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3 years ago

A line passes through the point of (4,2) and has a slope of -5/4

Mathematics

1 answer:

Akimi4 [234]3 years ago

7 0

Answer:

y = -5/4x + 7

Step-by-step explanation:

y = -5/4x + b

2 = -5/4(4) + b

2 = -5 + b

7 = b

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How many times will 11/12 of a gallon of milk fill a vessel holding 1/5 of 4/5 of a gallon?

RideAnS [48]

Every time, Because the 11/12 gallon is larger then both the vessel and the other gallon.

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4 years ago

Prove: If a chord of a circle makes an angle of 30° with a diameter, prove that the distance from the center to the chord is one

Svet_ta [14]

Answer:

See explanation.

Step-by-step explanation:

Let BC be the diameter of the circle with center at point O, AB be the chord and ∠ABC=30°. OD is the distance from the center to the chord.

Consider triangle BDO. This triangle is special 30°-60°-90° right triangle. The leg OD is opposite to the angle of 30° and is half of the hypotenuse. The hypotenuse of the triangle BDO is BO. BO is the radius of the circle and is equal to half of the diameter AB. Thus,

$OD=\dfrac{1}{2}BO=\dfrac{1}{2}\cdot \dfrac{1}{2}AB=\dfrac{1}{4}AB.$

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3 years ago

May anyone help?? i didnt score correct also can someone please correct me

kotegsom [21]

$\longrightarrow f( \rm x) = (x - 4)(x + 4)$

$\\ \\$

$\longrightarrow f( \rm x) = {(x)}^{2} - {(4)}^{2}$

$\\ \\$

$\longrightarrow f( \rm x) = {x}^{2} - 16$

Formula used = (a + b) (a - b) = a² - b²

7 0

2 years ago

sue stacked one box onto another. the bottom had the height of 2 1/3 feet and the top box had the height of 3 2/3 feet. how tall

Scilla [17]

Height of bottom box : - $2 \frac{1}{3} => 7/3$
Height of top box : - $3 \frac{2}{3} => 11/3$

Thus, height of two boxes =

$\frac{7}{3} + \frac{11}{3} = \frac{18}{3} => 6ft$

Happy to help chodini!

3 0

3 years ago

Read 2 more answers

Which of the following quartic functions has x= -1 and x = -3 as its only two real zeros

Komok [63]

Answer:

f(x) = x² + 4x + 3

Step-by-step explanation:

Here in this problem, we have to find the quadratic function that has x = - 1 and x = - 3 as the only two real zeros.

So, from the above condition, we can say that (x + 1) and (x + 3) are the only two factors of the function.

Therefore, the function will be f(x) = (x + 1)(x + 3), such that if the function is zero, then the solutions will be x = - 1 and x = - 3.

Hence, f(x) = x² + 4x + 3 (Answer)

7 0

3 years ago