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valentinak56 [21]
3 years ago
5

In the coronet plane, what is the length of the line segment that connects points at (5, 4) and (-3, -1)? Enter your answer in t

he box. Round to the nearest hundredth. ___units
Mathematics
1 answer:
lozanna [386]3 years ago
4 0

Answer:

<h2>9.43</h2>

Step-by-step explanation:

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have the points (5, 4) and (-3, -1). Substitute:

d=\sqrt{(-3-5)^2+(-1-4)^2}=\sqrt{(-8)^2+(-5)^2}=\sqrt{64+25}=\sqrt{89}\approx9.43

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If 8x – 4 = 6x – 10, find the value of 3x.
zmey [24]

Answer:

-9

Step-by-step explanation:

8x-4=6x-10

2x-4=-10

2x=-6

x=-3

-3x3= -9

6 0
2 years ago
Helpo pleasssse
Tcecarenko [31]

Answer: The range is  \{y \in \mathbb{R}\ | \ y \le -6\}

Explanation:

The parabola opens down, forming a "frowny face" in a way (just without the eyes). Or you can think of it as a hill or mountain. This means that the vertex (-3,-6) is at the top of that mountain. It's the highest point of that parabola.

The range is the set of all possible y values. We see that y = -6 is the largest it can get. So y = -6 or y is smaller than this. We would then write y \le -6 to describe all the possible y values.

Therefore, the range is \{y \in \mathbb{R}\ | \ y \le -6\}

This translates to "y is a real number such that y is -6 or smaller".

So the second answer you wrote is close, but you forgot the "or equal to" portion of the inequality sign.

See below for a visual example of what's going on.

5 0
2 years ago
I WILL MARK BRAINLIEST
Ber [7]

Answer:

N is (8,5)

Step-by-step explanation:

Find the difference between M, and A, then add it to the M coordinates

The difference between M (x) and A (x) is 3, so you have to add 3 to M's x coordinate to get the N's x coordinate.

Do the same for the y coords and you will get (8,5)

5 0
2 years ago
Triangle ABC , m∠A=45° and c = 16, find b.
zmey [24]

Using the cosine function:

\begin{gathered} \cos (\theta)=\frac{_{\text{ }}adjacent}{_{\text{ }}hypotenuse} \\ so\colon \\ \cos (45)=\frac{b}{16} \end{gathered}

Solve for b:

\begin{gathered} b=16\cdot\cos (45) \\ b=8\sqrt[]{2} \end{gathered}

5 0
1 year ago
AD←→ is tangent to circle M at point D. The measure of ∠DMQ is 58º.
Marat540 [252]

Answer:

32°

Step-by-step explanation:

Given:

∠DMQ = 58º

In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°

Therefore, ∠MDQ = 90°

The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:

180 = ∠DMQ + ∠MDQ + ∠DQM

Solving for ∠DQM, we have:

∠DQM = 180 - ∠DMQ - ∠MDQ

∠DQM = 180 - 90 - 58

∠DQM = 32°

The measure of ∠DQM is 32°

6 0
3 years ago
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