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lozanna [386]
3 years ago
14

Fill in the blank. In 7k + 5, is the variable. *

Mathematics
1 answer:
GalinKa [24]3 years ago
8 0

Answer:

k

Step-by-step explanation:

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Given the following equation of the hyperbola, what are the x-values of the vertices? x^2/4 - y^2/49 = 1 is it 2 and -2?
Jet001 [13]

Answer:

  yes, ±2

Step-by-step explanation:

The x-intercepts are found by setting y=0 and solving for x:

  x^2/4 = 1

  x^2 = 4

  x = ±√4

  x = ±2

The x-values of interest are -2 and +2.

3 0
3 years ago
Given uv = su tu sv prove vt = st
Lady bird [3.3K]

Answer:  see proof below

<u>Step-by-step explanation:</u>

\begin{array}{cl|cl}&\underline{\text{Statement}}&&\underline{\text{Reason}}\\1.&TU\perp SV&1.&\text{Given}\\2.&\angle TUV = 90^o&2.&\text{De finition of Perpendicular angles}\\&\angle TUS = 90^o&&\\3.&\angle TUV=\angle TUS&3.&\text{Transitive Property}\\4.&UV=US&4.&\text{Given}\\5.&TU=TU &5.&\text{Reflexive Property}\\6.&\triangle TUV = \triangle TUS&6.&\text{SAS Congruency Theorem}\\7.&VT=ST&7.&CPCTC\end{array}

5 0
3 years ago
Write an inequality that represents the graph.
Dimas [21]

Answer:

y=2x+1

Step-by-step explanation:

Y intercept is 1 and slope is 2/1

5 0
3 years ago
A girl ran from her home to a store at the rate of 6 mph, and she walked back home at the rate of 4 mph. if it took 15 minutes f
viva [34]

Home is 0.6 miles away from the store

How to solve such time related questions?

The key concept for solving such questions is the relationship between speed, distance and time.

The relationship between them is Distance = Speed x Time

Given:-

Total time taken by girl to complete the trip = 15 minutes = \frac{1}{4} hours

Speed while riding going = 6 miles per hour

Speed while coming back = 4 miles per hour

Total time taken by girl  =

Time taken while going +   Time taken while coming back      - (1)

  Let x be distance from home to store

       \frac{x}{6} =  Time taken while going

\frac{x}{4} = Time taken while coming back

    Substituting in (1) we get

      \frac{1}{4} =  \frac{x}{6} + \frac{x}{4}

      \frac{1}{4} =  \frac{2x + 3x}{12}

       \frac{1}{4} =  \frac{5x}{12}

      x= \frac{12}{20}

    x = 0.6 miles

Thus home is 0.6 miles away from the store

Learn more about time related  here :

brainly.com/question/12759408

#SPJ4

6 0
2 years ago
You work in a chemical lab. Last quarter, you successfully completed an average of about 5 chemical analyses per day. This quart
Kryger [21]

Answer: 60%

Step-by-step explanation:

Since, According to the question,  Last quarter, we successfully completed an average of about 5 chemical analyses per day.

Therefore initially our average = 5 chemical analyses per day.

Again, From the question, This quarter, we have increased this average to about 8 per day.

Therefore New average =chemical analyses 8 per day

Thus, Percentage change in the average = (Initial average - New average)×100/ initial average  

= \frac{8-5}{5} \times 100

= \frac{3}{5} \times 100

= 60 %

Therefore, Percentage change in the average=60 %


7 0
3 years ago
Read 2 more answers
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