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maria [59]
3 years ago
9

What is the mid point of a and b

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
4 0

(a+b)/2

Step-by-step explanation:

if a and b are the two end points of a straight line

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The corret anwser is actually going to be false! Your math teacher is wrong!
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3 years ago
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Help on this please
eimsori [14]

Answer:

Opening: Opens upwards

Axis of Symmetry: -7/2

Vertex: (-7/2, -81/4)

X - intercepts: (1, 0) and (-8, 0)

Y - intercept: (0, -8)

Step-by-step explanation:

Opening: 'a' is greater than zero

Axis of Symmetry:

\frac{-7}{2(1)} =\frac{-7}{2}

Vertex:

y= (\frac{-7}{2})^{2} +7(\frac{-7}{2}) -8\\y= (\frac{49}{4}) +(\frac{-49}{2}) -8\\y= \frac{49}{4} +\frac{-98}{4} -8\\y=\frac{-49}{4}-8\\y = \frac{-81}{4}

X - intercepts:

(x-1)(x+8)

x = 1 and x = -8

Y - intercept: (0, -8)

y= 0^{2} +7(0) -8\\\\y= -8\\

5 0
3 years ago
The aspect ratio of a TV screen is the ratio of the horizontal length to the vertical height. If the TV has a diagonal of 100 cm
Sati [7]

Answer:

The horizontal length is 80 cm, and the vertical height is 60 cm.

Step-by-step explanation:

The aspect ratio is the ratio of the horizontal length to the vertical height.

We have a rectangle with sides 4 and 3. We can find the length of the diagonal.

We can use the Pythagorean theorem to find the length of the diagonal.

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

c^2 = 25

c = 5

The diagonal is 5 in the ratio.

The ratio of the horizontal length to the vertical height to the diagonal is

4:3:5

We multiply all the numbers in the ratio by the same unknown, x.

A ratio of 4:3:5 is the same as a ratio of 4x:3x:5x.

We are told that the diagonal is 100 cm, so we have

4x : 3x : 100,

but we already had a ratio of

4x : 3x : 5x, so

5x = 100, and we can find x.

5x = 100

Divide both sides by 5.

x = 20

Since x = 20, then the horizontal length 4x = 4(20) = 80,

and the vertical height 3x = 3(20) = 60

Answer: The horizontal length is 80 cm, and the vertical height is 60 cm.

3 0
3 years ago
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Pru, Piper, and Phoebe share apples in the ratio 5:3:4. If Pru has 24 more apples than Piper, how many apples does Phoebe have?
Bezzdna [24]

Answer: Phoebe have 48 apples.

Explanation:

It is given that Pru, Piper, and Phoebe share apples in the ratio 5:3:4. If Pru has 24 more apples than Piper.

Let the total number of apples be x.

The sum of the ratios is,

Sum=5+3+4=12

Therefore the number of apples shared by Pru, Piper, Phoebe are \frac{5}{12}x, \frac{3}{12}x,\frac{4}{12}x respectively.

It is given that Pru has 24 more apples than Piper, so

\frac{5}{12}x-\frac{3}{12}x=24

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\frac{2}{12}x=24

\frac{1}{6}x=24

x=144

Since phoebe have \frac{4}{12}x appels,

\frac{4}{12}x=\frac{4}{12}\times 144=48

Therefore, Phoebe have 48 apples.

8 0
3 years ago
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Solve -4t + 5 > 3t − 9 for t.
Temka [501]

Answer:

t<2

Step-by-step explanation:

5 0
3 years ago
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