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bulgar [2K]
3 years ago
12

Find the area of the figure by subtraction.

Mathematics
1 answer:
arsen [322]3 years ago
3 0

Answer:

<em>56</em>

Step-by-step explanation:

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Find the value of x for which the lines rand s are parallel.
erastovalidia [21]

Answer:

x = 12

Step-by-step explanation:

<1 and the 142-deg angle are vertical, so m<1 = 142 deg

The angle measuring 3x + 2 and <1 are same-side interior angles. If the lines are parallel, then those two angles are supplementary.

3x + 2 + 142 = 180

3x + 144 = 180

3x = 36

x = 12

3 0
3 years ago
Write a quadratic equation given the roots -1/3 and 5, show your work
Travka [436]

\boxed{(x - a)(x - b) = 0}

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

x =  -  \frac{1}{3}  \\ x = 5

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

(x +  \frac{1}{3} )(x -  5) = 0

Here we can convert the expression x+1/3 to this.

x +  \frac{1}{3}  = 0 \\  3x + 1 = 0

Rewrite the equation.

(3x + 1)(x - 5) = 0

Simplify by multiplying both expressions.

3 {x}^{2}  - 15x + x - 5 = 0 \\ 3 {x}^{2}  - 14x  - 5 = 0

<u>Answer</u><u> </u><u>Check</u>

Substitute the given roots in the equation.

3 {(5)}^{2}  - 14(5)  - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0

3( -  \frac{1}{3} )^{2}  - 14( -  \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) +  \frac{14}{3}  - 5 = 0 \\  \frac{1}{3}  +  \frac{14}{3}  -  \frac{15}{3}  = 0 \\  \frac{15}{3}  -  \frac{15}{3}  = 0 \\ 0 = 0

The equation is true for both roots.

<u>Answer</u>

\large \boxed {3 {x}^{2}  - 14x - 5 = 0}

8 0
2 years ago
ILL GIVE BRAINLIEST! FIND THE MEASURE OF B AND SHOW YOUR WORK. If you dont show the equation you used to get your answer then i
lutik1710 [3]

Answer:

23 and 131

Step-by-step explanation:

For the first one. Since a whole entire angle thingie is 360, subtract 243 and 94 from 360. Answer is 23 :)

For the second one. This is a supplementary angle. 180- 49 is 131. Your done!

7 0
3 years ago
A zucchini plant in Darnell’s garden was 10 centimeters tall when it was first planted. Since then, it has grown approximately 0
Mariulka [41]

Answer:

Let's start with part B. if it was originally 10 cm tall and it goes up 0.5 cm. each day, then we know that to go up one cm it needs two days. With that information we can say that 8*2 = 16. So it needs 17 days to go up 8.5 cm which would make it 18.5 cm tall.

Step-by-step explanation:

f(x) = 0.5x + 10

0.5x + 10 = 18.5

0.5x = 18.5 - 10

0.5x = 8.5

x = 8.5/0.5

x = 17 days

6 0
3 years ago
What is the solution set of -11 &gt; 1 + a?<br>a &gt; -10<br>a -12
Luda [366]
Answer is 10 because I just took the test
5 0
3 years ago
Read 2 more answers
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