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2 years ago

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The graph represents a functional relationship. On a coordinate plane, a straight line with a negative slope begins at point (1,

3), crosses the x-axis at (4, 0), and exits the plane at (18, negative 14). Which value is an input of the function? A) –14 B) –2 C) 0 D) 4

1 answer:

Zepler [3.9K]2 years ago

7 0

Letra A) bons estudos

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This is a map of three towns. It shows the train line and the highway that connects the towns. The north direction is shown. The

vlada-n [284]

Answer:

about 106 km

Step-by-step explanation:

The distance between the two towns can be estimated several ways. In the attachment, we chose to measure the angles on the map. Using the law of sines, we can estimate the unknown distance.

The distance can also be estimated using the Tounouse-Avaria distance as a ruler. For best results, that ruler would need to be subdivided to an appropriate level.

__

<h3>angle measures</h3>

The angles in the triangle can be measured using a protractor or some other tool. The attachment shows the results from a geometry program:

∠TMA ≈ 107°
∠TAM ≈ 24°

<h3>law of sines</h3>

The law of sines tells us the distances are proportional to the sines of the opposite angles:

TM/sin(TAM) = TA/sin(TMA)

TM = sin(24°)×(250 km)/sin(107°) ≈ 106.3 km

The distance from Tounouse to Mt. Monotti is estimated to be about 106 km.

__

<em>Alternate solution</em>

Using a compass or dividers to project the TM distance onto TA, we find it is between 0.4 and 0.5 of the TA distance. The difference between 2×TM and TA can be estimated to be about 0.4×TM. That is, ...

TM ≈ TA/2.4 ≈ (250 km)/2.4 ≈ 104.2 km

This estimate is consistent with the one found using angle measures.

4 0

1 year ago

What is the value of the expression 5x2 + 2x when x = 5?

masha68 [24]

Answer:

135

Step-by-step explanation:

Given:

$x = 5$

To determine a numerical value for the expression, simply substitute the value of "x" into the expression and simplify the expression, if necessary, to determine a specific number for the expression provided.

$\implies 5x^{2} + 2x$

$\implies 5(5)^{2} + 2(5) \longrightarrow \longrightarrow \longrightarrow (x = 5)$

$\implies 5(5)(5) + 2(5)$

$\implies 125 + 10$

$\implies 135$

Therefore, the value of the expression $5x^{2} + 2x$ when x = 5 is 135.

Learn more about this topic: brainly.com/question/27675691

7 0

1 year ago

last night, julie's pet hamster zoe kept julie awake for at least an hour running on her exercise wheel and scratching at the co

borishaifa [10]

Answer: $x+y\geq 1$ , $x>\frac{1}{4}$ , $x\geq 2y$ and $y\geq 0$

Step-by-step explanation:

Here, x represents the number of hours Zoe spent running on her wheel and y represents the number of hours spent scratching her cage.

Julie was awoke for at least an hour running on her exercise wheel and scratching the of her cage.

⇒ $x+y\geq 1$

She ran on her wheel at least twice as long as she scratched at the corners of her cage.

⇒ $x\geq 2y$

Also, She spent more than 1/4 hour running on her wheel.

⇒ $x>\frac{1}{4}$

And, we know that number of hours can not be negative.

⇒ $y\geq 0$

Therefore, the complete system of inequality which shows the given situation is,

$x+y\geq 1$ , $x>\frac{1}{4}$ and $x\geq 2y$ , $y\geq 0$

Note: the feasible region ( covered by the given system) is shown in the below graph.

6 0

2 years ago

When you have a number with the exponent of ½, you should?

jeka94

1/2 as an exponent means, square root of the number, so when you have a number with the exponent of 1/2, you should find the square root of the number

In short, Your Answer would be Option D

Hope this helps!

7 0

2 years ago

PLS ANSWER THIS I ONLY HAVE 18 MIN!!!! ANSWER CORRECT AND ILL GIVE BRAINLIEST

Nookie1986 [14]

30ft2.

i think i’m not sure

3 0

2 years ago