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3 years ago

Which value of x makes the numerical sentence true 25^1/2 x 5^-3=5x

1 answer:

4 0

$25^{\frac{1}{2}} \times 5^{-3} = 5^x$

$(5^2)^{\frac{1}{2}} \times 5^{-3} = 5^x$

$5^1 \times 5^{-3} = 5^x$

$5^{1 - 3} = 5^x$

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

$x = -2$

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Number 4 is 66
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3 years ago

A line passes through the points (-1, 2) and (7,6). What is its equation in slope-intercept form? Write your answer using intege

EleoNora [17]

Answer:

$y = \frac{1}{2} x + \frac{5}{2}$

Step-by-step explanation:

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3 years ago

10 points, doing this one again because I got a wrong answer last time but regardless thank you for trying to help

Alik [6]

Hey ! there

Answer:

Value of missing side i.e. TE is 12 feet

Step-by-step explanation:

In this question we are provided with a right angle triangle having TS - 35 ft and SE - 37 ft . And we are asked to find the missing side that is TE using Pythagorean Theorem .

Pythagorean Theorem : -

According to Pythagorean Theorem sum of squares of perpendicular and base is equal to square of hypotenuse in a right angle triangle i.e.

H² = P² + B²

Where ,

H refers to Hypotenuse

P refers to Perpendicular

B refers to Base

Solution : -

In the given triangle ,

Base = TE

Perpendicular = TS ( 35 feet )

Hypotenuse = SE ( 37 feet )

Now applying Pythagorean Theorem :

$\quad \longmapsto \qquad \:SE {}^{2} = TS {}^{2} + TE {}^{2}$

Substituting values :

$\quad \longmapsto \qquad \:37 {}^{2} = 35 {}^{2} + TE {}^{2}$

Simplifying it ,

$\quad \longmapsto \qquad \:1369 = 1225 + TE {}^{2}$

Subtracting 1225 on both sides :

$\quad \longmapsto \qquad \:1369 - 1225 = \cancel{1225} + TE {}^{2} - \cancel{1225}$

We get ,

$\quad \longmapsto \qquad \:144 = TE {}^{2}$

Applying square root to both sides :

$\quad \longmapsto \qquad \ \sqrt{ 144} = \sqrt{TE {}^{2}}$

We get ,

$\quad \longmapsto \qquad \: \red{\underline{\boxed{\frak{TE = 12 \: feet}}}} \quad \bigstar$

Henceforth , value of missing side is 12 feet .

Verifying : -

Now we are verifying our answer using Pythagorean Theorem . We know that according to Pythagorean Theorem ,

SE² = TS² + TE²

Substituting value of SE , TS and TE :

37² = 35² + 12²

1369 = 1225 + 144

1369 = 1369

L.H.S = R.H.S

Hence , Verified .

Therefore , our answer is correct .

<h2>#Keep Learning</h2>

6 0

2 years ago

Read 2 more answers

Haley's age is 6 years less than half her mother's

Mrrafil [7]

Answer:
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3 years ago

The x-intercepts of a quadratic function are −3 and 5. What is the equation of its axis of symmetry?

Reil [10]

Answer:

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Step-by-step explanation:

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3 years ago