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3 years ago

X - 5 ≥ -2? What is the answer.

Mathematics

1 answer:

gulaghasi [49]3 years ago

5 0

Assuming we're solving for x, all that needs to be done is to add 5 on both sides.

x - 5 >= -2
+5 +5
x >= 3

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Consider the matrix

DaniilM [7]

$\mathbf A=\begin{bmatrix}4&0&0\\1&3&0\\-4&5&-1\end{bmatrix}$

The characteristic polynomial is given by $\det(\mathbf A-\lambda\mathbf I)$ :

$\mathbf A-\lambda\mathbf I=\begin{bmatrix}4-\lambda&0&0\\1&3-\lambda&0\\-4&5&-1-\lambda\end{bmatrix}$

Compute the determinant by Laplace expansion along the first row:

$\det(\mathbf A-\lambda\mathbf I)=(4-\lambda)\begin{vmatrix}3-\lambda&0\\5&-1-\lambda\end{vmatrix}=(4-\lambda)(3-\lambda)(-1-\lambda)$

$\implies\det(\mathbf A-\lambda\mathbf I)=-\lambda^3+6\lambda^2-5\lambda-12$

6 0

3 years ago

Monica is making 2 loaves of banana bread she needs 3/4 cup of sugar for each lot. Her measuring cup can only hold 1/4 cup of su

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She'll have to fill it up 6 times.

5 0

3 years ago

Read 2 more answers

50 POINTS !!<br><br><br> PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

AlexFokin [52]

Step-by-step explanation:

54^2 + a^2 = 90^2

2916 + a^2 = 8100

a^2 = 8100 - 2916

a^2 = 5184

take the square root of 5184

a = 72

you could have also guessed that its a 3 4 5 right triangle

all the sides are multiples of 3 4 or 5

8 0

3 years ago

Robert is lying on the ground, looking at the top of a flagpole. The angle of elevation to the top of the flagpole is

NeTakaya

Answer:

Height of flagpole = 571 ft

Step-by-step explanation:

Given:

Angle of elevation to the top of the flagpole is 55° .

Distance from the eyes to the base of flagpole = 400 ft.

To find the height of the flagpole.

Solution:

We can draw the situation as a right triangle as shown below.

In triangle ABC.

$BC=400\ ft$

∠C= 55°

To find the length AB (height of the flagpole).

Applying trigonometric ratio :

$\tan\theta=\frac{Opposite\ side}{Adjacent\ side}$

$\tan C=\frac{AB}{BC}$

Plugging in values.

$\tan 55\°=\frac{AB}{400}$

Multiplying both sides by 400.

$400\tan 55\°=\frac{AB}{400}\times 400$

$571.26=AB$

∴ $AB\approx 571\ ft$

Height of flagpole = 571 ft

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4 years ago

Part of the American romantic transcendental belief system included a turning away from the negative effects of industrializatio

Leno4ka [110]

Answer:

<h2><u>Nature</u></h2>

Step-by-step explanation:

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3 years ago