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3 years ago

Which equation is represented by the graph?

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

7 0

Answer: D, using rise over run the graph goes up 1 over 3 and the graph crosses the y-axis at -4 put that in y=mx+b and you get y=1/3x+-4

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Finding Distance in the Coordinate Plane

GuDViN [60]

The distance between the two points (-1, 4) and (5, 4) is 6 units.

Step-by-step explanation:

The given Coordinate points are (-1, 4) and (5, 4).

The points are considered as (x1,y1) and (x2,y2).

Here,

x1 = -1 and x2 = 5

y1 = 4 and y2 = 4

The distance formula is given by :

Distance = $\sqrt{(x2-x1)^2+(y2-y1)^2}$

To find the distance between these two points :

The distance formula is used,

Distance = $\sqrt{(5+1)^2+(4-4)^2}$

⇒ √(6)²

⇒ √36

⇒ 6

Therefore, the between the points is 6 units.

5 0

3 years ago

Given right triangle QRS, what is the value of sin(30°)? StartFraction StartRoot 3 EndRoot Over 3 EndFraction One-half StartFrac

baherus [9]

Answer:

Option 2: $\sin(30)=\frac{1}{2}$

Step-by-step explanation:

Given:

From the triangle shown below;

A triangle QRS with angle QRS = 90°, ∠QSR = 30°.

Side QR = 5, SQ = 10 and RS = 5√3

Now, we know from trigonometric ratio that,

$\sin (A) = \frac{Opposite\ side}{Hypotenuse}$

Here, opposite side of angle QSR is QR and Hypotenuse is the side opposite angle QRS which is SQ. Therefore,

$\sin(\angle QSR)=\dfrac{QR}{SQ}\\\\\\\sin(30)=\dfrac{5}{10}\\\\\\\sin(30)=\dfrac{5}{2\times 5}=\dfrac{1}{2}$

Therefore, the value of sine of 30° is one-half. So, second option is correct.

6 0

3 years ago

Read 2 more answers

The formula for the volume of a sphere is. What is the formula solved for r?

nataly862011 [7]

Answer:

$r = \sqrt[3]{\dfrac{3V}{4 \pi}}$

Step-by-step explanation:

$V = \dfrac{4}{3}\pi r^3$

$\dfrac{4}{3}\pi r^3 = V$

$\pi r^3 = \dfrac{3V}{4}$

$r^3 = \dfrac{3V}{4 \pi}$

$r = \sqrt[3]{\dfrac{3V}{4 \pi}}$

3 0

3 years ago

Craig ran 4 days last week. His distances were

elixir [45]

6.875 average.

To calculate the average you add up all of the numbers and divide it by the number of numbers there are, in this case there are 4 numbers. So you add 3.25+6.5+7.25+10.5 and divide that by 4

8 0

2 years ago

I need help with number 13

nikklg [1K]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

We have the point (0, 5). Therefore b = 5.

We have: y = mx + 5

Other point (3, 2). Substitute the coordinates of the point to the equation of the line:

$2=3m+5$ subtract 5 from both sides

$-3=3m$ divide both sides by 3

$-1=m\to m=-1$

<h3>Answer: f(x) = -1x + 5 = -x + 5</h3>

3 0

3 years ago