A straight line
has gradient 4
and
passes through the point (5, 23)
Work out the equation of the line.
Give your answer in the form
y= mx + c

Answer:

128 square inches

Step-by-step explanation:

Window one's area is 31 times 32 which is 992 in^2

Window two's area is 27 times 32 which is 864 in^2

Subtract 992 from 864 to get the difference

Answer: x = -1 and y = -2

Step-by-step explanation:

You are given two expressions that have a relationship. There are two ways to solve this problem, but I will be going over the easy way. I'm assuming you know how to solve for one variable such as x? Well we can put the y varaible from the first equation in terms of x, from the second equation. Ill show you what I mean:

6x + 5(7x + 5) = -16

I replaced y in the first one in terms of x, so that we can solve just for x.

6x + 35x + 25 = -16

41x +25 = -16

41x = -41

x = -1

Now simply find y by plugging the now known x value into either equation

y = 7(-1) + 5

y = -2

Answer:

x = -1

y = -2

(  -1, -2 )

Step-by-step explanation:

6x + 5y = -16

They gave us what "y" is and its....

y = 7x + 5

We substitute the "y" in the equation with this "y = 7x + 5

"

6x + 5y = -16

6x + 5(7x + 5) = -16

Now we need to use the distributive property (multiply what is in the parenthesis by "5")

6x + 5 * 7x + 5 * 5 = -16

6x + 35x + 25 = -16

Combine Like Terms ( 6x and 35x)

41x + 35 = -16

Subtract 25 on both sides

41x + 35 - 25 = -16 - 25

41x = -41

Divide by 41 on both sides to isolate the variable

41x/41 = -41/41

x = -1

Now that we have what "x" is (-1) we can use that to find out what "y" is.

y = 7x + 5

Substitute the x with -1

y = 7x + 5

y = 7(-1) + 5

y = -7 + 5

y = -2

x = -1

y = -2

( x, y )

( -1, -2 )

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer: Every quadratic has a (single) y-intercept. The reason for this is that the y-intercept is the function value at x = 0, and we can always substitute x = 0 into the quadratic. Thus, the y-intercept of the quadratic function y = ax2 + bx + c is c.

Step-by-step explanation:

Answer:

The price after the discount is $600

The amount discounted off is $200

Step-by-step explanation:

Answer:

(300,000 + 20,000 + 0 + 700 + 40 + 9)

Step-by-step explanation:

The expanded form of 320, 749

Segmenting each digit in the figure based on its place value :

3 = 100 thousand place = 3 * 100,000 = 300000

2 = ten thousand place = 2 * 10,000 = 20000

0 = thousand place = 0 * 1,000 = 0

7 = hundred place = 7 * 100 = 700

4 = tens place = 4 * 10 = 40

9 = unit place = 9 = 9

(300,000 + 20,000 + 0 + 700 + 40 + 9)

Answer:

60 degrees

Step-by-step explanation:

add all together

make an equation of the sum= 180

this would mean 9r-9=180

solve

9r-9=180

9r=189

r=21

plug 21 in for r on the angle Y

solve

3(21)-3

63-3

60

Answer:

22%

Step-by-step explanation:

The change in calories = 1950 - 2500 = -550

percent decrease for calorie intake = (change in calories / initial calorie intake ) x 100

[tex]\frac{-550}{2500}[/tex]  X 100 = -22%

Answer:

22%

Step-by-step explanation:

i did the quiz

Answer:

6.53 s

Step-by-step explanation:

The height of the cannon ball is represented by a quadratic function as:

h(t) = -4.9t² + 30.5t +9.8.

At 0 s (i.e. t = 0), h(0) = -4.9(0²) + 30.5(0) + 9.8 = 9.8

That means that the cannon ball is initially at a height of 9.8 m above the ground. To calculate the time it takes the ball to touch the ground, we use:

h(t) = -4.9t² + 30.5t +9.8

It touches the ground when h(t) = 0. Hence:

0 = -4.9t² + 30.5t + 9.8

Solving the above quadratic equation gives:

t = 6.53 s and t = -0.31 s

Since the time cannot be negative, hence t = 6.53 s. Therefore it takes the ball 6.53 s to hit the ground.

Answer:

The correct options for the possible lengths of the third side are;

13 inches

28 inches

Step-by-step explanation:

The given lengths of two sides of the triangle are;

The length of one side of the triangle = 1 foot = 12 inches

The length of the other side of the triangle = 20 inches

The question can be solved by the triangle inequality theorem as follows;

A + B > C

B + C > A

A + C > B

Let the given sides be A = 12 inches and B = 20 inches

We have;

12 + 20 = 32 > C

Therefore, by the triangle inequality theorem, the third side, 'C', is less than 32 inches

Similarly, when C = 6 inches, we have;

A + C = 12 + 6 = 18 < B = 20

Therefore, the third side cannot be 6 inches

when C = 13 inches, we have;

A + C = 12 + 13 = 25 > B = 20

Therefore, the third side can be 13 inches

when C = 28 inches, we have;

A + C = 12 + 28 = 30 > B = 20

Therefore, the third side can be 28 inches

Based on the triangle inequality theorem, the possible lengths of the third side of the triangle are: 13 inches and 28 inches.

