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2 years ago

If A = [

Mathematics

1 answer:

Vlada [557]2 years ago

5 0

Answer:

Hello,

Step-by-step explanation:

$A=\begin{bmatrix}-4 & 2 \\3 & -7 \end{bmatrix}\\\\|A|=det \ A=-4*(-7)-3*2=28-6=22\\\\$

$Adj\ A= \begin{bmatrix}-7 & 3 \\2 & -4 \end{bmatrix}\\$

$A^{-1}=\begin{bmatrix}\dfrac{-7}{22} & \dfrac{2}{22} \\\\\dfrac{3}{22} & \dfrac{-4}{22} \end{bmatrix}$

d) Since A has an inverse, A is inversible and not singular.

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Free points insta: (jqyneii) giving Brainliest to the first person :D make sure to get outside its good for you ily <3

kiruha [24]

Answer:

THANKS FOR THE POINTS

Step-by-step explanation:

3 0

3 years ago

Quincy was stuck inside during an afternoon rainstorm. He spent 20 minutes reading books, 18 minutes eating lunch, 12 minutes wa

SSSSS [86.1K]

Answer:

The answer is B. He spent 3 minutes eating lunch for every 10 minutes.

Step-by-step explanation:

He spent stuck inside during the brainstorm for:

20+18+12+10= 60 minutes in total.

And now we want to know what he did for every 10 minutes he spent in the rainstorm. To do that we need to divide what he did for every 10 minutes by the total of minutes that he was stuck:

$\frac{10}{60} =\frac{1}{6}$

And now we can multiply the time of the activities by 1/6 to get the time he did each activity every 10 minutes.

Reading:

$20*\frac{1}{6} = 3.33$ minutes reading for every 10 minutes.

Eating:

$18*\frac{1}{6} = 3$ minutes eating for every 10 minutes.

Watching TV:

$12*\frac{1}{6} = 2$ minutes watching TV for every 10 minutes.

Drawing:

$10*\frac{1}{6} = 1.67$ minutes drawing for every 10 minutes.

Therefore he spent 3 minutes eating lunch for every 10 minutes.

4 0

3 years ago

Read 2 more answers

Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity. In the given triangle ABC, angle A

lana66690 [7]

The relationship between the lengths of the sides of a right triangle are

given by Pythagoras theorem.

Part A: ΔABC is similar to ΔADC

Part B: ΔABC and ΔADC are similar according AA similarity postulate

Part C: DA = 6

Reasons:

Part A:

∠A = 90°

Segment AD ⊥ Segment BC

Location of point D = Side BC

Part A: In triangle ΔABC, we have;

∠A = 90°, ∠B = 90° - ∠C

In triangle ΔADC, we have;

∠ADC = 90°, ∠DAC = 90° - ∠C

∴ ΔABC is similar to ΔADC by Angle-Angle, AA, Similarity Postulate

Part B: The triangles are similar according to AA similarity postulate,

because two angles in one triangle are equal to two angles in the other

triangle and therefore, by subtraction property of equality, the third angle

in both triangles are also equal.

Part C: The length of DB = 9

The length of DC = 4

Required: Length of segment DA

In triangle ΔABD, we have;

∠BDA = 90°= ∠ADC

∠DAC ≅ ∠B by Congruent Parts of Congruent Triangles are Congruent

Therefore;

ΔABD ~ ΔADC by AA similarity, which gives;

$\displaystyle \frac{\overline{DA}}{\overline{DC}} = \frac{\overline{BD}}{\overline{DA}}$

$\overline{DA}^2$ = $\overline{DC} \times \overline{BD}$

Which gives;

$\overline{DA}^2$ = 4 × 9 = 36

$\overline{DA}$ = √(36) = 6

$\overline{DA}$ = 6

Learn more here:

brainly.com/question/2269451

3 0

2 years ago

I don't understand how to do this. Can anyone help. Preferably with steps. Thank you in advance!

Andrew [12]

You put the x=6
6³-4(6)²-12(6)+15=15

3 0

3 years ago

Which angels are corresponding angles

stellarik [79]

Answer:

B. 5 and 7

E. 1 and 3

F. 6 and 8

Step-by-step explanation:

The angles in matching corners are called corresponding angles.

7 0

2 years ago