Find the area of the trapezoid. ​

Answer: b. 3x + 2

Step-by-step explanation:

2l + 2w = p

2l + 2(2x - 1) = 10x + 2

2l + 4x - 2 = 10x + 2

2l = 6x + 4

l = 3x + 2

Answer:

6in

Step-by-step explanation:

Given data

Volume of the lockbox= 312 cubic inches

Height= 4in

Length= 13in

Width= ???

The expression for the volume of box is

V= L*W*H

substitute

312=13*W*4

312=52W

W= 312/52

W=6 in

Hence the width is 6in

Answer:

7 X 10

Step-by-step explanation:

because up and down there are 7 and left to right there are 10

Answer:

7 X 10

Step-by-step explanation:

All you have to do is count how many rows there are (just count the vertical line down the side) and you get your first term 7. Then count how many columns (just count the top row) and you get your second term 10. This is a 7 by 10 array, which means there are 70 flowers in total.

Answer:

ok

Step-by-step explanation:

Answer:

AB and EF;

BC and FG;

CD and GH;

DA and HE

Step-by-step explanation:

Given

[tex]ABCD \cong EFGH[/tex]

Required

Select correct option for corresponding sides

No options were given. So, I will just list out the corresponding sides.

[tex]ABCD \cong EFGH[/tex] implies that:

[tex]A \cong E[/tex]

[tex]B \cong F[/tex]

[tex]C \cong G[/tex]

[tex]D \cong H[/tex]

So, the corresponding sides are:

AB and EF; BC and FG; CD and GH; DA and HE

Answer:

284

Step-by-step explanation:

Answer: 30%

Step-by-step explanation:

Method 1:

The original fraction is [tex]\frac{3}{10}[/tex]

To convert to a percent, the denominator should be equal to 100 (since percent is per 100)

Multiply the top and bottom by 10

[tex]\frac{3}{10} * \frac{10}{10} = \frac{30}{100}[/tex]

Since the numerator is 30, 3/10 as a percent is 30%

Method 2:

The original fraction is [tex]\frac{3}{10}[/tex]

To convert to a percent, first convert the fraction to a decimal (do 3 ÷ 10)

     0.3

10 | 3 0

     -30

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

          0

You get 0.3

Now multiply the decimal by 100

0.3 * 100 = 30

30%

Method 3:

The original fraction is [tex]\frac{3}{10}[/tex]

[tex]\frac{3}{10} = \frac{x}{100} \\10x = 300\\x = 30[/tex]

cross-multiply to solve the equation

30%

Answer:

We need for inforamtion like what is the volume for both of the shapes

Step-by-step explanation:

Step-by-step explanation:

B. Four less than a number.

Answer:

x^2 - 6x - 6, remainder -23

Step-by-step explanation:

Start like this:

              3    |     1      -8      9     -5

                    |

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

First step is to copy the 1 to below the line.

              3    |     1      -8      9     -5

                    |

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

                           1

Now multiply 3 by 1 and write below the -8. Then add the product to the -8 and write the sum below the line.

              3    |     1      -8      9     -5

                    |              3

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

                           1     -5

Now multiply 3 by -5 and write below the 9. Then add the product to the 9 and write the sum below the line.

              3    |     1      -8      9     -5

                    |              3    -15

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

                           1     -5     -6

Now multiply 3 by -6 and write below the -5. Then add the product to the -5 and write the sum below the line.

              3    |     1      -8      9     -5

                    |              3    -15    -18

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

                           1     -5     -6     -23

Answer: x^2 - 6x - 6, remainder -23

The solution is, x^2 - 6x - 6, and, the  remainder -23.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

divide x^3-8x^2+9x-5 by x-3

Start like this:

             3    |     1      -8      9     -5

                   |

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

First step is to copy the 1 to below the line.

             3    |     1      -8      9     -5

                   |

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

                          1

Now multiply 3 by 1 and write below the -8. Then add the product to the -8 and write the sum below the line.

