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3 years ago

What is the value of z in the equation 5(2z+4)

Mathematics

2 answers:

Molodets [167]3 years ago

8 0

10z+20 is the answer

morpeh [17]3 years ago

5 0

Answer: z = -2

Step-by-step explanation:

5(2z + 4) = 0

10z + 20 = 0 [distributive property]

10z = -20 [carry over the 20]

z = -2 [divide]

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What is the length of segment AE?

nexus9112 [7]

Answer:

$AE=\frac{50}{3}\ units$

Step-by-step explanation:

step 1

In the right triangle ABC

Applying the Pythagoras Theorem fin the hypotenuse AC

$AC^{2} =AB^{2}+BC^{2}$

substitute

$AC^{2} =6^{2}+8^{2}$

$AC^{2} =100$

$AC =10\ units$

step 2

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

$\frac{AB}{CD}=\frac{AC}{CE}$

substitute and solve for CE

$\frac{6}{4}=\frac{10}{CE}\\ \\CE=4*10/6\\ \\CE=\frac{20}{3}\ units$

step 3

Find the length of segment AE

AE=AC+CE

substitute the values

$AE=10\ units+\frac{20}{3}\ units=\frac{50}{3}\ units$

6 0

3 years ago

Experimental verification of opposite side of parallelograms .

zloy xaker [14]

If you mean proof that the opposite sides of a parallelogram are equal, you draw a diagonal then prove that the 2 triangles formed are congruent.

6 0

3 years ago

Is y-2x=0 proportional?

xz_007 [3.2K]

Yes because it has 0 in it

8 0

2 years ago

Help me out please, im only typing this much because its making me...

Genrish500 [490]

Answer:

B. $x^{2} +2x-8$

Step-by-step explanation:

Here the best method to solve is by substituting the end values of the set in each option , otherwise it will a time consuming problem.

Now substitute x=-4 in all the options

A. $x^{2} -2x-8$

16+8-8=16>0

so out of option A and C option C is correct.

B. $x^{2} +2x-8$

16-8-8=0 which means for the values of x>-4 $x^{2} +2x-8$ is less than 0

Now substitute x=2 in all the options

A. $x^{2} -2x-8$

4-4-8=-8<0 . so option A and C both are incorrect.

B. $x^{2} +2x-8$

4+4-8=0 which means for the values of x<2 $x^{2} +2x-8$ is less than 0

Therefore the correct option is B

6 0

3 years ago

PLEASE HELP ME!!! Ms. Jones wants to install a stone border along the flower bed in her rectangular backyard. Which is closest t

Nataly_w [17]

Answer:

use Pythagoras theorem formula $C^{2}$ = $A^{2}$ + $B^{2}$

Step-by-step explanation:

$C^{2}$ = $24^{2}$ + $18^{2}$

$C^{2}$ = 576 + 324

$C^{2}$ = 900

C = $\sqrt{900}$

C = 30

Does that make sense? :|

3 0

3 years ago