Find the equation of the line.
Use exact numbers
y = [blank] x + [blank]

Answer:

y

=

x

−

1

4

x

+

7

y

=

5

y

=

2

x

−

5

Step-by-step explanation:

sorry if u cant read my thing is being weird

Answer:

(8, -4)

Step-by-step explanation:

When you cancel the terms out by subtracting the second equation by the first, you get 4y = -16, which means y = -4. Then you can plug it back in to any eauation. For example, we can do the second one, 4x + 6(-4) = 8. This sumplifies to 4x + -24 = 8. Add 24 to both sides which gets us 4x = 32, and then you get x which is 8. The ordered pair is (8, -4). Hope this helps! (this is my first answer)

Given:

The sum of three numbers is 212 .

The ratio of the first to the second is 13:16 and that of the second to the third is 2:3.

To find:

The unknown numbers.

Solution:

We have,

First : Second = 13:16

Second: Third = 2:3

We need to combine these ratios, to get a single ratio for all three numbers.

Second: Third = 2×8:3×8 = 16:24

Now,

First: Second: Third = 13:16:24

Let the first, second and third numbers are 13x, 16x and 24x respectively.

[tex]13x+16x+24x=212[/tex]

[tex]53x=212[/tex]

[tex]x=\dfrac{212}{53}[/tex]

[tex]x=4[/tex]

So, the numbers are,

[tex]First=13x[/tex]

[tex]First=13(4)[/tex]

[tex]First=52[/tex]

Similarly,

[tex]Second=16x[/tex]

[tex]Second=16(4)[/tex]

[tex]Second=64[/tex]

And,

[tex]Third=24x[/tex]

[tex]Third=24(4)[/tex]

[tex]Third=96[/tex]

Therefore, the three unknown numbers are 52, 64, 96.

Answer:

0

Step-by-step explanation:

7c =

7(0) = 0

hope you understand

Answer:

since the c is 0.. then substitute c as 0 in 7c...

hence the equation will be 7(0)...

equals to 7×0

the answer is 0

Answer: Chris is taller by 5 inches.

Step-by-step explanation:

You need to convert one of them to the other's unit of measurement so as to be able to measure effectively.

Assuming we convert to inches.

An inch is 2.54 cm.

Since Chris is 185 cm tall, Chris's height in inches is:

= 185 / 2.4

= 77 inches

Chris is therefore taller by 5 inches.

f(2x-3)=4x+5

Let, 2x-3=g

x=(g+3)/2

So,f(2{g+3}/2 -3)=4(g+3)/2 + 5

f(g)=2g+11

So,f(x)=2x+11

f(-2)=7 ##

Answer:

f(2x - 3) = 4x + 5

f(2x-3)=2(2x-3)+11

f(x)=2x+11

f(-2)=2×-2+11=-4+11=7

Answer:

47

Step-by-step explanation:

Angles B and D are equal.

Angles A and C are equal.

Anges in parallelogram add up to 360°

5x+38=8x-19

57=3x

x=19

B=(5×19)+38=133°

D=(8×19)-19=133°

A+C=360-133-133

A+C=94

A and C are the same so you can do 94/2=

Therefore, both angles A and C are 47 :D

The measure of angle c in the parallelogram is 47°.

A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal. Also, opposite angles are equal and the shape has equal diagonals.

∠B = ∠D (opposite angles are equal)

8x - 19 = 5x + 38

x = 19

∠B = 5(19) + 38 = 133°

∠C + ∠B  = 180° (base angles of parallelogram_

∠C + 133 = 180

∠C = 47°

The measure of angle c in the parallelogram is 47°.

Find out more on parallelogram at: https://brainly.com/question/970600

Answer:

7.86seconds

Step-by-step explanation:

Given the expression used to model the length of the pendulum as

L=0.81t^2 where t is the period

IF the pendulum is 50 feet long, then L = 50 feet

Substitute

50  = 0.81t^2

t² = 50/0.81

t² = 61.7283

t = 7.86 seconds

Hence the period is 7.86seconds

Answer:

$15

Step-by-step explanation:

First you move the decimal in the percent 2 times to the left and get .25. And then you multiply that by 60 and get 15.

