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2 years ago

Help plz 20 points question is in the pic

Mathematics

1 answer:

Leviafan [203]2 years ago

8 0

I believe it is 5, the picture is kind of blurry but if 5 is a answer choice it is most likely 5

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X² + y² = 8

ohaa [14]

Answer:

$(2,2)~ \text{and}~ (-2,-2)$

Step by step explanation:

$x^2 +y^2 =8~~~~~~...(i)\\\\x-y=0~~~~~~~~~...(ii)\\\\\text{From (ii):}\\\\x-y = 0 \implies x = y\\\\\text{Substitute x = y in eq (i):}\\\\~~~~~~y^2 +y^2 =8\\\\\implies 2y^2 = 8\\ \\\implies y^2 = \dfrac 82\\\\\implies y^2 = 4\\\\\implies y = \pm\sqrt 4\\\\\implies y = \pm 2\\\\\text{Substitute y = x in equation (i):}\\ \\~~~~~~x^2 +x^2 = 8\\ \\\implies 2x^2 = 8\\\\\implies x^2 = \dfrac 82\\\\\implies x^2 = 4\\\\\implies x = \pm\sqrt 4\\\\\implies x = \pm2\\\\$

$\text{Hence,}~ (x,y) = (\pm2, \pm 2)$

3 0

2 years ago

Order the steps to solve the equation log(x^2-15)=log(2x) form 1 to 5

nasty-shy [4]

Answer:x=-5 and x=3

Step-by-step explanation:

log(x^2-15)=log(2x)

Cancel log at both sides we get

x^2-15=2x

Collect like terms

x^2-2x-15=0

x^2-3x+5x-15=0

x(x-3)+5(x-3)=0

(x+5)(x-3)=0

x+5=0 x-3=0

x=-5 x=3

6 0

3 years ago

Maya and Mabel are inspecting an 80:1 scale floor plan of their new house. The dimensions of the living room on the scaled floor

AveGali [126]

Answer:

208 ⅓ ft²

Step-by-step explanation:

1⅞ = 15/8 inches ÷ 12

= 5/32 feet on map

Actual = 5/32 × 80

= 25/2 feet

2½ = 5/2 inches ÷ 12

= 5/24 feet on map

Actual = 5/24 × 80 = 50/3

Actual area:

25/2 × 50/3

= 625/3 ft²

= 208 ⅓ ft²

4 0

2 years ago

What is the inverse of the function f(x) = 2x - 10?

ollegr [7]

Answer:

h(x) = x/2 + 5

Step-by-step explanation:

f(x) = 2x - 10

Step 1. Replace f(x) with y.

y = 2x - 10

Step 2. Switch variables x and y.

x = 2y - 10

Step 3. Solve for y.

2y - 10 = x

2y = x + 10

y = x/2 + 5

Step 4. Replace y with h(x)

h(x) = x/2 + 5

4 0

2 years ago

Read 2 more answers

There are two numbers, and one is 7 more than twice the other. The sum of the numbers is 43. What are the numbers? If x is less

chubhunter [2.5K]

Answer:

43-7=x

Step-by-step explanation:

5 0

2 years ago