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e-lub [12.9K]
3 years ago
12

What is the factorization of x2+ 10x+21

Mathematics
1 answer:
Marta_Voda [28]3 years ago
7 0

Answer:

(x+7) (x+3)

Step-by-step explanation:

x times x equals x2

3x + 7x = 10x

7 x 3 = 21

(x+7) (x+3)


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The family wants to determine if they can drive to the national park using Just one tank of gas in their car. Determine whether
Nataliya [291]

Answer:

The Fullers can reach the national park

Step-by-step explanation:

<u><em>The complete question is</em></u>

The Fuller family wants to drive to a national park. Some information about their trip is given in the  table below.

Distance to national park 515 miles

Car’s gas tank capacity 20 gallons

Average gas mileage for car 26 miles per gallon

The family wants to determine if they can drive to the national park using just one tank of gas in their  car. Determine whether the Fullers can reach the national park. Show your work or explain your  answer.

we know that

The Average gas mileage for the car is 26 miles per gallon

That means

With 1 gallon the car runs 26 miles

so

using a proportion

Find out how many miles the car runs with 20 gallons (one tank of gas)

\frac{26}{1}\ \frac{miles}{gallon}=\frac{x}{20}\ \frac{miles}{gallons}\\\\x=26(20)\\\\x=520\ miles

Compare with the distance to the national park

520\ miles>515\ miles

therefore

The Fullers can reach the national park

7 0
3 years ago
In the figure, m&lt;2 = 83, and m&lt;21 = 68. Find the measure of each angle
zhuklara [117]

Answer:

m<1 = 97

m<2 = 83

m<3 = 112

m<4 = 68

m<5 = 112

m<6 = 68

m<7 = 97

m<8 = 83

m<9 = 97

m<10 = 83

m<11 = 112

m<12 = 68

m<13 = 112

m<14 = 68

m<15 = 97

m<16 =  83

Step-by-step explanation:

8 0
3 years ago
MIDDLE SCHOOL MATH DONT ANSWER IF YOU DONT KNO-<br> WILL GIVE BRAINLIEST
Juli2301 [7.4K]

Answer:

Radius is <u>2.8</u> Circumference is <u>17.584 or 17.6 Rounded to the nearest Tenths </u>

Step-by-step explanation:

1. Find circumference with the Formula <u>C=πd</u>

C=3.14 x 5.6

<u><em>C=17.584 or 17.6 Rounded to the nearest Tenths </em></u>

2. Radius is Always half of the Diameter.

5.6/2 = 2.8

<em><u>2.8 is your radius.</u></em>

3. If you want to check you work try the formula C=2πr to see if things checks out.

C=2 x 3.14 x 2.8

<u><em>C= 17.584 or 17.6 Rounded to the nearest Tenths </em></u>

<u><em /></u>

<u><em>Hope this Helps!</em></u>

3 0
2 years ago
Can u pls fix the grammer in this Choose the correct punctuation marks in the passage.
MissTica

Answer:

It was a rainy day , but Joan and I had planned a trip. Joan wanted to go to the beach for a swim. I wasn't sure if we should go.

"I think we should wait a little longer , at least until the rain shows some signs of slowing down," I suggested.

"We can't swim without getting wet anyway," replied Joan, questioning my choice of swimsuit , the one my mom had bought at a secondhand store.

Step-by-step explanation:

5 0
3 years ago
Algebra 1 : ordered pairs kinda dont get it
lesantik [10]

Answer:

<em>Option C; 3x - y = -27 and x + 2y = 16</em>

Step-by-step explanation:

1. Let us consider the equation 21x - y = 9. In this case it would be best to keep the equation in this form, in order to find the x and y intercept. Let us first find to y - intercept, for the simplicity ⇒ 21 * ( 0 ) - y = 9 ⇒ y = - 9 when x = 0. Now if we take a look at the first plot of line q, we can see that the x value is -9 rather than the y value, so this equation doesn't match that of line q. This would eliminate the first two options being a possibility.

2. Now let us consider the equation 3x - y = -27. Let us consider the x-intercept in this case. That being said, ⇒ 3x - ( 0 ) = -27 ⇒ 3x = -27 ⇒ x = -9 when y = 0. As we can see, this coordinate matches with one of the coordinates of line q, which might mean that the second equation could match with the equation for line v.

3. To see whether Option 3 is applicable, we must take a look at the 2nd equation x + 2y = 16. Let us calculate the y - intercept here: ( 0 ) + 2y = 16 ⇒ 2y = 16 ⇒ y = 8 when x = 0. Here we can see that this coordinate matches with that of the second coordinate provided as one of the points in line v. That means that ~ <em>Answer: Option C</em>

<em />

6 0
3 years ago
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