Answer:

C. y= -2x-8 is the answer

Answer:

y = -2x - 4

Step-by-step explanation:

y = mx + b(we substitute the "x" and "y" points into this general formula)

-6 = -2 (1) + b ( multiply "-2" by "1" and obtain the answer itself "-2")

(+ 2) -6 = -2 + b (+ 2)( then we add "2" on both side so the right side will be left with only "b". and "-6 + 2 = -4")

-4 = b( we substitute this answer in the general formula we've written )

y= -2x -4

Answer:

Find x,If x + 15 = 30.

Step-by-step explanation:

Answer:

D) x < -1​

Step-by-step explanation:

The open circle means it is <

Answer:

ok ask your self what is 4x20+4 done pss its 84...

Step-by-step explanation:

ok

Answer:

84x

Step-by-step explanation:

Equation:

X(4+20)

=24x

X(24+60)

=84x

Answer:

190,944 possibilities

Step-by-step explanation:

2 x 6 x 52 x 51

Answer:

I think it should be 2 triangle

If it get wrong , so sorry for wrong answer

Answer:

the 2nd one

Step-by-step explanation:

Answer:

no never have and never will sorry

Answer:

ewwww.

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

The frequency column gives the number of houses in the sample, then

number of houses = 5 + 11 + 23 + 1 = 40

Answer:

(1,-3)

Step-by-step explanation:

The slope of the table is 2

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

to determine the slope:

From the table, we have the following points:

(x,y) = (0, 4) and (1,7)

The slope is then calculated as:

m = (y2 - y1)/(x2 - x1)

Substitute known values

m = (7 - 4)/(1 - 0)

Evaluate the differences

m = 3/1

Divide

m = 2

Hence, the slope of the table is 2

Read more about slopes at:

brainly.com/question/3493733

#SPJ7

Answer:

2/15

Step-by-step explanation:

Sophie planted 1/5 of the garden lucas planted some too 2/3 still need seeds how much seeds did lucas plant

Let us represent the total number of seeds planted as = 1

Total number of seeds planted = Number of seeds( Sophie planted + Lucas planted + The number of seeds Lucas needs to plant)

Let the number of seeds Lucas needs to plant be represented by = x

1 = 1/5 + x + 2/3

x = 1 - (1/5 + 2/3)

Lowest Common Denominator = 15

x = 1 - (3 +10/15)

x = 1 - 13/15

x = 2/15

The number of seeds that Lucas planted = 2/15

Answer:

2/15

Step-by-step explanation:

Step-by-step explanation:

The location of A is 3.2

The location of A' is 6.4

A represent pre image A' represent the new image.

The scale factor of A to A' is 2 since 3.2 x 2 =6.4

Since you didnt provide B coordinates, just multiply 2 by the B coordinate to find the B prime coordinate.

Answer: A.)The scale factor is 0.8 and the coordinates of point B prime are (–3.2, –4.8).

Step-by-step explanation: i hope this helps im sorry if this didnt help

Let x be number of $10 dollar bills

Let y be number of $5 dollar bills

Let z be number of $1 dollar bills

From the question, we can come up with three equations (so we can find the values of x, y & z) :

The first equation comes from finding the total money Elizabeth has, which is $101.

The second equation comes from value of y (number of $5 bills) is more than value of x (number of $10 bills) by 5 dollars.

The third equation comes from the value of z (number of $1 bills) being 4 times more than the value of x (number of $10 bills).

Now, we will begin to find the value of x, y & z.

From the first equation,

10x + 5y + z = 101

Substitute the third equation (z = 4x) into z:

10x + 5y + 4x = 101

Simplify this and you get,

14x + 5y = 101

Now, we use the second equation. The second equation is y - x = 5. If we try to make y as the subject, it becomes y = 5 + x.

Now, substitute this into the value of y of the last working we did:

14x + 5(5+x) = 101

Simplify that and it becomes:

x = 4

Then, substitute this value of x into the second and third equations to find y and z.

y - x = 5

y - 4 = 5

y = 9

z = 4x

z = 4(4)

z = 16

Finally, let's check these answers by substituting them into the first equation to try and see if the total value is really $101.