The Triangle Inequality Theorem

The triangle inequality theorem states that, sum of the length of any two sides of a given triangle = length of the third side.

Given the measures,

The possible third side must make the three set of numbers conform to the triangle inequality theorem.

Thus, for 13 inches, we have:

13 + 12 > 20; 12 + 20 > 13; 20 + 13 > 12

Also, for 28 inches, we have:

28 + 12 > 20; 12 + 20 > 28; 20 + 28 > 12

Therefore, based on the triangle inequality theorem, the possible lengths of the third side of the triangle are: 13 inches and 28 inches.

Learn more about triangle inequality theorem on:

https://brainly.com/question/26037134

Answer:

I believe the answer is -9.2

Step-by-step explanation:

Answer:

4x - y = 16

Step-by-step explanation:

y = 2(x – 3)2 - 4

When written in standard form, this will be the answer --->

4x - y = 16

Answer:

y = 2x² - 12x + 14

Step-by-step explanation:

The equation of a parabola in standard form is

y = ax² + bx + c ( a ≠ 0 )

Given

y = 2(x - 3)² - 4 ← expand (x - 3)² using FOIL

  = 2(x² - 6x + 9) - 4 ← distribute parenthesis

  = 2x² - 12x + 18 - 4

y  = 2x² - 12x + 14 ← in standard form

Answer:

startling

Step by step:

remove the l, and the word becomes: starting

remove one t, and the word becomes: staring

remove the a, and the word becomes: string

remove the r, and the word becomes: sting

remove the other t, and the word becomes: sing

remove the g, and the word becomes: sin

remove the s, and the word becomes: in

remove the n, and the word becomes: I

Answer:

0.47..................

Step-by-step explanation:

..........

Answer: 8/15

Step-by-step explanation:

You need part a of the question to answer this question correctly. In part a of the question it is said there is 6 sandwiches, 3 desserts and 5 drinks.

Two of the desserts are sugar free (2/3).

Four of the drinks are sugar free (4/5)

Times these fractions together, 2/3x4/5= 8/15.

Hope this helps :)

The probability of selecting a sugar free dessert and drink is 2/5

Number of sandwiches = 6

Number of dessert = 3

Number of drinks = 5

Sugar free drinks = 3

Sugar free dessert = 2

Recall :

Probability = required outcome / Total possible outcomes

P(both dessert and drink are sugar free) :

(sugar free dessert) × p(sugar free drink)

(2 /3) × (3 / 5) = 6/15 = 2 / 5

Hence, the probability of selecting a sugar free dessert and drink is 2/5

Learn more : https://brainly.com/question/18153040

Answer:

B. 1.828 meters

Step-by-step explanation:

Answer:

I think the answer would be n = 9/4

Answer:

115% = 85.10

divide both sides by 115 to find 1%

1% = 0.74

now multiply both sides by 100 to find 100%

100% = 74

cost price = $74

Answer:

Original price = $49.98

Step-by-step explanation:

Target has it listed for $34.99 which is 70% of the original price.

Let the original price be x.

ATQ,

[tex]70\%\ of\ x=34.99\\\\x=\dfrac{34.99\times 100}{70}\\\\x=\$49.98[/tex]

So, the original price of the Lego set is $49.98.

Answer:

y=2

Step-by-step explanation:

-6+7y=8

7y=8+6

7y=14

y=2

Answer: 72

Step-by-step explanation:

From the question, we are informed that Mary Beth needs a 90% on her final exam to get an A for the quarter and that the exam has 80 questions.

The number of questions does that Mary need to answer correctly in order for her to get an A would be 90% of 80. This will be:

= 90% × 80

= 90/100 × 80

= 72

She must get 72 to get a A.

Answer:

slope is 2 and y-intercept is (0, 4)

Step-by-step explanation:

Answer:

s- 2       y int- 4

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

5x-10=3x+12

5x-3x=12+10

2x=22

x =11

Answer:

sos

Step-by-step explanation:

Answer:40 teenagers

Step-by-step explanation:

To find the answer to this question, you would have to divide 2000(amount of people) by 100 to find the amount of people for 1%. After you find that, you would multiply the answer by 2.  Equation: 2000÷100= 20 · 2= 40.

40 teenagers

So we know that to find the answer to this question, you would have to divide 2000(amount of people) by 100 to find the amount of people for 1%.

After you find that, you would multiply the answer by 2.  

Equation: 2000÷100= 20 · 2= 40.

Final result: 40

Answer:

A. Multiply 2/5 by 4

Step-by-step explanation:

Because when you dividend fraction

1,write the reciprocal of the second fraction number and multiply with the first fraction number

2,multiply the numerators and denominators of both fraction..

the reciprocal of 1/4 is 4/1 =4so the answer is 2/4 by4

Answer:

Step-by-step explanation:

Ghhhhhjhhbhhhhu

Answer:

48cm

Step-by-step explanation:

96/12=8

This means that 8 is the factor by which the diagram and the actual ramp vary

so then you multiply 8 times the height on the diagram to find the true height

8x6=48