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3 years ago

Round to the nearest tenth place

Mathematics

1 answer:

Sever21 [200]3 years ago

5 0

Answer:

8.9

Step-by-step explanation:

$x^2 + 19^2 = 21^2 \\x = \sqrt{80} = 8.9$

rounded to the nearest tenth

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(x^2-4x)^2+7x^2-28x+12=0

Valentin [98]

Answer:

$x^4-9x^2-28x=-12$

Step-by-step explanation:

$(x^2-4x)^2+7x^2-28x+12=0$

$(x^4-16x^2)+7x^2-28x=-12$

$x^4-9x^2-28x=-12$

7 0

3 years ago

Which ordered pairs are solutions to the inequality y−2x≤−3?

My name is Ann [436]

we will proceed to resolve each case to determine the solution

we have

$y-2x \leq -3$

$y\leq2x-3$

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

case a) $(5,-3)$

Substitute the value of x and y in the inequality

$-3\leq2*5-3$

$-3\leq7$ -------> is true

The ordered pair $(5,-3)$ is a solution

case b) $(0,-2)$

Substitute the value of x and y in the inequality

$-2\leq2*0-3$

$-2\leq-3$ -------> is False

The ordered pair $(0,-2)$ is not a solution

case c) $(-6,-3)$

Substitute the value of x and y in the inequality

$-3\leq2*-6-3$

$-3\leq-15$ -------> is False

The ordered pair $(-6,-3)$ is not a solution

case d) $(1,-1)$

Substitute the value of x and y in the inequality

$-1\leq2*1-3$

$-1\leq-1$ -------> is True

The ordered pair $(1,-1)$ is a solution

case e) $(7,12)$

Substitute the value of x and y in the inequality

$12\leq2*7-3$

$12\leq11$ -------> is False

The ordered pair $(7,12)$ is not a solution

Verify

using a graphing tool

see the attached figure

the solution is the shaded area below the line

The points A and D lies on the shaded area, therefore the ordered pairs A and D are solution of the inequality

6 0

3 years ago

Read 2 more answers

A jacket's original price is 65.00. it is on sale for 40% off. you have to pay 5% sales tax. what is the final price for the jac

nekit [7.7K]

40% of 65.00=0.40×65=26
65-26=39(your price)

sales tax(5%)=0.05×39=1.95 tax

39+1.95
=40.95(total)

3 0

3 years ago

What is the point used in the equation of the line y+4=1/2(x-2)

Ket [755]

Answer:

What is the point used in the equation of the line y+4=1/2(x-2)

The other format for straight-line equations is called the "point-slope" form. For this one, they give you a point (x1, y1) and a slope m, and have you plug it into this formula:

y - y1 = m(x - x1)

Don't let the subscripts scare you. They are just intended to indicate the point they give you. You have the generic "x" and generic "y" that are always in your equation, and then you have the specific x and y from the point they gave you; the specific x and y are what is subscripted in the formula. Here's how you use the point-slope formula

They've given me m = 4, x1 = -1, and y1 = -6. I'll plug these values into the point-slope form, and solve for "y=":

y - y1 = m(x - x1)

y - (-6) = (4)(x - (-1))

y + 6 = 4(x + 1)

y + 6 = 4x + 4

y = 4x + 4 - 6

y = 4x - 2

8 0

3 years ago

How to graph 2y-10x=20

aksik [14]

First, put it into slope/intercept form so you can see what you've got.

"Slope/intercept form" is  y = everything else .

So that means you have to take the equation you have and "solve it for 'y' ".

2y - 10x = 20

Add 10x to each side: 2y = 10x + 20

Divide each side by 2 :  y = 5x + 10

There it is.
Now that you have it in that form, you can just look at it and see that the
slope of the line on the graph is 5, and the line crosses the y-axis at 10.

And that's exactly the information you need to graph it. On your graph,
mark a little dot on the y-axis at 10, and draw a line through that dot
with a slope of 5.

5 0

3 years ago