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3 years ago

The sum of 2 consecutive integers is -33.If n is the first integer,which equation best models the situation?

Mathematics

1 answer:

monitta3 years ago

5 0

Answer:

You can choose which equation below suits your taste but I recommend the 2n + 1 = -33.

Step-by-step explanation:

$(n) + (n + 1) = - 33 \\ 2n + 1 = - 33 \\ 2n = - 32 \\ n = - 16$

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Answer if u love cats & dogs

eimsori [14]

Answer:

(7, 5.25) lies on the graph.

Step-by-step explanation:

We are given the following values

x = 4, 6, 8, 12 and corresponding y values are:

y = 3, 4.5, 6, 9

Let us consider two points (4, 6) and (6, 4.5) and try to find out the equation of line.

Equation of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given as:

$y=mx+c$

where m is the slope.

(x,y) are the coordinates from where the line passes.

c is the y intercept.

Here,

$x_{1} = 4\\x_{2} = 6\\y_{1} = 3\\y_{2} = 4.5$

Formula for slope is:

$m = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m = \dfrac{4.5-3}{6-4}\\\Rightarrow m = \dfrac{1.5}{2}\\\Rightarrow m = \dfrac{3}{4}$

Now, the equation of line becomes:

$y=\dfrac{3}{4}x+c$

Putting the point (4,3) in the above equation to find c:

$3=\dfrac{3}{4}\times 4+c\\\Rightarrow 3=3+c\\\Rightarrow c =0$

So, final equation of given function is:

$y=\dfrac{3}{4}x$

$4y=3x$

As per the given options, the point (7, 5.25) satisfies the equation.

So correct answer is $(7, 5.25)$ .

6 0

3 years ago

The team is 52 yards away from a touchdown. Steve ran the football 26 yards toward the end zone, but on the next play Keith was

castortr0y [4]

Answer:

34 yards

Step-by-step explanation:

52 - 26 + 8

26 + 8

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3 years ago

Find the length of the hypotenuse.

mario62 [17]

Answer:

8 times the square root of 2

Step-by-step explanation:

Look up the 45-45-90 triangle

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3 years ago

An arc of length 15ft subtends a central angle 0 in a circle of radios 9ft. Find measure of 0 in degrees

Kisachek [45]

Answer:

95.49°

Step-by-step explanation:

The arc length formula is s = rФ, where r is the radius and Ф is the central angle in radians. Here, r = 9 ft and s = 15 ft. Thus, the central angle Ф is

Ф = (15 ft) / (9 ft) = 5/3 radians, or

5 rad 180°

------- * ---------- = 95.49°

3 π rad

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4 years ago

an everyday meaning of corresponding is "matching". How can this help you find the corresponding parts of two triangles?

Marta_Voda [28]

Look at the sides of the triangles. find the sides that are corresponding, or matching.

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3 years ago