MATHEMATICS HIGH SCHOOL

The graph of the equation x2 + y2 + 8x − 10y − 40 = 0 is which of the following conic sections?ellipse

hyperbola

parabola

circle

Answers

Answer 1
Answer: in form
ax^2+by^2+cx+dy+e=0
to determine the shape
when a=c and b=d, you have a circle

if you do b^2-4ac
if:
1. the result is GREATER than zero: hyperbola
2. result is EQUAL to zero: parabola
3. result is LESS than zero: elipse




x^2+y^2+8x-10y-40
a is not equal c so nt circle
a=1
b=1
c=8
1^2-4(1)(8)
we can see this is less than 0
ellipse

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Jack reads his book for 8 minutes before school and 10 minutes after school. He attends school Monday through Friday. Which equation shows how many minutes Jack reads his book in two weeks? A. (8 × 5) + (10 × 5) = 40 + 50 = 90 minutes B. (8 × 8) + (10 × 10) = 64 + 100 = 164 minutes C. (8 × 10) + (10 × 10) = 80 + 100 = 180 minutes D. (8 × 14) + (10 × 14) = 112 + 140 = 252 minutes

Answers

Answer:

(8 × 10) + (10 × 10) = 80 + 100 = 180 minutes

Step-by-step explanation:

It is given that, Jack reads his book for 8 minutes before school and 10 minutes after school.

No of days between Monday to Friday = 5

No of days between Monday to Friday in 2 weeks = 10

We need to find how many minutes Jack reads his book in two weeks.

For 10 days, before school = (8 × 10) min = 80 minutes

For 10 days, after school = (10 × 10) min = 100 minutes

It means, total time will be :

T = (8 × 10) min + (10 × 10) min

T = 80 + 100

T = 180 minutes

Hence, the correct option is (C).

A mathematical formula designed to predict population fluctuations in a community could be called a(an)

Answers

It would be called an ecological model.

What strategy would be the best to solve this problem? Ann-Marie bought apples. She kept one-third for herself and gave the rest to 4 friends. Each friend got 2 apples. How many apples did Ann-Marie buy? A. guess, check and revise B. work backwards C. use a formula D. look for patterns

Answers

Answer:

D. Look for patterns

Step-by-step explanation:

To solve :

Assume number of apples bought = x

Fraction kept = 1/3 of x

Fraction shared = (x - x/3) = (3x - x) /3 = 2x/3

Number of people who shared (2x/3) = 4 with each getting 2

Total number shared = 4 * 2 = 8

Fraction shared = total shared

2x/3 = 8

Multiply both sides by 3

(2x/3) * 3 = 8 * 3

2x = 24

x = 12

Hence, Anne-Marie purchased 12 apples

What is the value of the 1st quartile in the data set below ? scores on a math quiz: 65, 90, 100, 72, 88, 55, 73

Answers

The 1st quartile is the number in second position if the numbers are arranged in ascending order. This number is 65.

Find the 8th term of geometric sequence {a_{n}, n = 1, 2, 3, . . .} with common ratio r = 0.5 and first term a_{1} = 2.

Answers

a_n=a_1\cdot q^(n-`1)\n\na_1=2;\ q=0.5=(1)/(2)\n\n\na_8=a_1\cdot q^(8-1)=a_1\cdot q^7\n\na_8=2\cdot\left((1)/(2)\right)^7=2\cdot(1)/(2^7)=2\cdot(1)/(128)=(1)/(64)\n\n\nAnswer:a_8=(1)/(64)

The product of 7/16 , 4/3 and 1/2 is?

Answers

The required product of 7/16, 4/3, and 1/2 is 7 / 24.

Given that,
The product of 7 / 16, 4 / 3, and 1 / 2 is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

What is simplification?

The process in mathematics to operate and interpret the function or expression to make the function or expression simple or more understandable is called simplifying and the process is called simplification.


Let the product of given values be x


x = 7 / 16 * 4 / 3 * 1 / 2


Multiplying numerator with numerator and denominator with denominator


x = (7 * 4 * 1) / (16 * 3 * 2)
x = 28 / 96
x = 7 / 24

Thus the required product of 7/16 , 4/3 and 1/2 is 7 / 24.

Learn more about simplification here: brainly.com/question/12501526

#SPJ2
its 7/24 if  its one of yur options hope it helps
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