HELP ASAP!!!
Find the area of the figure. Round your answer to the nearest hundredth.

Answer:

The given line has slope m=1

the perpendicular line MUST have slope -1

Since it MUST eat (-3,2), the intercept formula says

B = y - mx = 2 - (-1)(-3)  = 2 - 3 = -1

so the equation of the perpendicular line that eats point W is

y = -x -1

The lines y=x+3 and it's perpendicular y = -x-1 intersect at

  y = x+3 = -x-1

   2x+3 = -1

  2x = -4

  x = -2

THe intersection point is

(-2,1)

Finally by distance formula,

The distance between (-3,2) and (-2,1) is

 sqrt ( (-3 - -2)^2 + ( 2-1)^2)

= sqrt( (-3 + 2)^2 + (2-1)^2)

 = sqrt( (-1)^2 + 1^2)

  = sqrt ( 1+1)

 = sqrt(2)

Step-by-step explanation:

The distance between line l and the point E (-7, 0) will be;

D = 3.

What is distance between point and line?

The distance between a line ax + by + c = 0 and point (p, q) will be;

D = |ap + bq + c|/√a² + b²

Given that;

Equation of line;

y = -3

And, Point = E (- 7, 0)

Hence, The distance between a line and point is calculated as;

Equation of line;

y = -3

y + 3 = 0

Compare with ax + by + c = 0, we get;

a = 0, b = 1 and c = 3

And, Point = (p, q) = (-7, 0)

Thus, The distance between a line and point is;

D = |0 + 0 + 3|/√0+1

D = 3

So, The distance between line l and the point E (-7, 0) will be;

D = 3.

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Answer:

Area = 3.0 square cm

Step-by-step explanation:

By cosine formula,

WX² = WY² + XY² - 2(WY)(XY)cos(∠W)

WX² = (1.5)² + (4.8)² - 2(1.5)(4.8)cos(52°)

WX² = 2.25 + 23.04 - 8.866

WX = √(16.424)

WX = 4.05 cm

Since, area of a triangle with known sides = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Here, s = [tex]\frac{a+b+c}{2}[/tex]

And a, b, c are the sides of the triangle

By this formula,

s = [tex]\frac{1.5+4.8+4.05}{2}[/tex]

s = 5.2

Therefore, area of the triangle XYZ = [tex]\sqrt{5.2(5.2-1.5)(5.2-4.8)(5.2-4.05)}[/tex]

= [tex]\sqrt{5.2(3.7)(0.4)(1.15)}[/tex]

= [tex]\sqrt{8.85}[/tex]

= 2.97

≈ 3.0 square cm

Answer:

x=0

Step-by-step explanation:

ima break it apart so it is easier to understand, going from left to right.

15(x-3)/5 you will distribute the 15 to the x and the -3

15x-45/5 you will divide 5 to both the 15x and the 45

3x-9 it will now be combined with the right side

now on the right side:

3(2x-3) you will distribute the 3 to the 2x and -3

6x-9 will now be combined with the left side

combining the left and right.

3x-9=6x-9 combine both 'x' es and constants

3x-6x=9-9 solve

-3x=0 divide

-3x=0 /-3 (all of it will be divided by 3 cuz what you do to one side, you gotta do to the other)

x=0

without distributive property

15(x-3)/5=3(2x-3) remove the parenthesis from the left side

3(x-3)=3(2x-3) distribute the 3 through the parenthesis on both sides

3x-9=6x-9 the rest is the same as in the combined section up above.

i hope this helps

The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of A is given by

15 ( x - 3 ) / 5 = 3 ( 2x - 3 )

By using the distributive property , we get

On opening the bracket , we get

( 15x - 45 ) / 5 = 6x - 9

Divide by 5 on LHS , we get

3x - 9 = 6x - 9

Subtracting 6x on both sides of the equation , we get

-3x - 9 = - 9

Adding 9 on both sides , we get

-3x = 0

x = 0

Now , without using distributive property , we get

The equation is

15 ( x - 3 ) / 5 = 3 ( 2x - 3 )

Divide by 5 on both sides , we get

3 ( x - 3 ) = 3 ( 2x - 3 )

Divide by 3 on both sides , we get

x - 3 = 2x - 3

Adding 3 on both sides of the equation , we get

x = 2x

Subtracting x on both sides , we get

x = 0

Hence , The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0

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Answer:

3X+8 IS THE ANSWER FOR EQUATION

26 IS 2ND ANSWER

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Answer:

