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3 years ago

Please help very urgent on test...

Mathematics

1 answer:

stepladder [879]3 years ago

8 0

Answer:

Equation: (2x+5)4=(2x+8)3

X: 2

Perimeter: 36

Step-by-step explanation:

You would multiply 2x+5 and 4 because there are four sides to a square, so the perimeter of the square would be 8x+20. This would go same for the triangle, making the perimeter 6x+24.

So 8x+20=6x+24 is your new equation. Then, you do the opposite of the order of operations, and add or subtract first. It would be easiest to subtract 20 and 6x from both sides.

That leaves you with 2x=4. Dividing 2 by both sides means x=2

You can plug this in to prove if it is correct.

16+20=36

12+24=36

Lmk if you get it!

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Question 5 (12 points)

Dima020 [189]

Answer:

see attached for diagram

a) √13

b) √29

c) 4

Step-by-step explanation:

Equation of the circle: $(x + 1)^2 + (y - 3)^2 = 16$

⇒ center = (-1, 3)

⇒ radius = √16 = 4

Distance between 2 points formula:

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

a) let (-1, 3) = $(x_1,y_1)$

let (2, 1) = $(x_2, y_2)$

$\implies \sqrt{(2+1)^2+(1-3)^2} =\sqrt{13}$

b) let (-1, 3) = $(x_1,y_1)$

let (4, 1) = $(x_2, y_2)$

$\implies \sqrt{(4+1)^2+(1-3)^2} =\sqrt{29}$

c) let (-1, 3) = $(x_1,y_1)$

let (3, 3) = $(x_2, y_2)$

$\implies \sqrt{(3+1)^2+(3-3)^2} =4$

4 0

3 years ago

Read 2 more answers

How do you do this

77julia77 [94]

Answer:

3.54

Step-by-step explanation:

6 x $0.59 = $3.54

you multiply the 6 times the 59 cents

3 0

3 years ago

Hey could someone please help me with this really hard assignment is taking me forever. Thank you marking brainliest!

rewona [7]

Answer:

Exercise 1: The length of the unknown leg is 4 inches.

Exercise 3: The following straws can be used to construct the triangle: b) $3\,in$ , c) $4.5\,in$ , d) $6.5\,in$ , e) $10\,in$ , f) $13.5\,in$

Exercise 4: Possible options of this exercise: 1) (2, 4, 5), 2) (4, 5, 6), 3) (5, 6, 10), 4) (1, 2, 11), 5) (1, 4, 11), 6) (1, 10, 11)

Step-by-step explanation:

Exercise 1:

Let suppose that triangle represented in the figure is a right triangle, the length of the missing leg is determined by Pythagorean Theorem:

$y = \sqrt{l^{2}-x^{2}}$ (1)

Where:

$l$ - Hypotenuse, in inches.

$x$ - Known leg, in inches.

$y$ - Unknown leg, in inches.

If we know that $l = 11\,in$ and $x = 10\,in$ , then the length of the unknown leg is:

$y = \sqrt{21}$

Since 4 is the least whole number closest to $\sqrt{21}$ , then we conclude that the length of the unknown leg is 4 inches.

Exercise 3:

The range of possible lengths for the missing side of the triangle is represented by the following simultaneous inequality:

$x + y > l > x-y$ (2)

Where:

$x$ - Greater side, in inches.

$y$ - Lesser side, in inches.

$l$ - Missing side, in inches.

If we know that $x = 8\,in$ and $y = 6\,in$ , then we have the following range of missing sides:

$14\,in > l > 2\,in$

The following straws can be used to construct the triangle: b) $3\,in$ , c) $4.5\,in$ , d) $6.5\,in$ , e) $10\,in$ , f) $13.5\,in$

Exercise 4:

Let check each pair to determine possible constructions by means of the inequality used in Exercise 3:

(i) $x = 4\,in, y = 2\,in$

$6\,in>l>2\,in$

Possible choices: 5 inches.

(ii) $x = 5\,in, y = 2\,in$

$7\,in > l > 3\,in$

Possible choices: 4 inches, 6 inches.

(iii) $x = 6\,in, y = 2\,in$

$8\,in > l > 4\,in$

Possible choices: 5 inches, 6 inches.

(iv) $x = 10\,in, y = 2\,in$

$12\,in > l > 8\,in$

Possible choices: None.

(v) $x = 5\,in, y = 4\,in$

$9\,in > l > 1\,in$

Possible choices: 2 inches, 6 inches.

(vi) $x = 6\,in, y = 4\,in$

$10\,in > l > 2\,in$

Possible choices: 5 inches.

(vii) $x = 10\,in, y = 4\,in$

$14\,in > l > 6\,in$

Possible choices: None.

(viii) $x = 6\,in, y = 5\,in$

$11\,in > l > 1\,in$

Possible choices: 2 inches, 4 inches, 10 inches.

(ix) $x = 10\,in, y = 5\,in$

$15\,in > l > 5\,in$

Possible choices: 6 inches.

(x) $x = 10\,in, y = 6\,in$

$16\,in > l > 4\,in$

Possible choices: 5 inches.

Possible options of this exercise: 1) (2, 4, 5), 2) (4, 5, 6), 3) (5, 6, 10), 4) (1, 2, 11), 5) (1, 4, 11), 6) (1, 10, 11)

7 0

3 years ago

Read 2 more answers

HELP ASAP, PLZZZZZ

Novosadov [1.4K]

Answer:

Answer C: -5,0

Step-by-step explanation:

I'm probs way late, but there's your answer. Good luck to future exeminese!

4 0

3 years ago

Please help I just need the equation

marishachu [46]

Answer:

y = -5x

Step-by-step explanation:

don't mind this bsjsvaauuachjquav

6 0

3 years ago