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bixtya [17]
2 years ago
10

33. The quadratic equation x² - 4x - 12 = 0 has w and z as

Mathematics
1 answer:
masya89 [10]2 years ago
6 0

Factor

what 2 numbers multily to get -12and add to get -4

-6and -2

(x-6)(x+2)=0

ser to zero

x-6=0

x=6

x+2=0

x=-2

6>-2

w=6

-2=z

3w+2z

3(6)+2(-2)

18-4

14

value is 14

option D

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What's the basic geometric term for the part of an angle where two rays begin and go in two different directions?
wlad13 [49]

<u>Answer </u>

B. Vertex


<u>Explanation</u>

A vertex is the meeting point of two rays or lines. It is also defined as the point where two or more edges meet. The rays begin and go in two different directions from the vertex.  

In geometry we can say that, it is where each angular point of a polygon, polyhedron, or other figure.

5 0
3 years ago
Sandy is upgrading her Internet service. Fast Internet charges $45 for installation and $49.45 per month.
butalik [34]

Answer:

x = 6 months.

The equation is given by $45 + ($49.45 × x) = ($56.95 × x).

Step-by-step explanation:

i) Let x be the number of months of Internet Service purchased till the Fast

  Internet charges and Quick Internet charges become the same.

ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)

iii) Charges for Quick Internet for x months is given by ($56.95 × x)

iv) According to the first statement we will now equate the equations in ii)  

   and iii) and solve for x.

   Therefore, $45 + ($49.45 × x) = ($56.95 × x)

                      45 + 49.45 x  =  56.95 x

  Therefore  (56.95 - 49.45) x = 45

                    7.50 × x  =  45

  Therefore x = 45 ÷  7.5 = 6

6 0
3 years ago
Find x(3x+72) triangle
Alinara [238K]

Answer: x = -4 ; Angle = 60°

Concept:

The given figure is a triangle with 3 arc signs on each angle. This <u>arc sign </u>stands for the corresponding angles are congruent, which in this question, it shows that all three angles are congruent. Sometimes, if the figure has multiple angles and there are different groupings of congruent angles, then we use different numbers of arcs or symbols.

Solve:

<u>Given information</u>

An angle = 3x + 72

Total measure of angles = 180 (triangle angle sum theorem)

Total number of congruent angles = 3

<u>Given expression</u>

Total measure = Total number of congruent angles × An angle measure

<u>Substitute values into the expression</u>

180 = 3 (3x + 72)

<u>Divide 3 on both sides</u>

180 / 3 = 3 (3x + 72) / 3

60 = 3x + 72

<u>Subtract 72 on both sides</u>

60 - 72 = 3x + 72 - 72

-12 = 3x

<u>Divide 3 on both sides</u>

-12 / 3 = 3x / 3

\boxed{x=-4}

<u />

<u>Find the angle measure</u>

3x + 72 = 3 (-4) + 72 = \boxed{60}

Hope this helps!! :)

Please let me know if you have any questions

6 0
2 years ago
Read 2 more answers
NEED HELP! ASAP PLEASE!
Doss [256]

Answer:

(0,-41)

Step-by-step explanation:

You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!

7 0
3 years ago
Describe the graph of the function y= square root of x-7+3
TiliK225 [7]

Answer:

Step-by-step explanation:

y=sqrt(x-7)+3 is a transformed from the parent function y=sqrt(x) by the following:

right 7 units

up 3 units

5 0
3 years ago
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