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3 years ago

Solve the system of equations below algebraically.

Mathematics

1 answer:

harkovskaia [24]3 years ago

4 0

Answer:

D) (-3, 0) and (1, 2).

Step-by-step explanation:

5x^2 + y^2 - x + 20y - 48 = 0

x - 2y + 3 = 0

From the second equation:

x = 2y - 3 , so we substitute this in the first equation:

5(2y - 3)^2 + y^2 - (2y - 3) + 20y - 48 = 0

5(4y^2 - 12y + 9) + y^2 - 2y + 3 + 20y - 48 = 0

20y^2 - 60y + 45 + y^2 - 2y + 3 + 20y - 48 = 0

21y^2 - 42y = 0

21y(y - 2) = 0

y = 0 , 2.

So when y = 0 x = 2(0) - 3 = -3

and when y = 2 , x = 2(2) - 3 = 1.

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Decide whether or not the figures are similar. Explain why or why not.

AleksAgata [21]

Step-by-step explanation:

To tell if JKON and JKLM are similar, compare the ratios between corresponding sides. For example:

JK / KO = 5/8

JK / KL = 5/22

The ratios aren't the same, so the shapes aren't similar.

3 0

3 years ago

Raisins, almonds, and sunflower seeds are sold together in packages of 350 g.

frosja888 [35]

Answer:

124.9g approximately 125g

Step-by-step explanation:

Sum of total ratio= 5+7+2= 14

Mass of Raisins = 5/14 x 350 = 125g

Mass of almonds = 7/12 x 350 = 175g

Mass of Sunflower = 2/12 x 350 = 50g

Total package = 125 + 175 + 50 = 350g.

You're Welcome

3 0

2 years ago

Solve the formula for the perimeter of a rectangle, P = 21 + 2w for l

Phoenix [80]

2(w+l)=21+2w

w+l=10.5+w

So l = 10.5

7 0

2 years ago

What is the answer to this question?

Klio2033 [76]

Hey!!!
Answer is.....

Area=
$\pi {r}^{2}$
$3.14 \times {15}^{2}$
$706.5$
Answer is 706.5 cm^2...

HOPE IT HELPS YOU '_'

7 0

3 years ago

Read 2 more answers

There are 20,000 members of a zoo. The percent of

schepotkina [342]

1500 members have a contributor membership.

64.8% of the noncontributory memberships are individual memberships.

Step-by-step explanation:

There are 20,000 members of a zoo.

⇒ Total members = 20,000

From the graph shown,

7.5% of the members have a contributor membership.

To find the number of members who have contributor membership :

⇒ 7.5% of 20,000

⇒ (7.5/100) × 20,000

⇒ 7.5 × 200

⇒ 1500 members.

Therefore, 1500 members have a contributor membership.

To find the percentage of the noncontributory memberships are individual memberships :

The percentage of noncontributory memberships = 100% - 7.5% ⇒ 92.5%

The percentage of individual memberships = 60%

∴ What percentage of the noncontributory memberships are individual memberships ⇒ (60 / 92.5) × 100 = 64.8%

3 0

3 years ago