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enyata [817]
3 years ago
11

This table gives a few (x,y) pairs of a line in the coordinate plane.

Mathematics
1 answer:
Butoxors [25]3 years ago
5 0

Answer:

The x-intercept of the line will be (10, 0)

Step-by-step explanation:

start from -12

get to -2...

-12 + (10) = -2

-2 + (10) = 8

therefore, the x-intercept is (10, 0)

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PLEASE HELP - WILL MARK BRAINLIEST
anastassius [24]

Answer:

x=8

x=3

Step-by-step explanation:

f(x) = −4(x − 8)² + 3

h(x)= -(x-3)² + 2

  • <em>The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.</em>

f(x) = −4(x − 8)² + 3

for the first function, the vertex is:

  • x-8=0 ⇒ x= 8, this is the axis of symmetry

h(x)= -(x-3)² + 2

for the second function, the vertex is:

  • x-3= 0 ⇒ x=3, this is the axis of symmetry, it is also visible on the graph

4 0
3 years ago
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Samuel orders four DVDs from an online music store. Each DVD costs $9.99 He has 20% discount code, and sales tax is 6.75% What i
777dan777 [17]

Answer:

$47.95

Step-by-step explanation:

$9.99 x 4 = $39.96 x 0.20 = $7.99

$39.96 + $7.99 = $47.95

8 0
3 years ago
Can someone please help me simplify the product using foil <br> (3x-4)(6x-2)
Likurg_2 [28]
Inner -24x.
 last -4 and -2 = 8 .

So the answer is: 18x^2-30x+8.
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4 years ago
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In parallelogram ABCD, base AD is 15 and side AB is 8. What are the height and area of paralelogram ABCD if mDAB is 20?
Goshia [24]

Step-by-step explanation:

✰ \underline{ \underline{ \large{ \tt{G\: I \: V \: E \: N}}}} :

  • AD = 15 , AB = 8 , \angle DAB

✰ \underline{ \underline{ \large{ \tt{T \: O \: \: F\: I \: N \: D}}}} :

  • Height & Area of the given parallelogram

✰ \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I\: O \: N}}}} :

In right angled triangle ABE :

  • Hypotenuse ( h ) = 8
  • Perpendicular ( p ) = h [ height ]
  • \theta = 20°

Now , Using trigonometric ratio :

\large{ \tt{Sin \theta \:  = \:  \frac{Perpendicular}{Hypotenuse}  }}

Plug the known values :

⟶ \large{ \tt{ Sin(20)  =  \frac{h}{8} }}

⟶ \large{ \tt{0.34 =  \frac{h}{8}}}

⟶ \large{ \tt{h = 0.34 \times 8}}

⟶ \large{ \tt{h = 2.72}}

Now , We have :

  • Base ( b ) = 15
  • Height ( h ) = 2.72

Finding the area of a parallelogram whose base and height are 15 and 2.72 respectively :

❀ \underline{ \underline{ \text{Area \: of \: parallelogram =  \tt{b   *\:  h}}}}

⟶ \large{ \tt{A = 15  *2.72}}

⟶ \large{ \tt{A = 40.8 \:  {units}^{2} }}

Hence , Our final answer :

\large{ \boxed{ \sf{Height \: ( \: h \: ) = 2.72 \: units}}}

\large{ \boxed{ \sf{Area \: of \: parallelogram \: ( \:A \: ) = \: 40.8 \:  {units}^{2} }}}

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# \underbrace{ \tt{Carry \: On \: Learning}} !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

3 0
3 years ago
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julia-pushkina [17]

Answer:

1. Josh's father: f  Josh: f/2 - 2

2. f + (f/2 - 2) ≥ 49

3. 3/2 f - 2 ≥ 49

   3/2 f ≥ 51

   3f ≥ 102

   f ≥ 34

4. 34

6 0
3 years ago
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