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shepuryov [24]
2 years ago
8

Using the scale factor, what is the value of x? X=

Mathematics
2 answers:
Ostrovityanka [42]2 years ago
4 0
15/10 = 1.5 scale factor
X= 9
olga_2 [115]2 years ago
4 0

Answer:

9

Step-by-step explanation:

QR- 2(9-3)=

          2(6)=12

MP- 9+5=14

QRS=MNP

12/8, 15/10, 21/14= 3/1

Scale Factor is 3:1 or 3 to 1

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Suppose that an angle is bisected to form two smaller angles that measure (2+30)° and (8+6)° . What is the measure of the origin
Valentin [98]

M<A=(2+30)  M<B=(8+6)

(2+30)+(8+6)

32+14

46

M<A+B=46

Answer: The original angle measured 46 Degrees

6 0
2 years ago
The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?
VARVARA [1.3K]

Answer:

\displaystyle    - 155

Step-by-step explanation:

we are given a quadratic function

\displaystyle f(x) =  - 5 {x}^{2}  + 30x - 200

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

\displaystyle x _{ \rm  min} =  \frac{ - b}{2a}

the given function is in the standard form i.e

\displaystyle f(x) = a {x}^{2}  + bx + c

so we acquire:

  • b=30
  • a=-5

thus substitute:

\displaystyle x _{ \rm  min} =  \frac{ - 30}{2. - 5}

simplify multiplication:

\displaystyle x _{ \rm  min} =  \frac{ - 30}{ - 10}

simply division:

\displaystyle x _{ \rm  min} =  3

plug in the value of minimum x to the given function:

\displaystyle f (3)=  - 5 {(3)}^{2}  + 30.3 - 200

simplify square:

\displaystyle f (3)=  - 5 {(9)}^{}  + 30.3 - 200

simplify multiplication:

\displaystyle f (3)=  - 45  + 90- 200

simplify:

\displaystyle f (3)=   - 155

hence,

the minimum value of the function is -155

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Step-by-step explanation:

8 0
2 years ago
The cost of attendance at State College is $19,500 for the first year. Devise a periodic savings plan that will allow you to mak
nignag [31]
Simple interest rate for one year = 1.5%
simple interest rate over 5 years = 1.5 x 5 = 7.5%

100% + 7.5% = 107.5%
107.5% = $19500
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100% = $18140.50

He needs to put in $18140.50 so that he can get $19,500 at the end of 5 years. 
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3 years ago
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