5.08 i think

Step-by-step explanation:

Answer:

(2.2 +2 +8.9 +4.1 +8.2)/5

25.4/5

5.08

Answer:

By solving x and y

Step-by-step explanation:

Answer:

x ≈ 39.2 , y ≈ 34.3

Step-by-step explanation:

Using the sine and tangent ratios in the right triangle

sin29° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{19}{x}[/tex] ( multiply both sides by x )

x × sin29° = 19 ( divide both sides by sin29° )

x = [tex]\frac{19}{sin29}[/tex] ≈ 39.2 ( to 1 dec. place )

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

tan29° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{19}{y}[/tex] ( multiply both sides by y )

y × tan29° = 19 ( divide both sides by tan29° )

y = [tex]\frac{19}{tan29}[/tex] ≈ 34.3 ( to 1 dec. place )

Answer:

3a+13

Step-by-step explanation:

Add 5 and 8 together to get 13

Answer:

The relationship between the number of oranges and their price is proportional. so the answer is true

Step-by-step explanation:

x = 3/2 + y/2

9514 1404 393

Answer:

  C. Bank A - she will make $230.02 more.

Step-by-step explanation:

The account balance at each bank can be computed from ...

  A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years.

Bank A

Sumaya's balance after 5 years will be ...

  A = 8500(1 + 0.0225/2)^(2·5) = 9506.14

Bank B

Sumaya's balance after 5 years will be ...

  A = 8500(1 +0.0175/12)^(12·5) = 9276.67

__

The balance at Bank A is larger by ...

  9506.14 -9276.67 = 229.47

The closest answer choice is ...

  C. Bank A - she will make $230.02 more

_____

Comment on the discrepancy

The difference between the offered answer choices and the values computed here arise from the use of rounding in intermediate calculations. We did no rounding until the final answer. The offered choices seem to be rounded to about 8 digits, possibly the consequence of using an inadequate calculator.

Answer:

sorry but i don't understand.

Step-by-step explanation:

Answer:

Since the line is not scaled, then how do we know for sure.  But, we do know that point A is the opposite of point C.   For example, if C = 150, then A = -150

Step-by-step explanation:

Since the line is not scaled, then how do we know for sure.  But, we do know that point A is the opposite of point C.   For example, if C = 150, then A = -150

Answer: Question 1 is m=-7/4

Question 2 is -4 as the y axis where it intercepts and the other coordinate is (3,-2)

Step-by-step explanation:

Answer: $6

Step-by-step explanation:

Cost of item = $4.38

Mark up percent = 35%

Sakes price will be the addition of the cost price and the mark up price. This will be;

= $4.38 + (35% × $4.38)

= $4.38 + (0.35 × $4.38)

= $4.38 + $1.533

= $5.913

= $6 approximately

Answer:

503

Step-by-step explanation:

503/7= quotient(71), remainder(6)

503/8=quotient(62), remainder(7)

Answer:

d

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

volume of cylinder= πr²h

r= 12cm

h = 19cm

putting the values in the formula

Answer:

The answer is C

Step-by-step explanation:

Step-by-step explanation:

Elsa 40÷6= 6.666, or 6 2/3 bushels per hour

Kim 40÷10= 4 bushels per hour.

together, they pick 10.66 bushels per hour, so 40÷ 10.66= 3.75 hours, or 3 hours, 45 minutes

Answer:

the slope would be 2x

Step-by-step explanation:

Whenever you're given an equation y=mx+b, "mx" is what represents the slope whilst "b" represents the y-intercept  

Answer:

Clarita can be only Older than 2 years old.

Step-by-step explanation:

The answer for the following question is A) -b

Rational number is a number that can be written in the form of p/q. The correct expression that can represent a rational number is -b.

A rational number is a number that can be written in the form of p/q, where p and q are integers and the value of q≠0.

In order to find the expression that can represent a rational number, we need to find a number that can be represented in the form of p/q, Therefore, the correct option is -b.

Hence, the correct expression that can represent a rational number is -b.

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Answer:

24

Step-by-step explanation:

Here is the full question used in answering this question :

Francine wants to find a total of 2/3 cup of blueberries and 5/8 cup of raspberries what is the least common denominator of the fractions

Least common denominator of fractions is the smallest number that can divide both the denominator of 2/3 and the denominator of 5/8. The denominators here are 3 and 8

The least common denominator = 3 x 8 = 24