The hypotenuse of an isosceles right triangle has length 4. How long is each leg?

Answer:

[tex]y=-\frac{1}{2} x+2[/tex]

Step-by-step explanation:

The given equation is written in slope-intercept form:

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

where:

The slope is 2:

When two lines are perpendicular, their slopes will be opposite reciprocals. Find the slope of the line perpendicular to the given equation:

[tex]m_{1}=2[/tex]

This can be seen as:

[tex]m_{1}=\frac{2}{1}[/tex]

Flip the fraction (reciprocal):

[tex]\frac{2}{1}[/tex] → [tex]\frac{1}{2}[/tex]

Now find the opposite:

[tex]\frac{1}{2}[/tex] → [tex]-\frac{1}{2}[/tex]

So the slope of the perpendicular line is:

[tex]m_{2}=-\frac{1}{2}[/tex]

Now make an equation written in point-slope form:

[tex]y-y_{1}=m(x-x_{1})[/tex]

where:

Insert information:

[tex]y-3=-\frac{1}{2} (x-(-2))\\\\y-3=-\frac{1}{2} (x+2)[/tex]

Simplify to slope-intercept form. Solve for y:

Use the distributive property:

[tex]y-3=-\frac{1}{2}(x)-\frac{1}{2} (2)\\\\ y-3=-\frac{1}{2} x-1[/tex]

Add 3 to both sides to isolate the variable:

[tex]y-3+3=-\frac{1}{2} x-1+3\\\\y=-\frac{1}{2} x+2[/tex]

:Done

Answer:

Sadie:44 Kerry:39 mark:37

Step-by-step explanation:

(5+w) + w + (w-2)=120

-5 from both sides

w+w+(w-2)=115

+2 from both sides

w+w+w=117

117/3 = w

Answer:

2) 41-2x

Step-by-step explanation:

41-2x

Answer:

The distance between the top two buttons on his shirt is 3.8 inches.

Step-by-step explanation:

Maurice's shirt has 5 buttons. Distance between first and last button is 15.25.

If we see, they would be arranged like

*

*

*

*

*

They are equally spaced between each button.

So, there are 4 equal spaces between the buttons.

Distance between each two consecutive buttons =[tex]\frac{15.25}{4}[/tex] =3.8125

So, distance between the top two buttons on his shirt is 3.8 inches.

Given parameters:

Measure of Angle R = 47°

Operation on the angle; rotated through 180°

Unknown:

what is angle R now= ?

Solution:

    Angle R was originally an acute angle which was 47°;

 And an additional 180° rotation will produce;

  New Angle R  = 47 + 180 = 227°

The new dimension of the angle is 227°

The percentage is 52% and the fraction is 13/25

Answer:

736.05

Step-by-step explanation:699.00 x 5.3%=37.047

699.00 + 37.05 = 736.05

Answer:

$37.05

Step-by-step explanation:

$699 × 5.3%

We must convert 5.3% into just a decimal (not a percentage)

To do so, move the decimal to the left two places.

This would be 0.053

699 × 0.053 = 37.047

Although the exact number is 37.047, money is only paid within two decimals places, so let's round up to the nearest hundredth place

37.047 rounds up to 37.05

$37.05 is how much tax will be paid on the TV

Answer:

4.9878851e+45

Step-by-step explanation:

Answer:

x is greater than or equal to −6 and x less than or equal to 5 (second option).

Step-by-step explanation:

This would be written as an "and" inequality; -6[tex]\leq[/tex]x[tex]\leq[/tex]5. Because the circle is closed on the number line, x is greater than or equal to −6 and x less than or equal to 5, and that's pretty much the answer!

Hope this helps!!!! Have an awesome day :3

Answer:

90.7yrs.  

Step-by-step explanation:

Given parameters:

Amount borrowed  = $2450

Interest rate  = 3.5%

Amount repaid = $3221.75

Unknown:

Number of years the load was paid  = ?

