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2 years ago

0.09X+4=4.9 I need to solve the unknown

Mathematics

1 answer:

saul85 [17]2 years ago

5 0

Answer:

the answer should be x=10

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Given: MzQVR = 49°

faust18 [17]

Answer:

4. Vertical angles theorem

6. 3x + 4 =49

Step-by-step explanation:

3 0

2 years ago

Find the roots of h(t) = (139kt)^2 − 69t + 80

Sonbull [250]

Answer:

The positive value of $k$ will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let $h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ , roots are those values of $t$ so that $h(t) = 0$ . That is:

$19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0$ (1)

Roots are determined analytically by the Quadratic Formula:

$t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}$

$t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$

The smaller root is $t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ , and the larger root is $t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ .

$h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ has one real root when $\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0$ . Then, we solve the discriminant for $k$ :

$\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}$

$k \approx \pm 0.028$

The positive value of $k$ will result in exactly one real root is approximately 0.028.

7 0

2 years ago

The graph shows how the length of a buildings shadow at a certain time of day is related to the height of the building.

Artyom0805 [142]

A. the graph represents a relation because it contains ordered pairs (x,y). It is also a function because there are no repeating x values.

B. (0,0) (8,6)
slope = (6 - 0 ) / (8 - 0) = 6/8 = 3/4
so ur equation is : y = 3/4x or f(x) = 3/4x <===

C. the variable x represents the height of the building and the variable y (or f(x)) represents the total length of the shadow

3 0

2 years ago

Read 2 more answers

The perimeter of a rectangular table is 8 m.

ipn [44]

Answer:

The side lengths are 1.5m and 2.5m.

Step-by-step explanation:

8 0

2 years ago

Find the coordinates of point P that lies along the directed line segment AB in a 2:3 ratio given A (-2, 1), B (3, 4).

saul85 [17]