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3 years ago

Is (1, 4) a solution to the equation y = 7x?

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

8 0

Answer:

not a solution

Step-by-step explanation:

Substitute the point into the equation and see if it is true

y = 7x

4 = 7*1

4 = 7

This is not true so it is not a solution

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20 |10| 30

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3 years ago

Steph took out a simple interest loan that charges 8.5% interest annually. If her original loan amount was for $30,000 and she i

vazorg [7]

Answer:

$81,000

Step-by-step explanation:

A = Final Payment = ?

P = Principal Amount = $30,000

r = Interest Rate = 8.5%

t = Time = 20 Years

A = P(1 + rt)

A = 30,000(1 + 0.085 x 20)

A = 30,000 + 51000

A = $81,000

Hence, Steph will pay $81,000 altogether.

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3 years ago

3 geometry questions, 30 points!

polet [3.4K]

Answer:

A ) The value of x for the given circle with chords and center is 8.3

B) The circumference of circle with chords 1.2 cm and 0.5 cm is 4.082

Step-by-step explanation:

Given two figures :

<u>For Figure first </u>

A circle with center y , having two chords FM and NM

FM = 5 x

MN = 2 x + 25

Now from theorem of circle ,

Chords equidistant from center of circle are equal in length

I.e distance of chord MN from center y and distance of FM from center y are equal

So, FM = MN

Or, 5 x = 2 x + 25

Or, 5 x - 2 x = 25

Or, 3 x = 25

∴ x = $\frac{25}{3}$ = 8.33

<u>For figure second</u>

The length of two adjacent chords of circle is 1.2 cm and 0.5 cm

Let the center of circle = O

Length of chord AB = 1.2 cm

Length of chord BC = 0.5 cm

As both chords are at 90° to each other

So The Length of diameter of circle AC = $\sqrt{AB^{2}+BC^{2}}$

Or, The Length of diameter of circle AC = $\sqrt{1.2^{2}+0.5^{2}}$

Or, The Length of diameter of circle AC = $\sqrt{1.44+0.25}}$

Or, The Length of diameter of circle AC = $\sqrt{1.69}$

∴ The Length of diameter of circle AC = 1.3 cm

So, Circumference of circle = $\pi d$

Or, Circumference of circle = 3.14 × 1.3

∴ Circumference of circle = 4.082 cm

Hence,

A ) The value of x for the given circle with chords and center is 8.3

B) The circumference of circle with chords 1.2 cm and 0.5 cm is 4.082 Answer

8 0

3 years ago

Read 2 more answers

Each student wrote a two-step equation. Peter wrote the equation 4x-2=10, and Andres wrote the equation 16x-8=40. The teacher lo

natima [27]

Both variables (x) are 3.

4×3=12
12-2=10

16×3=48
48-8=40

3 fits the variable of the missing number.

8 0

3 years ago

Age If you add Natalie's age and Fred's age, the result is 40. If you add Fred's age to 4 times

jolli1 [7]

Answer:

Fred is 28 yrs old. Nathalie is 12yrs old

Step-by-step explanation:

Let Nathalie's age be x

Let Fred's age be a

x+a=40 yrs•••••1

4x+a=76yrs•••••2

a=40-x

Substitute a for 40-x in equation (2)

4x+40-x=76

3x=76-40

3x=36

x=12

a=40-12

a=28

5 0

3 years ago