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2 years ago

Simplify the following expressions. All answers should be in standard form.

Mathematics

1 answer:

Ratling [72]2 years ago

6 0

Answer:

The given expression in simplified form is: $15x^2+10x$

Step-by-step explanation:

Simplifying the expression involve reducing the number of terms to minimum and making the expressions in standard form.

This may involve addition, subtraction and multiplication of variables.

Given expression is:

$5x(3x+2)$

Distributing 5x will give us:

$= 5.3.x.x + 5.2.x\\=15x^2+10x$

Hence,

The given expression in simplified form is: $15x^2+10x$

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The pH scale measures how acidic or basic a substance is. Bleach is said to have a pH of less than 14 and greater than 11. Model

Harrizon [31]

Answer:

The answer to your question is: 11 < pH < 14

Step-by-step explanation:

Data

Bleach have a pH less than 14 and greater than 11.

We have to use these symbols:

< greater than > less than

and pH will be in the middle

11 < pH < 14

This inequality means the Bleach has a pH between 11 and 14

4 0

2 years ago

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Homer wants to identify the center and radius of the circle defined by the equation x2 + y2 - 14x +

Klio2033 [76]

Homer has made mistake in step 2

When you complete the square, you need to add the values to both sides of equation

Solution:

Given equation of circle:

$x^2 + y^2 -14x + 2y -25 = 0$

Let us first calculate center and radius and find out where he did the mistake

Step 1:

Group the terms

$x^2 -14x + y^2 + 2y = 25\\\\(x^2 -14x) + (y^2 + 2y) = 25$

Step 2:

$(x^2 -14x + 49) + (y^2 + 2y + 1) = 25 + 49 + 1$

But homers step 2 is:

$(x^2 -14x + 49) + (y^2 + 2y + 1) = 25$

So homer has made mistake in this step

When you complete the square, you need to add the values to both sides of equation

But homer did not add 49 and 1 to right side of equation

Correct steps are:

$(x^2 -14x + 49) + (y^2 + 2y + 1) = 75\\\\(x-7)^2 + (y+1)^2 = 75$

Comparing general equation of circle,

$(x-h)^2 + (y-k)^2 = r^2$

Therefore, center is ( 7, -1) and radius is 8.66

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2 years ago

40 POINTS PLEASE HURRY! Which table shows a set of ordered pairs that satisfies the equation shown?

salantis [7]

Answer:

Step-by-step explanation:

The answer is B, if we were to plug all the values of x with its corresponding value of y into the equation, everything matches up

Hope that helps

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1 year ago

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What is a number that when you multiply it by 8 and subtract 12 from the product, you get 76?

SVEN [57.7K]

I made an equation and calculated it. The answer is 11.

5 0

2 years ago

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An observer at the top of a 532 foot cliff measures the angle of depression from the top of the cliff to a point on the ground t

Over [174]

Answer:

Distance from the base of the cliff to the point on the ground = 7608 feet

Step-by-step explanation:

Given: Height of the cliff is 532 feet, angle of depression from the top of the cliff to a point on the ground is equal to 4 degrees.

To find: distance from the base of the cliff to the point on the ground

Solution:

In ΔABC,

$\angle ACB=4^{\circ}$ (Alternate interior angles)

For any angle $\theta$ , $\tan \theta =$ side opposite to angle/side adjacent to angle

$\tan C=\frac{AB}{BC}$

Put $AB=532\,,\,\angle C=4^{\circ}$

$\tan 4^{\circ}=\frac{532}{BC}\\\\BC=\frac{532}{\tan 4^{\circ}}\\\\=7607.95\\\\\approx 7608\,\,feet$

Distance from the base of the cliff to the point on the ground = 7608 feet

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5 0

2 years ago