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valentinak56 [21]
3 years ago
13

Solve the inequality 8(x + 1) > 7(x + 2).

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
8 0

Answer:

x > 6

Step-by-step explanation:

elixir [45]3 years ago
5 0
8X + 8 > 7x + 14

subtract 7x and 8 from both sides

x > 6
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Determine the length of the legs in the right triangle below.
Marysya12 [62]

Answer:

x = 14

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + x² = (14\sqrt{2} )²

2x² = 392 ( divide both sides by 2 )

x² = 196 ( take the square root of both sides )

x = \sqrt{196} = 14

Thus the congruent legs are 14 cm

5 0
3 years ago
Solve the system by using a matrix equation (Picture provided)
Katyanochek1 [597]

Answer:

Option b is correct (8,13).

Step-by-step explanation:

7x - 4y = 4

10x - 6y =2

it can be represented in matrix form as\left[\begin{array}{cc}7&-4\\10&-6\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}4\\2\end{array}\right]

A= \left[\begin{array}{cc}7&-4\\10&-6\end{array}\right]

X= \left[\begin{array}{c}x\\y\end{array}\right]

B= \left[\begin{array}{c}4\\2\end{array}\right]

i.e, AX=B

or X= A⁻¹ B

A⁻¹ = 1/|A| * Adj A

determinant of A = |A|= (7*-6) - (-4*10)

                                    = (-42)-(-40)

                                    = (-42) + 40 = -2

so, |A| = -2

Adj A=  \left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]

A⁻¹ =  \left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]/ -2

A⁻¹ =  \left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right]

X= A⁻¹ B

X=  \left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right] *\left[\begin{array}{c}4\\2\end{array}\right]

X= \left[\begin{array}{c}(3*4) + (-2*2)\\(5*4) + (-7/2*2)\end{array}\right]

X= \left[\begin{array}{c}12-4\\20-7\end{array}\right]

X= \left[\begin{array}{c}8\\13\end{array}\right]

x= 8, y= 13

solution set= (8,13).

Option b is correct.

3 0
3 years ago
Help with this math homework
fomenos
+6 ; 45,51
+ evens; 40,52
X -2; -64, 128
+ reducing squares 63+1/4, 63 +13/36
5 0
3 years ago
A free falling object increases speed by a little over 22 miles per hour each second. The arithmetic sequence 22,44,66..., repre
dimulka [17.4K]

Answer:

176 mph after 8 seconds

5 0
3 years ago
PLEASE HELPPP ! YOU GET BRAINLIEST IF CORRECT!!! ​
dedylja [7]

Answer:

A. 78,5 in

Step-by-step explanation:

Formula for circumference of the circle is π × diameter.

<h2>:- Question</h2>

Find the circumeference of the circle!

<h2>:- Solution</h2>

Circumeference = π × diameter

= 3,14 × 25 in

= 78,5 in

The circumeference of the circle is 78,5 in

_______________________

8 0
2 years ago
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