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3 years ago

What is the d value of the following arithmetic sequence? 5, 2, -1, -4, -7,…

2 answers:

6 0

The d value is going to be -3 because you have to compute the differences of all the adjacent terms. 2-5=-3 -1-2=-3 -4-(-1)=-3 -7-(-4)=-3 The difference between all the adjacent terms is the same and equal to -3

stiks02 [169]3 years ago

4 0

Common difference (d) = a(2) - a(1) = 2 - 5 = -3

In short, Your Answer would be -3

Hope this helps!

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The equation of the tangent to the curve x^2 = 4y at the point on the curve where x=-2 is?

aleksandrvk [35]

$x^2 = 4y \Rightarrow y= \frac{x^2}{4}$
$\frac{dy}{dx} = \frac{2x}{4} = \frac{x}{2}$

(x = -2) $\frac{dy}{dx} = \frac{x}{2} = \frac{-2}{2} = -1$
(x = -2) $y= \frac{x^2}{4}= \frac{(-2)^2}{4} = 1$

$y-y_1=m(x-x_1)$
$y-1 = -1(x--2)
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$y-1 = -1(x+2)$
$y-1 = -x-2$
$y=-x-1 = -(x+1)$

7 0

3 years ago

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Ruben adds some water to a glass of juice. The ratio of water to juice in his glass in now 4:6. Which fraction below represents

zimovet [89]

Answer:

Step-by-step explanation:

since we're being told to convert the ratio to fraction then it is C. note that 4 ratio is also the same as dividing 4 by 6

6 0

2 years ago

Answer ASAPPPP pls pls

xeze [42]

Answer:

60WPM

Step-by-step explanation:

120/2 = 60

4 0

2 years ago

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Please help me with this question

sergejj [24]

Answer:

49π

Step-by-step explanation:

Circle area: πr^2

Since A to C is 14, and they're both in the center, A to B and B to C will both be 7 as a radius.

Since we know the radius, we can put it in the formula, πr^2.

We only need to solve for one circle, since both circles are the same. By solving the circle, we will put in 7 for the radius, giving us π7^2, which is 49π.

5 0

2 years ago

If PQR = STU, find the measure of each part.

alina1380 [7]

The answer is below

Step-by-step explanation:

Two triangles are said to be congruent if for the two triangles all the three sides are equal and all the three angles are equal to each other.

Given that ΔPQR is congruent to ΔSTU, hence all corresponding sides and corresponding angles are equal to each other.

∠P = ∠S = 59°

∠S + ∠T + ∠U = 180° (sum of angles in a triangle)

59 + 75 + ∠U = 180°

134 + ∠U = 180°

∠U = 46°

∠U = ∠R = 46°

∠Q = ∠T = 75°

Also, for the sides:

ST = PQ = 7 m

SU = PR = 8 m

6 0

2 years ago