All categories

3 years ago

Consider the following equation. y = 1/3x + 10. Which of the following lines is perpendicular to the one a above ?

Mathematics

1 answer:

seraphim [82]3 years ago

5 0

Answer:

D. Y=3x+10

Step-by-step explanation:

You might be interested in

If a 50 foot cable supporting a circus tent

natta225 [31]

Step-by-step explanation:

using formula that cos= b/h

3 0

2 years ago

the polynomial ky^3+3y^2-3 and 2y^3-5y+k when divided by (y-5) leave the same remainder in each case. Find the value of k.

marshall27 [118]

Answer:

$k=\frac{153}{124}$

Step-by-step explanation:

According to the Remainder Theorem; when P(y) is divided by y-a, the remainder is p(a).

The first polynomial is :

$p(y)=ky^3+3y^2-3$

When p(y) is divided by y-5, the remainder is

$p(5)=k(5)^3+3(5)^2-3$

$p(5)=125k+75-3$

$p(5)=125k+72$

When the second polynomial:

$m(y)= 2y^3-5y+k$ is divided by y-5.

The remainder is;

$m(5)= 2(5)^3-5(5)+k$

$m(5)= 225+k$

The two remainders are equal;

$\implies 125k+72=225+k$

$\implies 125k-k=225-72$

$\implies 124k=153$

$k=\frac{153}{124}$

3 0

3 years ago

Xiao's teacher asked him to rewrite the sum 60+90 the product of the GCF of the two numbers and a sum. Axial wrote 3(20+30). Wha

LuckyWell [14K]

60 + 90

GCF = 30

(30 * 2) + (30 * 3) = 30(2 + 3) <== the correct way

The mistake Axial made was he did not pick the greatest common factor...he picked 3 instead of 30.

4 0

2 years ago

Read 2 more answers

for the State Fair next month 132 people volunteer to plan the fairs activities the volunteers form 12 equal groups how many vol

MA_775_DIABLO [31]

Answer:

132/12

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A florist is creating 10 centerpieces. Roses cost $2.50 each, lilies cost $4 each, and irises cost $2 each. A customer plans on

lana [24]

Answer:

8 Roses; 1 lilie ; 3 irises

Step-by-step explanation:

Let the number of roses be 'a' , number lilies be 'b' and number of irises be 'c'

$300 for 10 centerpieces means $30 per centerpiece. therefore,

$2.5a+4b+2c = 30$ .......................(1)

also each centerpiece must contain 12 flowers, therefore,

$a+b+c=12$ .................................(2)

also twice as much roses as the number of irises and lilies combined

$a = 2(b+c)$

$a-2b-2c=0$ ............................... (3)

a) System of equation are equations (1) , (2) & (3).

Writing a matrix equation

$\left[\begin{array}{ccc}2.5a&4b&2c\\a&b&c\\a&-2b&-2c\end{array}\right] = \left[\begin{array}{ccc}30\\12\\0\end{array}\right]$

b) Solving the simultaneous equation,

from (3), $a=2b+2c$

substituting for 'a' in equation (1) and (2),

⇒ 2.5(2b+2c)+4b+2c=30

⇒ 5b + 5c + 4b + 2c = 30

⇒ 9b + 7c = 30 ..................... (4)

⇒ 2b + 2c + b + c = 12

⇒ 3b + 3c = 12

⇒ b = 4 - c ..............................(5)

Substituting (5) in (4)

9 (4 - c) + 7c = 30

36 - 9c+7c =30

36-30 = 2c

c = 3

b = 4-3 = 1

a = 2(3+1) = 8

3 0

3 years ago