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2 years ago

50 POINTS !!! For what value of x does 625 = 5 Superscript 6 minus 2 x? 1 2 4 5

Mathematics

2 answers:

Gwar [14]2 years ago

8 0

The value of x is 1

Step-by-step explanation:

According to the problem

625 = $5^{6 - 2x}$

or, $5^{4}$ = $5^{6 - 2x}$

By the rule of index

4 = 6 - 2x

or, 2x = 6 - 4

or, 2x = 2

or, x = 1

Marianna [84]2 years ago

3 0

Answer:

Step-by-step explanation:

to get 625, you need 5^4.

5^6-2=5^4, so to get to 6-2 in the exponents, you need to multiply -2 by 1.

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LenKa [72]

B. The measure of angle w is the same as the measure of angel z

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2 years ago

Triangles O N M and S R Q are shown. Angles O N M and S R Q are congruent. The length of side N M is 10 and the length of side S

valina [46]

Answer:

Option C.

Step-by-step explanation:

In △ONM and △SRQ,

$\angle ONM\cong \angle SRQ$

$NM=10$

$SR=20$

$NO=8$

$QR=x$

We need to find the value of x that will make △ONM similar to △SRQ by the SAS similarity theorem.

According to SAS similarity theorem, two triangle are similar if two corresponding sides in both triangles are proportional and the included angle in both are congruent.

It is given that $\angle ONM\cong \angle SRQ$ . So, both triangles are similar by SAS if

$\dfrac{NO}{NM}=\dfrac{SR}{QR}$

Substitute the given values.

$\dfrac{8}{10}=\dfrac{20}{x}$

$8\times x=20\times 10$

$8x=200$

Divide both sides by 8.

$x=\dfrac{200}{8}$

$x=25$

Therefore, the correct option is C.

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3 years ago

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Here are the ingredients for raspberry ripple ice cream.

oee [108]

10 pounds of sugar for 5 litres of cream.

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2 years ago

[PLEASE HELP] Each of these statements describe a transformation of a graph of y = x, The which of the statements correctly desc

Sphinxa [80]

Answer:

Step-by-step explanation:

Adding the 7 to the input (x) will increase the output (y) by 7. Therefore, the graph is translated 7 units up.

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3 years ago

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If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain

Ainat [17]

Begin by finding the lowest point the quadratic equation can be, the vertex;

x²-1= is just a translation down of the graph x²

vertex; (0, -1) and since the graph of x² would extend to infinity beyond that point, we can say {x| x≥0} for domain and {y| y≥-1}.

For the linear equation, it is possible to have all x and y values, therefore range and domain belong to all real numbers.

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3 years ago