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3 years ago

What is an expression equivalent to 7(c-4)

Mathematics

1 answer:

Lemur [1.5K]3 years ago

7 0

Answer:

7c - 28

Step-by-step explanation:

7(c - 4)

(7 × c) + (7 × - 4)

7c + (7 × - 4)

7c + -28

7c - 28

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Ms. cooper drove 18 miles in 1/3 hour what is her speed in miles per hour?

podryga [215]

I think it's 54 miles per hour.

Because 18*3=54

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4 years ago

Rami mixed salt with pepper to make 1/8 pound of a seasoning mixture. Rami then put an equal amount of this seasoning mixture in

den301095 [7]

Answer:
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Step-by-step explanation:
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2 years ago

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Write an equation of an ellipse in standard form with the center at the origin and a height of 12 units and width of 19 units.

gladu [14]

Answer:

The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

Step-by-step explanation:

* Lets revise the equation of the ellipse

- The standard form of the equation of an ellipse with center (0 , 0 )

and major axis parallel to the x-axis is x²/a² + y²/b² = 1

# a > b

- The length of the major axis is 2a

- The coordinates of the vertices are ( ± a , 0 )

- The length of the minor axis is 2b

- The coordinates of the co-vertices are ( 0 , ± b )

- The coordinates of the foci are ( ± c , 0 ) , where c ² = a ² − b²

* Lets solve the problem

∵ The center of the ellipse is (0 ,0)

∵ Its width is 19 units

∴ The length of the major axis is = 19

∴ 2a = 19 ⇒ divide both sides by 2

∴ a = 19/2 ⇒ ∴ a² = 361/4

∵ Its height is 12 units

∴ The length of the minor axis is = 12

∴ 2b = 12 ⇒ divide both sides by 2

∴ b = 12/2 = 6 ⇒ ∴ b² = 36

- Lets write the equation in standard form

∵ The equation is x²/a² + y²/b² = 1

∴ x²/(361/4) + y²/36 = 1 ⇒ simplify it

∴ 4x²/361 + y²/36 = 1

* The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

7 0

4 years ago

I don’t understand how this question

Vladimir79 [104]

Answer:

x = √51

Step-by-step explanation:

The given figure is a right triangle.

Using the Pythagorean Theorem to find x

(Altitude 1)² + (Altitude 2)² = (Hypotenuse)²
(7)² + x² = (10)²
49 + x² = 100
x² = 51
x = √51

4 0

2 years ago

Write a quadratic function in standard form with zeros 1 and -10

Licemer1 [7]

Answer:

f(x)=x^2+9x-10

Step-by-step explanation:

Standard Form of Quadratic Function

The standard form of a quadratic function is:

$f(x)=ax^2+bx+c$

where a,b, and c are constants.

The factored form of a quadratic equation is:

$f(x)=a(x-\alpha)(x-\beta)$

Where $\alpha$ and $\beta$ are the roots or zeros of f, and a is constant.

We know the zeros of the function are 1 and -10. The function is:

$f(x)=a(x-1)(x-(-10))$

$f(x)=a(x-1)(x+10)$

Operating:

$f(x)=a(x^2+10x-x-10)$

Joining like terms:

$f(x)=a(x^2+9x-10)$

Since we are not given any more restrictions, we can choose the value of a=1, thus. the required function is:

$\boxed{f(x)=x^2+9x-10}$

6 0

3 years ago