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kondor19780726 [428]
3 years ago
9

Use the functions h(x) = 2x - 5 and t(x) = 6x + 4 to complete the function operations listed below.

Mathematics
1 answer:
Rom4ik [11]3 years ago
3 0

Answer:

See below for answers (in bold) and explanations

Step-by-step explanation:

Part A: (h+t)(x) = h(x) + t(x) = (2x-5) + (6x+4) = 2x - 5 + 6x + 4 = 8x - 1

Part B: (h*t)(x) = h(x) * t(x) = (2x-5) * (6x+4) = (2x)(6x) + (2x)(4) + (-5)(6x) + (-5)(4) = 12x² + 8x - 30x - 20 = 12x² - 22x - 20

Part C: h(t(x)) = h(6x + 4) = 2(6x + 4) - 5 = 12x + 8 - 5 = 12x + 3

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For triangle xyz , the measures of angles x,y, and Z are known. Which method should be used to start solving triangle xyz?
Kisachek [45]

Neither the <u>laws of sines</u> nor the <u>law of cosines</u> can be used to solve the triangle. The correct option is the third option - neither law can be used

<h3>Solving trianngles using the laws of sines & cosines </h3>

The law of sines is written as

\frac{sinA}{a}=\frac{sinB}{b}= \frac{sinC}{c}

Where a,b, and c are sides of any given triangle and A,B, and C are the angles.

This law is used when we are given either

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The law of cosines is written as

a² = b² + c² -2bc cosA, or

b² = a² + c² - 2ac cosB, or

c² = a² + b² -2ab cosC

Where a,b, and c are sides of any given triangle and A,B, and C are the angles.

This law is used when we are given either

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Now, for triangle xyz, which the measures of angles X,Y, and Z are known, neither law can be used to solve the triangle.

Hence, neither the <u>laws of sines</u> nor the <u>law of cosines</u> can be used to solve the triangle. The correct option is the third option - neither law can be used

Learn more on Solving triangles using the laws of sines & cosines here: brainly.com/question/22339733

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2 years ago
On a sketch of a mural,3 inches represents one foot in the mural. A door in the sketch is 2 inches wide by 5 inches high. What i
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Answer:

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Width or Breadth of the door, <em>w</em> = 2 inches (<em>in</em>)

Perimeter                                   p = 2(l + w)

                                                   = 2( 5 + 2) <em>inches</em>

<em>                                                    = 2(5) inches + 2(4) inches</em>

                                                   = 10 <em>inches</em>  + 4 <em>inches</em>

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  Step-by-step explanation:

The perimeter of a plane shape is the measurement of the length of its outside boundary, which means the distance around its edges.

The door in the sketch is the shape of a rectangle. the distance around the edge of the door is the sum of all the sides. The longer side of a rectangle is called the length and it is usually represented by letter<em> l</em> while the shorter side is known as width or breadth represented by letter <em>w</em> and<em> b </em>respectively. The perimeter is calculated by the formula 2(l + w). where l means the length and w represents the width.

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the calorie cafe is known for their hotdogs and burgers. the number of calories in a burger is 220 more than the number of calor
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Answer:

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