             3    |     1      -8      9     -5

                   |              3

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

                          1     -5

Now multiply 3 by -5 and write below the 9. Then add the product to the 9 and write the sum below the line.

             3    |     1      -8      9     -5

                   |              3    -15

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

                          1     -5     -6

Now multiply 3 by -6 and write below the -5. Then add the product to the -5 and write the sum below the line.

             3    |     1      -8      9     -5

                   |              3    -15    -18

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

                          1     -5     -6     -23

Hence, Answer: x^2 - 6x - 6, remainder -23

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Given:

Principal = $400

Rate of interest = 6% compounded monthly

Time = 5 years.

To find:

The amount in the bank after 5 years.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.

Interest compounded monthly. So, [tex]n=12[/tex].

Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get

[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]

[tex]A=400\left(1+0.005 \right)^{60}[/tex]

[tex]A=400\left(1.005 \right)^{60}[/tex]

[tex]A\approx 539.54[/tex]

Therefore, the amount of money in the bank after 5 years is $539.54.

Answer:

The car is worth $4250 now and it decreased by $750

Step-by-step explanation:

5000* .85 is 4250

Answer:

y=(-1/3)x

Step-by-step explanation:

y=mx+b

(x,y)

put in the first point into y=mx+b

2=m(-6)+b

then the second point is (6,-2)

put the point into y=mx+b

-2=6m+b

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

Put both equations in a system of equations

-2=6m+b

2=m(-6)+b

solve for m and b

-1/3=m and 0=b

so put that back into y=mx+b

y=(-1/3)x+0

so that is the only line that passes through both points

Answer:

67.5

Step-by-step explanation:

Answer: Divide the 2 numbers

Answer:

the answer is 67.5

Step-by-step explanation:

270/4=67.5

Answer: Tigers: Linear Function

Narwhals: Linear Function

Answer:

x ≥ -6

Step-by-step explanation:

The arrow is directing towards the right, in which the line contains number greater than -6. Moreover the circle on top of -6 is closed, proving that it is 'greater than or equal to'. (if it was greater than, the circle on top of the number would be open; the inner part of the circle wouldn't be shaded)

Answer: Carlos does not have enough wires by 0.1 meters

Step-by-step explanation:

To determine if Carlos has enough wires, you need to find out the total amount of wires needed and then compare this to the amount of wires that Carlos has already.

= 0.9 + 0.9 + 0.9

= 2.7 meters

Carlos has 2.6 meters of wire but needs 2.7 meters.  

Carlos therefore, does not have enough wires.

Answer:

20 lbs

Step-by-step explanation:

is heidi dieting cuz thats good!

4 lbs x 5 months = 20 lbs

Answer:6x=-23 - 1

6x=-24

X=-4

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

These angles are congruent due to corresponding angles thm

3x + 21 = 6x - 60

3x - 6x = -60 - 21

-3x = -81

x = 27

3x + 21

3(27) + 21

81 + 21

102

Answer:

its d

Step-by-step explanation:

Answer:

18cm,21cm,27cm

Step-by-step explanation:

explanation in picture

answers for 5 and 6

5) C

6) B

Step-by-step explanation:

hope this helped

Answer:

140 DEGREES

Step-by-step explanation:

160-20=140

Answer:

Step-by-step explanation:

irrational roots always occur in pairs.

Other root is also irrational and is negative of first zero.

If a quadratic equation with integer coefficients and two distinct roots have one irrational root then another root is also irrational .

Any equation of the  form [tex]ax^{2}+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Let assume quadratic equation is

[tex]ax^{2}+bx+c=0[/tex]

Given that coefficients are integer and roots are distinct

we know root of quadratic equation are

[tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]

As roots are distinct

[tex]b^2-4ac > 0\\[/tex]

and one root is irrational so [tex]b^2-4ac[/tex] is not a perfect square

Hence another root is also irrational .

If a quadratic equation with integer coefficients and two distinct roots have one irrational root then another root is also irrational .

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