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Lubov Fominskaja [6]
2 years ago
11

Simplify: x2 +5x-14 x2+10x+21

Mathematics
1 answer:
goblinko [34]2 years ago
5 0

Answer:

4x + 15x + 7

Step-by-step explanation:

x2 + x2 = 4x

5x + 10x = 15x

-14 + 21 = 7

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Δ HFM- Δ PST What is the perimeter of triangle PST? Enter your answer in the box.
fgiga [73]

Step-by-step explanation:

\triangle HFM \sim \triangle PST... (Given) \\\\\therefore   \frac{HF}{PS}  =  \frac{FM}{ST}  =  \frac{HM}{PT}...(csst) \\  \\ \therefore   \frac{30}{PS}  =  \frac{35}{ST}  =  \frac{45}{9}\\  \\ \therefore   \frac{30}{PS}  =  \frac{35}{ST}  =  \frac{5}{1} \\  \\ \therefore  \frac{30}{PS}  =  \frac{5}{1} \\  \\ \therefore PS =  \frac{30}{5} \\  \\\boxed{ \therefore PS =  6 }\\  \\  \because \: \frac{35}{ST}  =  \frac{5}{1} \\  \\  \therefore \: ST = \frac{35}{5}  \\  \\    \boxed{\therefore \: ST = 7} \\  \\ perimeter \: of \: \triangle PST  \\ = 9 + 7 + 6 \\  = 22 \: units

4 0
2 years ago
Lilli jogs 12 mile in 110 hour. What is Lilli's rate in miles per hour?
KIM [24]

Answer:

.109090909 miles per hour

Step-by-step explanation:

To find miles per hour, take the miles and divide by the hours

12 miles/110 hours

.109090909 miles per hour

6 0
2 years ago
Read 2 more answers
​ △BCD ​ is a right triangle. The length of the hypotenuse is 19 centimeters. The length of one of the legs is 13 centimeters.
zheka24 [161]
<span>here we can use Pythogoras' theorem.
in right angled triangles the square of the hypotenuse is equal to the sum of the squares of the other 2 sides.
hypotenuse is 19 cm. One side is 13 cm and we need to find the length of the third side.
                                                                         
19</span>²<span> = 13</span>²<span> + X</span>²<span> 
X - length of the third side
                                                           
361 = 169 + X</span>²<span> 
X</span>²<span> = 361 - 169
                                                                     
X</span>²<span> = 192
                                                                             
X = 13.85 the length of third side rounded off to the nearest tenth is 13.9 cm</span>
3 0
2 years ago
Write the pair of fractions as a pair of fractions with a common denominator.
galben [10]

Answer:

3/10 and 4/10       4/12 and 9/12

Step-by-step explanation:

4 0
3 years ago
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Describe the relationship between the number of places a decimal point is moved to the left and the change in the value of the n
dimaraw [331]
For every decimal place you move a decimal through a number you can think of it as multiplying or dividing by ten. 

take for example 1000.0 
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but, if you make the number bigger, say 10000. then you have multiplyed by ten. 
3 0
3 years ago
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