10x + 5y + z = 10(4) + 5(9) + 16

10x + 5y + z = 40 + 45 + 16

10x + 5y + z = 101

Thus, our answers are correct. Elizabeth has FOUR $10 bills, NINE $5 bills and SIXTEEN $1 bills.

Answer:

Thus, our answers are correct. Elizabeth has FOUR $10 bills, NINE $5 bills and SIXTEEN $1 bills.

Step-by-step explanation:

;)

Answer: 8.25cm

Step-by-step explanation:

Use Pythagorean's Theorem for a right triangle:

[tex]a^2+b^2=c^2[/tex]

'A' and 'B' being the legs and 'C' being the hypotenuse.

[tex]16^2+b^2=18^2\\256+b^2=324\\b^2=68\\b=\sqrt{68}=8.25cm[/tex]

Answer:

40, 42 and 44

Step-by-step explanation:

Mark these even consecutive integers as (2n-2), 2n and (2n+2)

Note that since they are integers, n > 0 and 2n is always even

Writing the equation

(2n-2) * 2n = 38 * (2n+2) + 8

// divide both sides by 2

(2n-2) * n = 19 * (2n+2) + 4

[tex]2n^{2}[/tex] - 2n = 38n + 38 + 4

[tex]2n^{2}[/tex] - 2n - 38n - 38 - 4 = 0

[tex]2n^{2}[/tex] - 40n - 42 = 0

// divide both sides by 2

[tex]n^{2}[/tex] - 20n - 21 = 0

// rewrite the equation

[tex]n^{2}[/tex] + n - 21n - 21 = 0

n * (n+1) - 21n - 21 = 0

n * (n+1) - 21 * (n+1) = 0

(n+1) * (n-21) = 0

// separate the two possible cases

n + 1 = 0 and n - 21 = 0

n = -1              n = 21

Note that here n has to be an integer, so case n = -1 can't be a solution. Therefore we use n = 21

Calculating the consecutive even integers

2n - 2 = 2 * 21 - 2 = 40

2n = 2 * 21 = 42

2n + 2 = 2 * 21 + 2 = 44

Answer:

8

Step-by-step explanation:

x is 8

[tex]8x + 3y = 70[/tex]

with given condition where y = 2.

Therefore, substitute the value of y in the equation.

[tex]8x + 3(2) = 70 \\ 8x + 6 = 70[/tex]

[tex]8x = 70 - 6 \\ 8x = 64 \\ x = \frac{64}{8} \longrightarrow \frac{8}{1} \\ x = 8[/tex]

[tex]8x + 3y = 70 \\ 8(8) + 3(2) = 70 \\ 64 + 6 = 70 \\ 70 = 70[/tex]

Hence, the equation is true for x = 8 and y = 2.

[tex] \large{x = 8}[/tex]

Answer:

72.1110255093 cm

Step-by-step explanation:

round it if you have to

Answer:

75 cm

Step-by-step explanation:

The diagonal d divides the rectangle into 2 right triangles with d as the hypotenuse.

Using the right triangle formed on the left and using Pythagoras' identity.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

d² = 45² + 60² = 2025 + 3600 = 5625 ( take square root of both sides )

d = 75

The diagonal is 75 cm

Answer:

c. sin 8x + sin 2x

Step-by-step explanation:

1. Convert the product into sum or differences: 2 sin 5x cos 3x

Solution:

2 sin 5x cos 3x = sin (5x + 3x) + sin (5x -3x), [Since 2 sin A cos B = sin (A + B) + sin (A - B)]

= sin 8x + sin 2x

Answer:

59.5 feet

Step-by-step explanation:

Set up a proportion

Tree 1

17 feet tall

10 feet shadow

Tree 2

35 feet tall

x feet shadow

17/10= 35/x

(17)(35)= (10)(x)

595= 10x

/10    /10

59.5= x

The cast shadow of the second tree is 59.5 feet

Answer:

120 in^2

Step-by-step explanation: