If we add one unit to the length (l) of a rectangle that has width (w), what is its new area (NA) in terms of its old area (A)?
NA = A + l
NA = A
NA = A + w
NA = A x w

Answer:

-4

Step-by-step explanation:

ok negative times negative = positive

and factors of 24 are

1,2,3,4,6,8,12,24

4 x 6 are the two consecutive EVEN numbers

so turn it to negative

-4 x -6 = 24

The largest is -4

Answer: See explanation

Step-by-step explanation:

We are going to solve this by using the Simple interest formula which is:

= Principal × Rate × Time

= 500 × 3% × 8/12

= 500 × 0.03 × 2/3

= 10

Therefore, the interest will be $10 ane the total amount that'll be paid back will be:= $500 + $10 = $510

Answer:

-5r+5

Step-by-step explanation:

-5+(-5r)+10

-5-5r+10

-5r-5+10

-5r+5

Answer:

-5r + 5

1. When there is a + in front of an expression in parenthesses, the expression remains the same.

2. Calcuate the sum

Answer:

10x+200[tex]\leq[/tex]375

Step-by-step explanation:

subtract 200 from both sides

10x[tex]\leq[/tex]175

divide both sides by 10

x[tex]\leq[/tex]17.5 cars

Jesse must wash atleast 17.5 cars to afford the bike.

Answer:

4

Step-by-step explanation:

27+10(x)

15+13(x)

27+10(4)=67

15+10(4)=67

Answer:

65°

Step-by-step explanation:

From the question,

The base angle of an isoceles triangle are equal.

Let the value of the base angles = x°

Sum of angle in a triangle = 180°

⇒ x°+x°+50° = 180°

⇒ 2x°+50° = 180°

⇒ 2x° = 180°-50°

⇒ 2x° = 130°

⇒ 2x°/2 = 130/2

⇒ x° = 65°.

Hence, the size of the other angles is 65°

Answer:

x = 18.38

Step-by-step explanation:

sin 45 = 13/x

0.7071 = 13/x

x = 18.38

Answer:

x = 132 degrees

Step-by-step explanation:

To help explain, lets add some letters to designate those line intersections.

Starting at x, label that intersection O, then go up-right to that intersection and label that P, then go down-right to that intersection and label that Q, then go up-right and name that R, then go down-right and label that S, finally go right to that intersection and label that T.

Angle TRS = 12 degrees because  isosceles triangle so TRS = a = 12 degrees.

Angle RST = 180-12-12 = 156 degrees.

Angle QSR is supplementary to RST so it is 24 degrees.

Angle RQS = 24 degrees because isosceles.

Angle QRS = 180-24-24 = 132 degrees.

Angle PRQ = 180-12-132 = 36 degrees.

Angle PRQ = 36 degrees because isosceles.

Angle PQR = 180-36-36 = 108 degrees.

Angle PQO = 180-24-108 = 48 degrees.

Angle POQ = 48 degrees because isosceles.

Angle x = 180 -48 = 132 degrees because it is supplementary.

Answer:

angle 3 and angle 5

angle 2 and angle 8

Answer:

It's 48. Heres why:

Step-by-step explanation:

Our equation, I believe, is 4[(12-8) + 2³]. We can do the operations in the parenthesis:

4[(4)+8] (12-8 = 4, and 2³ is 8). If we add 4 + 8, we get 12. Multiply 12 by 4, we get 48.

Answer:

the answers are

8) e. opposite sides

9) d. vertices

10) c. opposite angles

11) b. diagonals

12) a. consecutive sides

Answer:1.5

Step-by-step explanation:

8-(2^2+48)/8

8-32-6

8-38

-30

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hope it helps

sorry if i'm wrong, I having a hard time processing things today

Step-by-step explanation:

número 500? Cálculos y verificación detallados. Introducción: 'Porcentaje (%)' significa 'de cien': ¿Cómo verificamos el resultado? Si 30% × 500 = 150 => Divida 150 entre 500 ... Nota: 100/100 = 100 ÷ 100 = 100% = 1. Calcule el valor porcentual: 150

Answer:

(c) 9

Step-by-step explanation:

You can't have a repeated x-value in a function.

8 is taken by (8, 7)

7 is taken by (7,-6)

-4 is taken by (-4, 5)

9 is the only number that is not taken by any other point yet.

Remember that for a relationship to be a function it can't have repeated x-values. However, it doesn't matter to have the same x and y values!

Hope this helped!

Answer:

[tex]x = 3\pm 5i[/tex]

Step-by-step explanation:

Quadratic formula

[tex]x = \frac{6 \pm \sqrt{36-4(1)(34)}}{2(1)}[/tex]

There are no real solutions since the discriminant is negative.

Simplify this to get x = 3+5i, 3 -5i

Answer:

3...?

Step-by-step explanation:

1+2=3

Answer:

the answer is :)

Step-by-step explanation:

Answer:

D because the triangle has to be congruent

Answer:

jasmine can make 14 cupcakes

Step-by-step explanation:

5 1/4 = 5.25

3/8 = 0.375

5.25/0.375 = 14

The SOH CAO TOA identity is used to determine the acute angles of a right triangles. The terminal point of ø is (-1,0), what is tan ø is 0

Given the terminal point (-1, 0), the value of tanø is expressed as:

tanø = opposite/adjacent

tanø = y/x

From the coordinate given:

x = -1

y = 0

Substitute

tanø = 0/-1
tanø  = 0

Hence the terminal point of ø is (-1,0), what is tan ø is 0

Learn more on terminal point here: https://brainly.com/question/1621860

#SPJ2

Answer:

44 units² or 44 units squared

There really isn't a preference of units, like inches or meters, so you can add that in.

Step-by-step explanation:

Haha, this is what we're doing in class!

Okay, so the formula for a trapezoid is A= ½ (b1+b2) h

14= b1

8= b2

Add them... You get 22. Multiply that by the height, which is 4. You should get 88. Then divide by 2. You should get 44.

Here's some helpful notes:

I hope this was helpful!

Answer:

It looks like the factored form of a polynomial

Step-by-step explanation:

In unfactored form, it would be this:

2r^2 + -2r + 1

Answer:

Range: (-∞,∞)

Domain: (-∞,∞)

Step-by-step explanation:

Remember that if there are arrows that the function continues.

9514 1404 393

Answer:

  $1,754.57

Step-by-step explanation:

If you put the amount in savings at the beginning of the year, then the balance after 7 years is ...

  A = P(1 +r)((1 +r)^7 -1)/r . . . . for payment P at annual rate r for 7 years

  15000 = P(1.05)(1.05^7 -1)/0.05 = 8.54911P

Then the amount P that needs to be saved is ...

  15000/8.54911 = P = 1754.57

You need to deposit $1,754.57 at the beginning of each year for 7 years to have a balance of $15,000 at the end of 7 years.

_____

If you wait until the end of the year to deposit the money, the amount will need to be 5% higher: $1,842.30.

Answer:

Step-by-step explanation:

Remark

This is actually a six sided figure. That really doesn't matter, but it's interesting to observe. It goes a long way to explaining what is going on. The trick to exterior angles is that as long as the figure is convex ( a closed figure whose lines do not cross), the exterior angles add to 360.

Once you know that, then you know that this figure must have 6 exterior angles and no matter how they are made, their total is 360.

Equation

n + n + n + n + 90 + 90 = 360          Combine like terms.

Solution

4n + 180 = 360                                 Subtract 180

4n = 360 - 180

4n = 180                                            Divide both sides by 4

4n/4 = 180/4

n = 45

Note

Not a simple problem. Thanks for posting

Answer:

b = 1/3

Step-by-step explanation:

Here, we want to solve for the value of b

From the question, we have that;

4^(3b-3) = 1/16

4^(3b-3) = 16^-1

4^(3b-3) = 4^2(-1)

4^(3b-3) = 4^-2

Since base are equal, equate the powers

3b - 3 = -2

3b = -2 + 3

3b = 1

b = 1/3

Answer:

13x - 2

Step-by-step explanation:

7x - -6x = 7x + 6x = 13x.

-10 - -8 = -10 + 8 = -2

13x - 2

Answer:

13x - 2

Step-by-step explanation:

( 7x - 10 ) - ( -6x - 8 )

First, distribute the minus sign outside of the second parenthesis. Multiply each term within the second parenthesis by the minus sign.

( 7x - 10 ) + ( (-1)(-6x) + (-1)( -8))

Simplify,

( 7x - 10 ) + ( 6x + 8 )

Remove parenthesis,

7x - 10 + 6x + 8

Simplify, combine like terms,

7x - 10 + 6x + 8

13x - 2

Answer:

D

Step-by-step explanation:

those angles are vertical angles so they are congruent.