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2 years ago

Solve the equation for x. √x+5 -1 = 2

Mathematics

1 answer:

larisa [96]2 years ago

8 0

Answer:

Step-by-step explanation:

Equation

√(x + 5) - 1 = 2 I take it that you want the 5 to be with the x.

Solution

√(x + 5) - 1 = 2 Add 1 to both sides

√(x + 5) - 1 +1 = 2 + 1 Combine

√(x + 5) = 3 Square both sides

√(x + 5)² = 3² Combine

x + 5 = 9 Subtract 5 from both sides

x + 5- 5 = 9- 5

x = 4

Answer x = 4

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Order the numbers from least to greatest. 54%, 2/5, -0.45 SHOW YOUR WORK!

Tom [10]

Answer:

-0.45, 2/5, 54%

Step-by-step explanation:

54%=54/100

=87/50

2/5=20/50

-0.45 must be the smallest as it is negative

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3 years ago

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yuradex [85]

Answer:

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Step-by-step explanation:

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3 years ago

The vertex of the parabola below is at the point (3,2) and the point (4,6) is on the parabola. What is the equation of the parab

nata0808 [166]

Answer:

$\large\boxed{y=4(x-3)^2+2\ \bold{vertex\ form}}\\\boxed{y=4x^2-24x+38\ \bold{standard\ form}}$

Step-by-step explanation:

The vertex form of a parabola:

$y=a(x-h)^2+k$

(h, k) - vertex

We have the vertex at (3, 2) → h = 3 and k = 2.

Substitute:

$y=a(x-3)^2+2$

The point (4, 6) is on athe parabola. Put the coordinates of this point to the equation:

$6=a(4-3)^2+2$ subtract 2 from both sides

$6-2=a(1)^2+2-2$

$4=a\to a=4$

Finally:

$y=4(x-3)^2+2$ vertex form

use (a - b)² = a² - 2ab + b²

$y=4(x^2-6x+9)+2$ use the distributive property

$y=4x^2-24x+36+2$

$y=4x^2-24x+38$ standard form

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3 years ago

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PolarNik [594]

40/10 can be reduced by ten. Divide both numbers by 10, and the answer is 4/1. Or the answer can just be 4, because 4 divided by 1 is 4.

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3 years ago