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3 years ago

What is the intercept of 4x+y=7

Mathematics

1 answer:

Alexxandr [17]3 years ago

3 0

Answer:

y-int: 7

Step-by-step explanation:

the y intercept of an equation is the "b" in, y=mx+b

For this problem you have to convert the current equation to y=mx+b form

4x+y=7

-4x -4x

y= -4x +7

7 is your b, which is your y intercept

if you have any questions, don't hesitate to ask :)

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Helpppppppppppp!!!!!!

Ipatiy [6.2K]

Answer:

1- (-1,4)

2- (3,8)

Step-by-step explanation:

PRETTY SURE

8 0

3 years ago

Could someone please help me:) I am stick and I am not sure what to do

Delicious77 [7]

Answer:

Part 5.1.1:

$\displaystyle \cos 2A = \frac{7}{8}$

Part 5.1.2:

$\displaystyle \cos A = \frac{\sqrt{15}}{4}$

Step-by-step explanation:

We are given that:

$\displaystyle \sin 2A = \frac{\sqrt{15}}{8}$

Part 5.1.1

Recall that:

$\displaystyle \sin^2 \theta + \cos^2 \theta = 1$

Let θ = 2A. Hence:

$\displaystyle \sin ^2 2A + \cos ^2 2A = 1$

Square the original equation:

$\displaystyle \sin^2 2A = \frac{15}{64}$

Hence:

$\displaystyle \left(\frac{15}{64}\right) + \cos ^2 2A = 1$

Subtract:

$\displaystyle \cos ^2 2A = \frac{49}{64}$

Take the square root of both sides:

$\displaystyle \cos 2A = \pm\sqrt{\frac{49}{64}}$

Since 0° ≤ 2A ≤ 90°, cos(2A) must be positive. Hence:

$\displaystyle \cos 2A = \frac{7}{8}$

Part 5.1.2

Recall that:

$\displaystyle \begin{aligned} \cos 2\theta &= \cos^2 \theta - \sin^2 \theta \\ &= 1- 2\sin^2\theta \\ &= 2\cos^2\theta - 1\end{aligned}$

We can use the third form. Substitute:

$\displaystyle \left(\frac{7}{8}\right) = 2\cos^2 A - 1$

Solve for cosine:

$\displaystyle \begin{aligned} \frac{15}{8} &= 2\cos^2 A\\ \\ \cos^2 A &= \frac{15}{16} \\ \\ \cos A& = \pm\sqrt{\frac{15}{16}} \\ \\ \Rightarrow \cos A &= \frac{\sqrt{15}}{4}\end{aligned}$

In conclusion:

$\displaystyle \cos A = \frac{\sqrt{15}}{4}$

(Note that since 0° ≤ 2A ≤ 90°, 0° ≤ A ≤ 45°. Hence, cos(A) must be positive.)

4 0

3 years ago

Sebastian observed the number of minutes his dormmates spent on social media sites while they were at the library. He reported h

goblinko [34]

i think its 8, not sure but hope it helps.

5 0

4 years ago

Read 2 more answers

M.ng giúp mình về phần vector trong ma trận nha

Lera25 [3.4K]

Answer:

maybe if u translate it in English

Step-by-step explanation:

it wouldv been helpful if u mind?

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3 years ago

A cylinder is 20 inches long and has a diameter of 10 inches the approximate volume of the cylinder is_____ cubic centimeters

Lesechka [4]

Answer: 3987.8cm³

Step-by-step explanation:

Volume of a cylinder = πr²h

where

π = 3.14

r = diameter / 2 = 10in/2 = 5inches

h = height = 20in

Volume = πr²h

= 3.14 × 5² × 20

= 3.14 × 25 × 20

= 1570inches³

Since 1 inch = 2.54cm

1570 inch = (1570 × 2.54) = 3987.8cm³

Therefore, the volume of the cylinder is

3987.8cm³ cubic centimeters.

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3 years ago