Solution:

The formula of simple interest;

    I = PRT

Where I is the interest

           P is the principal

          R is the rate

          T is the time

  To find the interest;

    Interest = Amount paid back - loan  = 3221.75 - 2450  = 771.75

Now;

     P = IRT

     2450  = 771.75 x [tex]\frac{3.5}{100}[/tex]  x T

     2450 = [tex]\frac{2701.25T}{100}[/tex]

    T = [tex]\frac{245000}{2701.125}[/tex]   = 90.7yrs

The number of years of the loan period was 90.7yrs.  

Answer:

x=-28

Step-by-step explanation:

-x+4=32

-x=32-4

-x=28

x= -28

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

9-22+20

9-2

7

Answer:

2. 17686.98

3. 1007.81

Step-by-step explanation:

Just add the numbers all together and there's your sum.

Answer:

34000000

Step-by-step explanation:

Answer:

34000000

Step-by-step explanation:

170000000*20%

=34000000

Answer:

area is 210 mi

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

21 x 7 = 147

14 - 7 = 7

7 x 9 = 63

147 + 63 = 210

Answer:

y = 25

X = 25/2 is the value of X an dy

Answer:

x=5

y=10

Step-by-step explanation:

4x-2y=0

-x-2y=-25

subtract

5x=0-(-25)

5x=25

x=25/5=5

-5-2y=-25

2y=-5+25

2y=20

y=20/2=10

Step-by-step explanation:

it would have a slope of 3 and it would cross the y axis on -1

Answer:

3.54

Step-by-step explanation:

Answer:

x= -9

Step-by-step explanation:

-x+3=2(x+15)

-x+3=2x+30

-x-2x+3=30-3

-3x=30-3

-3x=27

x= -9

Answer:

400k four hundred thousand centimeters is 4 kilometers

Answer:

Step-by-step explanation:

Hello,

let s regroup the terms

2ax - 15 = 3(x + 5) + 5(x - 1) *** add 15 to both sides ***

<=> 2ax = 15 + 3x + 15 + 5x - 5 *** develop to remove the parentheses***

<=> 2ax = 8x + 25 *** simplify ***

<=> (2a-8)x = 25 *** subtract 8x from both sides ***

<=> (a-4)x=25/2 *** divide by 2 both sides ***

There is no solution is a-4 = 0 ,

because it would mean 0 = 25/2 and this is not possible

So it gives a = 4

Thanks

In the case when no value of x satisfies the equation so there the value of a should be 4.

Since

the equation is  

2ax - 15 = 3(x + 5) + 5(x - 1)

2ax = 15 + 3x + 15 + 5x - 5

2ax = 8x + 25

(2a-8)x = 25

So a = 4

hence, In the case when no value of x satisfies the equation so there the value of a should be 4.

Learn more about an equation here https://brainly.com/question/22358515

Answer:

7

Step-by-step explanation:

Because 7+3= 10, Please tell me if my answer is wrong

Answer: 7

Explanation:

Because 7+3=10

Answer:

10

Step-by-step explanation:

Answer:

y=2x

Step-by-step explanation:

Answer: I’m not going to tell u the answer hrhrhehehehehehrhehsnheaj

Step-by-step explanation:

-34 answer

Answer:

people are saying its wrong but heres from another source lol

Step-by-step explanation:

source - GetEasySolution.com

9514 1404 393

Answer:

  c.  x = 1

Step-by-step explanation:

c. The Pythagorean theorem applies. The square of the hypotenuse is the sum of the squares of the other two sides.

  2² = x² +(√3)²

  4 = x² +3

  1 = x² . . . . . . subtract 3

  1 = x . . . . . . . take the square root

Answer:

190.5 centimeters

Step-by-step explanation:

I think it's that. Hope it's right! :)

Answer:

-103

Step-by-step explanation:

Answer:  -103

Step-by-step explanation:

y=7 so 7x(-7)= -49 because a negative times a positive always equals a negative. Same thing for 9x. x=(-6) so 9x(-6)=-54.  So (-49)+(-54)= -103

Answer: greater than

Step-by-step explanation:

A positive is greater than a negative