

Step-by-step explanation:

(f o g)(x) = f(g(x)) = applying first g(x), and then using that result as input value for f(x).

so, first we discount by 20% and use g(x)

g(x) = 0.8x

and then we use that in f(x)

f(0.8x) = 0.8x - 15

and that is the result.

Answer:

Converted into Decimal Form : 0.47727272727

Step-by-step explanation:

To convert a fraction to a decimal you take the numerator (the number in the top of the fraction) and divide that by the denominator (the number in the bottom of the fraction.)

21 ÷ 44 = 0.47727272727

This is how you convert a fraction to a decimal. When you convert a decimal to a fraction it gets a little more complicated. Another way you could change a fraction could be by simplifying. Simplifying is when you make the fraction look more simple by decreasing the values of the numerator and denominator, dividing by the same number on both the top and bottom. If you are confused and want more detail, please comment down below.

Answer:

0.477272727........

Because 21÷44= 0.477272727..........

Answer:

k - 2 = 4d - 8

d + 1 = 4d - 8

Step-by-step explanation:

Daniel's age = d

Kevin's age = k

Given that, k = d + 3 -------------- (1)

Two years ago, the age of Daniel = d - 2

Two years ago, the age of Kevin = k - 2

Since,  two years ago, Kevin was 4 times as old as

Daniel, k - 2 = 4(d - 2)

Opening the bracket,

k - 2 = 4d - 8

Since the value of k is d + 3 (see (1))

d + 3 - 2 = 4d - 8

d + 1 = 4d - 8

(I am just giving the answer cause I LOVE Linear Equation )

1 + 8 = 4d - d

9 = 3d

9/3 = d

3 = d

Therefore, Daniel's present age is 3 and Kevin's present age = 6

Hope You understood

Thank You

Please mark me as brailiest                

Answer:

6

Step-by-step explanation:

since m is parallel to n, they both also have the same angles at the intersection with the crossing line.

the total angle on one side of a line is simply a half circle = 180 degrees (the angle of flipping over from laying flat in one direction of the line to laying flat in the other direction of the line).

so, the two angles of m with the intersecting line are

126 degrees and

(8x + 6) degrees.

and their sun must be 180.

126 + (8x+6) = 180

132 + 8x = 180

8x = 48

x = 6

Answer:

answer below

Step-by-step explanation:

angles of a Tringle Addup to 180

let <2=x

61+58+x=180

x=180-61-58

x= 61°

now we know that the triangle was an isocelies triangle

<2=61°

But <2 and <4are on a straight line

therefore the sum of the angles are 180

<2+<4=180°

61°+<4=180°

<4=180°-61°

<4=119°

9514 1404 393

Answer:

  f(x) +g(x) = 4x^2 +3

  f(x) -g(x) = 4x^2 -6x +1

  f(x)·g(x) = 12x^3 -5x^2 +3x +2

Step-by-step explanation:

Substitute for f(x) and g(x) and simplify.

(a)  f(x) +g(x) = (4x^2 -3x +2) +(3x +1)

  f(x) +g(x) = 4x^2 +3

__

(b)  f(x) -g(x) = (4x^2 -3x +2) -(3x +1)

  f(x) -g(x) = 4x^2 -6x +1

__

(c)  f(x)·g(x) = (4x^2 -3x +2)(3x +1)

  = (4x^2 -3x +2)(3x) +(4x^2 -3x +2)(1) . . . use the distributive property

  = 12x^3 -9x^2 +6x +4x^2 -3x +2

  f(x)·g(x) = 12x^3 -5x^2 +3x +2

Answer:

a.) f( x ) + g( x ) = 4 x² + 3

b.) f( x ) - g ( x ) = 4x² -6x + 3

c.)f ( x ) . g ( x ) = 12x³ - 5x² + 3x + 2

Step-by-step explanation:

Given :- f ( x) = 4x² - 3x + 2 and g(x)= 3x +1

Substitute the values of f(x) and g(x) and simplify all .

a.) f( x ) + g( x )

( 4x² - 3x + 2 ) + ( 3x + 1 )

4 x² - 3x + 2 + 3 x + 1

collect like terms

4x² - 3 x + 3 x + 2 + 1

4 x² + 3

b.) f ( x ) - g ( x )

( 4x² - 3x + 2 ) - ( 3x + 1 )

4x² - 3x + 2 - 3x - 1

collect like terms

4x² - 3 x - 3x + 2 - 1

4x² -6x + 1

c.) f ( x ) . g ( x )

( 4x² - 3x + 2 ) × ( 3x + 1 )

Use the Distributive property

3 x(4x² - 3x + 2 ) × 1 ( 4x² - 3x + 2 )

Remove the parantheses multiply

12x³ - 9x² + 6x + 4x² - 3x + 2

Collect like terms

12 x³- 9x ² + 4x² + 6x - 3x + 2

12x³ - 5x² + 3x + 2

Answer:

x+63 = 90

Step-by-step explanation:

x and 63 add to a right angle so their sum is 90

x+63 = 90

We can solve

x = 90-63

x = 27

Answer:

29 ft

Step-by-step explanation:

We solve using the Trigonometric function of Tangent

tan θ = h - 5/20

θ = 50°

Hence

tan 50 = h - 5/20 feet

Cross Multiply

tan 50 × 20 feet = h - 5

23.8350718518842 + 5= h

h = 28.8350718518842

h = 29 ft

Answer:

29

Step-by-step explanation:

Answer:

-9.661

Step-by-step explanation:

I hope this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if this is incorrect.

Answer:

-9.661

Step-by-step explanation:

-a + -b

-a -b

Let a = 6.05  and b = 3.611

-6.05 - 3.611

-9.661

Answer:

(-2, -1)

Step-by-step explanation:

The centre of a circle is located at the mid-point of any diameter, hence we take the average of the coordinates of the end-points.

Cx = (2-6)/2 = -2

Cy = (6-8)/2 = -1

So the centre is located at (-2, -1)

Answer:  [tex]2\sqrt{2}[/tex]

=====================================

Explanation:

Let's say we replace every copy of [tex]\sqrt{2}[/tex] with x

Doing so means we have the expression 5x-3x. That simplifies to 2x.

The last thing to do is replace the x with [tex]\sqrt{2}[/tex] and that's how we end up with [tex]2\sqrt{2}[/tex] as the final answer.

----------

In short: we subtract the numbers out front, and then tack on a root 2 at the end.

As another example, [tex]19\sqrt{2}-11\sqrt{2} = (19-11)\sqrt{2} = 8\sqrt{2}[/tex]

This is basically the same as saying 19x-11x = (19-11)x = 8x where [tex]x = \sqrt{2}[/tex]

Answer:

5,2

Step-by-step explanation:

the difference between a and m is 1,1 so 1,1 subtracted from the mid point(M) would be 5,2

Answer:

the area is 1235

Step-by-step explanation:

Answer:

2714.33 sq in

explanation-

Answer:

Step-by-step explanation:

slope, m = 0.1m/4m = 0.025

Theoretical effort (ignoring friction) = 9000N * 0.025 = 225 N

actual effort = 300 N

efficiency

= potential energy out / actual energy in

= 225 N / 300 N = 0.75

Answer:

1/4

Step-by-step explanation:

Add the probabilitys 1/2 plus 1/2 to get 1/4

Answer:

c

1/4

Step-by-step explanation:

Add the probabilitys 1/2 plus 1/2 to get 1/4

Answer:

x > - 8

Step-by-step explanation:

x + 5 > -3

x > - 8

Answer:

C

Step-by-step explanation:

Into the thick of it