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IrinaK [193]
3 years ago
7

Find the output, k, when the input, t, is -7−7minus, 7. k = 10t-19k=10t−19

Mathematics
1 answer:
sleet_krkn [62]3 years ago
7 0

The value of k is -89

Explanation:

The given expression is k=10t-19

We need to determine the output k, when the input t is -7

<u>Output k:</u>

The value of the output k can be determined by substituting the input t=-7 in the expression k=10t-19

Thus, we have,

k=10(-7)-19

Multiplying the terms 10 and -7, we have,

k=-70-19

Simplifying, we get,

k=-89

Thus, the value of k is -89

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Given: m∠V=103°, m∠VRT=71°, RS ∥ VU Find: m∠TRS, m∠U
lawyer [7]

Answer:

m∠U = 103° and m∠TRS = 6°

Step-by-step explanation:

In the given circle O,

Since, RS║VU, and VR is a transverse,

Therefor, m∠V + m∠R = 180° [Consecutive interior angles]

m∠R + 103° = 180° [m∠R = 103° given]

m∠R = 180° - 103°

m∠R = 77°

Since m∠R = m∠VRT + m∠TRS

77° = 71° + m∠TRS

m∠TRS = 77° - 71° = 6°

Quadrilateral RTUV is a cyclic quadrilateral.

Therefore, m∠U + m∠R = 180°

m∠U + 77° = 180°

m∠U = 180° - 77° = 103°

5 0
3 years ago
The temperature at 12:00 p.m. was 8°C. At 7:00 p.m., the temperature was -6°C. What was the change in temperature (in degrees Ce
Alik [6]

Answer: 14-degree decrease

Step-by-step explanation:

because it is getting colder and we know this because anytime temperature goes from positive to negative it becomes mad cold.

Anyways subtracting 14 from our initial temp at 8 degrees celsius brings us to a brisk -6 celsius

5 0
3 years ago
The endpoints of EF<br> are E(1,3) and F(-2,8).<br> Find EF.
Phantasy [73]

Answer:

EF = \sqrt{34} ≈ 5.83

Step-by-step explanation:

Calculate EF using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = E(1, 3) and (x₂, y₂ ) = F(- 2, 8)

EF = \sqrt{(-2-1)^2+(8-3)^2}

    = \sqrt{(-3)^2+5^2}

    = \sqrt{9+25}

    = \sqrt{34} ≈ 5.83 ( to 2 dec. places )

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