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3 years ago

Emma drank 1/4 of a milk shake in 1/12 of a minute. How many minutes will it take her to drink a full milk shake?

Mathematics

1 answer:

zaharov [31]3 years ago

3 0

i think it would take about three minutes

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Cual es la ecuación de la recta vertical que pasa por (2,3)?

NeTakaya

Answer:

Step-by-step explanation:

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3 years ago

Is 4x positive or negative?

Nikolay [14]

Answer:

if x is positive, the answer is positive. If x is negative, the answer is negative.

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3 years ago

In rectangle MNOP, MO = 4x - 10 and NP = 2x + 4.<br> What is the length of a diagonal?

slega [8]

Answer:

Step-by-step explanation:

From the rectangle, M O = NP

4x - 10 = 2x+4

4x-2x = 4 + 10

2x = 14

x = 14/2

x = 7

SInce MO and NP are the diagonal

Length of diagonal = 4x- 10

Length of diagonal = 4(7) - 10

Length of diagonal = 28 - 10

Length of diagonal = 18

hence the required length is 18

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3 years ago

A car initially traveling at 20 kilometers per hour takes 10 seconds to speed up to 70 km/hour. At what rate is it changing spee

Snezhnost [94]

Initial velocity=u=20km/h
Final velocity=v=70km/h
Time=10s=t

Convert speeds to m/s

$\\ \rm\longmapsto u=20\times\dfrac{5}{18}=5.05m/s$

$\\ \rm\longmapsto v=70\times \dfrac{5}{18}=19.4m/s$

$\boxed{\sf Acceleration=\dfrac{v-u}{t}}$

$\\ \rm\longmapsto Acceleration=\dfrac{19.4-5.05}{10}$

$\\ \rm\longmapsto Acceleration=\dfrac{14.3}{10}$

$\\ \rm\longmapsto Acceleration=143m/s^2$

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2 years ago

Choose the graphic representation of the quadratic function f(x) = x2 – 8x + 24.

larisa86 [58]

Refer the attached figure for the graphic representation of the given quadratic equation.

<u>Step-by-step explanation:</u>

Given expression:

$f(x)=x^{2}-8 x+24$

To find:

The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

The standard form of the equation is

$y=a x^{2}+b x+c$

When comparing with given quadratic equation,

a = 1, b = - 8, c = 24

Axis of symmetry is $x=\frac{-b}{2 a}$

By applying the values, the axis of symmetry of given equation is

$x=\frac{-(-8)}{2(1)}=4$

The vertex form of quadratic equation is $f(x)=a(x-h)^{2}+k$

Where, (h,k) are the vertex.

Convert the quadratic equation into vertex form.

By completing the square,

$f(x)=x^{2}-8 x+24$

$f(x)=\left(x^{2}-2(4) x+4^{2}\right)-4^{2}+24$

$f(x)=(x-4)^{2}+8$

On comparison,

(h , k) = (4 , 8)

Now, plot the equation with vertex (4,8) [refer attached figure].

4 0

3 years ago