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Tema [17]
3 years ago
7

Use these words to fill in the blank below:

Mathematics
1 answer:
Fantom [35]3 years ago
8 0

Answer:

See below.

Step-by-step explanation:

<u>Tangent</u> segments drawn to a <u>circle</u> from a <u>point</u> outside that <u>circle</u> are <u>congruent</u>.

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Solve the simultaneous equations<br> 3<br> 2x - y = 7<br> xy = 15
ehidna [41]

Answer:

(5, 3 ) and (- \frac{3}{2}, - 10 )

Step-by-step explanation:

Given the 2 equations

2x - y = 7 → (1)

xy = 15 → (2)

Rearrange (1) expressing y in terms of x , that is

y = 2x - 7 → (3)

Substitute y = 2x - 7 into (2)

x(2x - 7) = 15

2x² - 7x = 15 ( subtract 15 from both sides )

2x² - 7x - 15 = 0 ← in standard form

(x - 5)(2x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - \frac{3}{2}

Substitute these values into (3) for corresponding values of y

x = 5 : y = 2(5) - 7 = 10 - 7 = 3 ⇒ (5, 3 )

x = - \frac{3}{2} : y = 2(- \frac{3}{2} ) - 7 = - 3 - 7 = - 10 ⇒ (- \frac{3}{2}, - 10 )

8 0
3 years ago
Elena is 56 inches tall. (Note: 100 inches = 254 centimeters)
Olenka [21]

Elena's height in centimeters is 142.24 cm.

Elena's height in meters is 1.42 meters.

<h3>What is Elena's height in centimeters and meters?</h3>

The mathematical operations that would be used to determine the answers ae division and multiplication.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Multiplication is the operation that is used to determine the product of two or more numbers.

In order to determine the height in centimeters, first determine how many cenitmeters make 1 inch

1 inch = 254 / 100

1 inch = 2.54 cm

Now, convert 56 inches to cm : 56 inches x 2.54 = 142.24 cm

In order to determine the height in meters, first find the unit of conversion of inches to meters

1 inch = 0.0254 meters

0.0254 x 56 = 1.42 meters

To learn more about division, please check: brainly.com/question/13281206

#SPJ1

4 0
2 years ago
True Or False
Nataly_w [17]
1. T
2. F
3. T
4. F
5. ?
4 0
3 years ago
How do you find angle one ^
lara [203]
Since L1//L2 , angle 1 = angle 5

5 0
4 years ago
Select the interval where f(x)&gt;0<br><br> A: -2 B: 1&lt; x&lt;2<br> C: 4<br> HELP
Viefleur [7K]

Answer: 1 < x < 2

Step-by-step explanation:

7 0
3 years ago
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