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2 years ago

Evaluate -4w-3z when w= 5.6 and z = -2.9

1 answer:

4 0

Step by step

Step 1 - -4(5.6)-3(-2.9) {multiply the numbers}. -> -22.4 + 8.7

Step 2 - -22.4 + 8.7 {calculate the sum}
-> -13.7
So the answer is -13.7

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Solve the equation, and check the solutions (√x+3)+6=3.

larisa86 [58]

Answer:

The equation has no solution.

Step-by-step explanation:

Hi there!

First, let´s write the equation:

(√x + 3) + 6 = 3

To solve the equation, let´s subtract 6 to both sides of the equation:

√x + 3 = -3

subtract 3 to both sides of the equation:

√x = -6 (the square root of any number can´t be negative, but let´s solve it anyway and then check the solution).

Square both sides of the equation:

x = 36

Now, let´s check the solution:

(√x + 3) + 6 = 3

x = 36

(√36 + 3) + 6 = 3

(6 + 3) + 6 = 3

9 + 6 = 3

15 ≠ 3

Then, the equation has no solution.

Have a nice day!

6 0

2 years ago

Condense the expression to the logarithm of a single quantity.

kherson [118]

$\dfrac 12 \log_3 x - 2\log_3 (y +8)\\ \\=\log_3 x^{\tfrac 12}- \log_3(y+8)^2~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=\log_3 \left( \dfrac {x^{\tfrac 12}}{y+8)^2} \right)~~~~~~~~~~~~~~~~~~~~~~~~;\left[\log_b \left( \dfrac mn \right) = \log_b m - \log_b n \right]$

3 0

1 year ago

DG¯¯¯¯¯¯ , EG¯¯¯¯¯ , and FG¯¯¯¯¯ are perpendicular bisectors of the sides of △ABC . DG=5 cm and BD=12 cm.

jonny [76]

Given that DG, EG, and FG are perpendicular bisectors of the sides of △ABC, this means that the point of intersection, G, is the circumcenter of the triangle and hence AG, BG, and CG are equal.

Given that DG = 5 cm and BD = 12 cm, then

$BG= \sqrt{DG^2+BD^2} \\ \\ = \sqrt{5^2+12^2} = \sqrt{25+144} \\ \\ = \sqrt{169} =13$

Since AG = BG = CG, therefore, CG = 13 cm.

3 0

2 years ago

The slope of the line below is -5 which of the following is the point-slope form of the line (2,-8)

insens350 [35]

The point slope form has the following syntax.

$y - y_1 = m(x - x_1)$
m = slope = -5
$y - y_1 = -5(x - x_1)$
(x,y) = (2,-8)
$x_1 = 2$
$y_1 = -8$
$y - y_1 = -5(x - x_1)$
$y - (-8) = -5(x - 2)$
$y + 8 = -5(x - 2)$ <------Answer

3 0

3 years ago

Which of the following sets of numbers could not represent the three sides of a right

mario62 [17]

Answer:

The answer is (13,48,50)

5 0

2 years ago