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inn [45]
3 years ago
7

2 1 Add the expressions 4- b +-a and a +-6-7. What is the simplified sum? 3 4 2 6 14 5 Q+b-3 6 3 1 b-3 2 4 3 5. a+2b-3 4 6 5 1 -

6-3 6 12​
Mathematics
1 answer:
Alla [95]3 years ago
8 0

Answer:

-b - 9

Step-by-step explanation:

First, since the a cancel eachother out we are left with (4-b) + (-6-7)

Second, you want to add the -6 and -7 to get -13, so (4-b) - 13

Finally, add the 4 to the negative 13 to get (-b - 9)

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Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.
lyudmila [28]

Answer:

The area of the second enlargement is 1,944 square inches

The area of the second enlargement is (3 squared) squared times the original area.

The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

Step-by-step explanation:

<u><em>Verify each statement</em></u>

1) The area of the first enlargement is 72 square inches.

The statement is false

Because

we know that

The original dimensions of the rectangle are

length 6 inches and width 4 inches

so

First enlargement

Multiply the original dimensions by a scale factor of 3

Length: 6(3)=18\ inches\\Width: 4(3)=12\ inches

The area of the first enlargement is

18(12)=216\ in^2

2) The area of the second enlargement is 1,944 square inches

The statement is true

Multiply the dimensions of the first enlargement by a scale factor of 3

Length: 18(3)=54\ inches\\Width: 12(3)=36\ inches

The area of the second enlargement is

54(36)=1,944\ in^2

3) The area of the second enlargement is (3 squared) squared times the original area.

The statement is true

Because

The original area is 24 square inches

[(3^2)]^2(24)=1,944\ in^2

4) The area of the second enlargement is 3 times the area of the first enlargement

The statement is false

Because

3(216)=648\ in^2

so

648\ in^2 \neq 1,944\ in^2

5) The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

The statement is true

Because

The square of the scale factor is 3^2=9

and the ratio is equal to

\frac{216}{24}=9

8 0
3 years ago
Read 2 more answers
California's highest point, Mt. Whitney, stands 14,505 ft. above sea level. California's lowest point, Death Valley, is 282 ft.
Ainat [17]

Answer:

Difference is 14,787 ft

Step-by-step explanation:

Mt. Whitney = 14,505 ft above sea level

sea level = 0 ft

Death Valley = below sea leve

14505 - (-282) = 14787 ft

4 0
3 years ago
Find the non-extraneous solutions of the square root of the quantity x plus 6 minus 5 equals quantity x plus 1.
sdas [7]
The radical equation is \sqrt{x+6}-5=x+1.


i) We first isolate the square root, adding 5 to both sides of the equation: 
       
                                        \sqrt{x+6}=x+6.

ii) Here let's substitute x+6 with t. Doing so we have:
 
                                         \sqrt{t}=t.

Squaring both sides, we get:
                       
                                               t=t^2

iii) Collecting the variables on the same side, and factorizing t we have:
 
                                               t(t-1)=0, which yields

                              t=0    or       t=1.

Now we solve for x in x+6=t:

x+6=0 ⇒x=-6       and x+6=1⇒x=-5.


iv) Now we check these values in the original equation  \sqrt{x+6}=x+6 :

a) \sqrt{-6+6}=-6+6. ⇒ 0=0 ; Correct.


b) \sqrt{-5+6}=-5+6. ⇒ 1=1 ; Correct.



Answer: <span>x = −6 and x = −5 </span>
5 0
3 years ago
Read 2 more answers
Marissa is making cookies. The recipe uses 6 eggs to make 96 cookies.
Zolol [24]

Answer: Marissa will use 8 eggs

Step-by-step explanation:

7 0
3 years ago
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A magazine wants to estimate the mean price of a large soda at restaurants in Mankato, Minnesota.
Ksenya-84 [330]
<span>The prices of large drinks from a random selection of restaurants in Mankato

Fourth option.

Hope it helps!
</span>
4 0
3 years ago
Read 2 more answers
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