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2 years ago

Translate the sentence into an inequality.

Mathematics

1 answer:

svp [43]2 years ago

6 0

Answer:

2c - 3 >= 19

Step-by-step explanation:

Solving it:

2c >= 22

c >= 11

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Please help me solve. Surface area of this pyramid?

Sever21 [200]

Answer:

4,784ft^2

Step-by-step explanation:

Well in this case we will just use the square and triangle area formulas instead of the pyramid surface area formula.

So if the base is a square then the area is 32*32 which is 1,024.

Now for the trangle, the area of a triangle b*h/2.

So b*h is 47*32 which is 1,504.

So 1,504/2 is 752.

So 752 is the area of 1 triangle and we have 4 so 5*752 is 3,760.

So 3,760 + 1,024 is 4,784.

So the total SA if the pyramid is 4,784ft^3.

6 0

3 years ago

Read 2 more answers

Which of the following is the solution to |7x+12|=12

tamaranim1 [39]

Answer:

$x=-\frac{24}{7}\\x=0$

Step-by-step explanation:

1. You must clear the absolute value bars.

2. You have two cases: a positive case and a negative case.

3. First, you can solve the positive case as following:

$7x+12=12\\7x=12-12\\x=0$

4. Now, you must solve thie negative case as you can see below:

$-(7x+12)=12\\-7x-12=12\\-7x=24\\x=-\frac{24}{7}$

5. Therefore, the answer is:

$x=-\frac{24}{7}\\x=0$

6 0

2 years ago

Write the equation of the line in fully simplified slope-intercept form.

Bad White [126]

Answer:

$y = -\frac{2}{5} x-6$

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula $m =\frac{y_2-y_1}{x_2-x_1}$ . Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):

$m = \frac{(-6)-(-4)}{(0)-(-5)} \\m = \frac{-6+4}{0+5} \\m = \frac{-2}{5} \\$

So, the slope of the line is $-\frac{2}{5}$ .

2) Next, use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the $m$ , $x_1$ and $y_1$ into the formula.

Since $m$ represents the slope, substitute $-\frac{2}{5}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:

$y-(-6) = -\frac{2}{5} (x-(0))\\y + 6 = -\frac{2}{5} x\\y = -\frac{2}{5} x-6$

6 0

3 years ago

Im just going to post a picture

xz_007 [3.2K]

Answer:

the picture is hard

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Which equation has exactly two real and two non real solutions?

tatiyna

Answer:

The first option $x^4-21x^2-100=0$ .

Step-by-step explanation:

To have exactly 2 real and two non real solutions, the degree of the polynomial must be a degree 4. Degree is the highest exponent value in the polynomial and is also the number of solutions to the polynomial. This polynomial ha 2 real+2 non real= 4 solutions and must be $x^4$ . This eliminates the bottom two solutions.

In order to have two real and two non real solutions, the polynomial must factor. If it factors all the way like

$x^4-100x^2=0\\x^2(x^2-100)=0\\x^2(x-10)(x+10)=0\\\\x^2=0\\x-10=0\\x+10=0$

This means x=0, 10, -10 are real solutions to the polynomial. It has no non real solutions. This eliminates this answer choice.

Only answer choice 1 meets the requirement.

5 0

3 years ago

Read 2 more answers