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2 years ago

15

Find the area of the triangle

1 answer:

raketka [301]2 years ago

8 0

The area of the triangle is 253.5 yd^2

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Use the substitution method to solve the following system of equations: 3x + 5y = 3 x + 2y = 0 (1 point) (1, 1) (6, −3) (6, 1) (

PtichkaEL [24]

Step-by-step explanation:

Given.

$3x+5y=3$

$x+2y=0$

Take the second equation and subtract 2y to both sides.

$(x+2y)-2y=0-2y$

$x=-2y$

Substitute x into the first equation and simplify.

$3x+5y=3$

$3(-2y)+5y=3$

$-6y+5y=3$

$-y=3$

Invert.

$y=-3$

Substitute Y into your second equation.

$x+2y=0$

$x+2(-3)=0$

$x-6=0$

Add -6 to both sides.

$(x-6)+6=0+6$

$x=6$

Answer:

(6, -3)

6 0

3 years ago

Sila jogged 12 kilometers today and wants to know how far she traveled in feet. What error did Sila make while converting from k

ozzi

Answer:

umm i'm not rly sure what's going on here...but here's how i'd do it

Step-by-step explanation:

3280.84x12=39370.08 which is about 3,9370 feet.

to double check let's do an algebraic expression

1/3280.84=x/12 cross multiply

x(1)=3280.84(12) simplify

x=39370.08

hope that helped.

8 0

3 years ago

Prove 2√(x) + 1/√(x + 1) <= 2√(x+1) for all x in [0,inf)

EleoNora [17]

Start by multiplying each side of the inequality by $\sqrt{x + 1}$ and simplifying:

$2 \sqrt x + \frac{1}{\sqrt{x+1}} \leq 2 \sqrt{x + 1}$
$(2 \sqrt x + \frac{1}{\sqrt{x+1}})(\sqrt{x + 1}) \leq (2 \sqrt{x + 1})(\sqrt{x + 1})$
$2 \sqrt{x(x + 1)} + 1 \leq 2(x + 1)$
$2 \sqrt{x^2 + x} + 1 \leq 2x + 2$
$2 \sqrt{x^2 + x} \leq 2x + 1$
$\sqrt{x^2 + x} \leq x + \frac{1}{2}$

From here, we can square both sides to get

$x^2 + x \leq (x + \frac{1}{2})^2$
$x^2 + x \leq x^2 + x + \frac{1}{4}$
$0 \leq \frac{1}{4}$ , which is always true.

3 0

2 years ago

Find two positive numbers whose difference is 17 and whose product is 1410

Dafna11 [192]

Answer:

30 and 47

their difference is 17 and when multiplied equal 1410

4 0

3 years ago

How do you find perimeter

Veronika [31]

All you do is add up all your sides! So if your shape has 4+4+5+5 = 18. All you do is add them up!

3 0

3 years ago