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Nuetrik [128]
3 years ago
11

Solve the equation 25z2 + 140 = −29 by using square roots.

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
7 0

Answer:

<u>z</u><u> </u><u>is</u><u> </u><u>1</u><u>3</u><u>i</u><u>/</u><u>5</u>

Step-by-step explanation:

{ \sf{25 {z}^{2}  + 140 =  - 29}} \\ { \sf{25 {z}^{2} =  - 169 }} \\ { \sf{ \sqrt{25 {z}^{2} } =  \sqrt{ - 169}  }} \\ { \sf{5z =  \sqrt{169 \times  - 1} }} \\ { \sf{5z =  \sqrt{169}  \times  \sqrt{ - 1} }} \\ { \sf{5z = 13 \times  \sqrt{ {i}^{2} } }} \\ { \sf{5z = 13i}} \\ { \sf{z =  \frac{13i}{5} }}

Mice21 [21]3 years ago
5 0

Answer:

13i/5

Step-by-step explanation:

25z^2+140=-29      subtract 140 from both sides

25z^2=-169          now square root both sides.

\sqrt{25z^{2} }=\sqrt{-169}     a negative root forms i

5z=13i                    

z=13i/5

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Standard form of the equation that goes through (1, 2) with a slope of 7, please!
Radda [10]

Answer:

7x - y = 5

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Obtain the equation in point- slope form and rearrange into standard form.

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 7 and (a, b) = (1, 2)

y - 2 = 7(x - 1) ← in point- slope form

y - 2 = 7x - 7 ( subtract y from both sides )

- 2 = 7x - y - 7 ( add 7 to both sides )

5 = 7x - y , that is

7x - y = 5 ← in standard form

7 0
3 years ago
What is the opposite of the number 14​
lidiya [134]

Answer:

The opposite of 14 is -14.

Step-by-step explanation:

Opposites are numbers with the same distance from 0 but one is to the right of 0 and the other is to the left of 0.

The opposite of 0 is itself,0.

So the opposite of 5 is -5 since both 5 and -5 have the same distance from 0 and one is to the left and one is to the right of 0.

The opposite of 14 is -14 since both have the same distance from 0 and one is to the right and one is to the left of 0.

You can also think of this question as what can I add to 14 that will give me 0.

The answer is -14 since -14+14=0.

Another word for opposites is additive inverses.  When you add additive inverses you get 0.

Another example: What is the opposite of -16?  

The answer is 16 since 16+(-16)=0.

3 0
3 years ago
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Step-by-step explanation:

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EleoNora [17]

Answer:

Markdown is a reduction in the price of a product, made either by a commercial promotion, by a limited-time offer, by a discount due to a failure in the product, or any other situation that implies the realization of said reduction in the final price of the product for sale.

Thus, if the original price of the product is $282, and it has a markdown of 10%, to determine the discounted amount and the final price of the product, the following calculation must be made:

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Thus, the discount on the original price is $ 28.20. Therefore, the final sale price will be $ 253.80 (since 282 - 28.20 is equal to that number).

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