Work out the equation of the line which passes through the point (1,-2)and is parallel to the point y=x+4

Answer:

It's a right angle triangle with 90° at C

Step-by-step explanation:

sin A = cosB when

A + B = 90

The condition that sin A equals cosine B, with A and B being acute angles, indicates that both angles are complementary and add up to 90 degrees, suggesting a right-angled triangle.

When given the condition that sin A equals cosine B in a triangle, and both angles A and B are acute, we can determine that triangle A and B are complementary, which means they add up to 90 degrees.

This is due to the co-function identity, where sin(90° - θ) = cos(θ) and cos(90° - θ) = sin(θ) for acute angles in right-angled triangles.

If A and B are in the same triangle, and given it is a right triangle (since they are acute and the sine of one equals the cosine of the other), we can conclude that A + B = 90°, and thus, the third angle will also be 90 degrees, making the triangle a right-angled one.

Answer:

2/5

Step-by-step explanation:

The lines are parallel, so they have the same slope.

The red lines has a slope of 2/5

The green line has a slope of 2/5

Answer: 2/5

Step-by-step explanation:

if they did not have the same slope, they would not be parallel

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given:

Side length of square = 2 in

To find:

The area of the square

Solution:

Area of the square:

Area = side × side

        = 2 in × 2 in

Area = 4 in²

Therefore, the area of the square is 4 inches².

Answer:

h1,h2,h3,h4,h5,h6,t1,t2,t3,t4,t5,t6

Step-by-step explanation:

h or t is the coin, the number is the die

Final answer:

The sample space for flipping a coin and rolling a number cube consists of 12 possible outcomes. The probability of event A occurring is 1/6. Events A and B are mutually exclusive as they cannot occur at the same time.

Explanation:

A coin is flipped and a number cube is rolled; the sample space for this experiment can be listed by combining each possible outcome of the coin flip with each possible outcome of the number cube roll. The coin can either be heads (H) or tails (T), and the number cube, which is a six-sided die, can land on any number from 1 to 6.

H1

H2

H3

H4

H5

H6

T1

T2

T3

T4

T5

T6

Therefore, the sample space consists of 12 possible outcomes.

For part b, event A is "either a three or a four is rolled first, followed by landing a head on the coin toss." The favorable outcomes for event A are H3 and H4. Since there are 12 possible outcomes, and 2 of them are favorable, the probability P(A) is 2/12, which simplifies to 1/6.

For part c, event B is "the first and second tosses land on heads," which is not possible since the first "toss" is actually a roll of a die. Therefore, events A and B are mutually exclusive, as they cannot occur simultaneously. The occurrence of event A does not involve a second toss of the coin and event B is not possible within the context of this experiment.

Answer:

28/3 or 9⅓

Step-by-step explanation:

2/3 = x/14

x = 2×14/3

x = 28/3

Answer:

28/3 =x

Step-by-step explanation:

2/3 = x/14

We can solve using cross products

2*14 = 3x

28 = 3x

Divide each side by 3

28/3 = 3x/3

28/3 =x

Answer:

x = (164 - y)/5

y = 165 - 5x

Step-by-step explanation:

A whole rotation is 360° (All the angles together = 360°)

148 + 2x + 47 + y + 3x = 360

195 + 5x + y  = 360

165 = 5x + y

y = 165 - 5x

5x = 165 - y

x = (164 - y)/5

Answer:

10,080,000 cubic meters is the answer.

Step-by-step explanation:

For every minute (x), 168,000 cubic meters (y) of water are added. 1 hour has 60 minutes, so 60 x 168,000. That gives 10,080,000.

Step-by-step explanation:

When 2/5 is divided by 4 we get or we can do the reciprocal

Here we Get

2/5 * 1/4

= 1 / 10

Answer:

2/20 = 1/10

Step-by-step explanation:

Answer:

D = 0

Step-by-step explanation:

D = b^2 - 4ac =

= 6^2 - (4*1*9) =

= 36 - 36 = 0

Final answer:

The discriminant of the quadratic equation x² + 6x + 9 = 0 is 0, which means there is one real root, and the graph of the equation is tangent to the x-axis at one point.

Explanation:

The discriminant of a quadratic equation is the part of the formula b² - 4ac that determines the nature of the roots of the equation. For the quadratic equation x² + 6x + 9 = 0, we can identify a = 1, b = 6, and c = 9. Using the discriminant formula, we get:

• Discriminant, D = b² - 4ac
• D = (6)² - 4(1)(9)
• D = 36 - 36
• D = 0

Since the discriminant is zero, it indicates that the quadratic equation has one real root, and the graph of the equation touches the x-axis at one point (the vertex of the parabola).

Answer:

110in

Step-by-step explanation:

The horizontal distance from where you stand to the lamp post is 40 inches.

Let the height of the lamp post be y inches.

The angle of elevation from the ground to the top!

of the lamppost to be 70°.

The height , y and the horizontal distance, form the legs of a right triangle .

We can use the tangent ratio, to calculate the height of the lamp post .

[tex] \tan(70 \degree) = \frac{y}{40} [/tex]

[tex]y = 40 \tan(70) [/tex]

[tex]y = 109.9[/tex]

To the nearest inch, the height is 110 inches

The height of the lamppost is approximately 110 inches, calculated using the tangent of a 70° angle with a base distance of 40 inches.

To find the height ( h ) of the lamppost, we can use trigonometric relationships. Given that we stand 40 inches from the base of the lamppost and measure the angle of elevation to be 70°, we can use the tangent function:

[tex]\[\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}\][/tex]

In this scenario:

- The angle [tex]\(\theta = 70^\circ\)[/tex]

- The adjacent side (distance from the base) is 40 inches

- The opposite side is the height \( h \) of the lamppost

Using the tangent function, we have:

[tex]\[\tan(70^\circ) = \frac{h}{40}\][/tex]

To solve for ( h ), we rearrange the equation:

[tex]\[h = 40 \cdot \tan(70^\circ)\][/tex]

Now we need to calculate [tex]\( \tan(70^\circ) \):[/tex]

[tex]\[\tan(70^\circ) \approx 2.747\][/tex]

Multiplying this by 40 inches:

[tex]\[h = 40 \cdot 2.747 \approx 109.88\][/tex]

Rounding to the nearest inch:

[tex]\[h \approx 110 \text{ inches}\][/tex]

Therefore, the height of the lamppost is approximately  110  inches.

Answer:

Table A represents a linear function. I know because the rate of change between the x and y values is always 1. If you look at the table diagonally, you can see that you can add one to all of your x values to get your y.

Step-by-step explanation:

Answer:

B. (-3,3)

Step-by-step explanation:

We want to know the solution to the equations, which just means where the two lines intersect.

If we just count the spaces, we can see that they touch at (-3,3). Remember that coordinates are (x,y), so we go left 3 (-3,3) and up 3 (-3,3).

Answer: the answer to this question is B

Step-by-step explanation:

Answer:

in a similar way,the volume of a cone and a cylinder that have identical bases and height  are proportional. if a cone and a cylinder have bases (shown in color) with equal areas and both have identical heights, the the volume of a cone is one-third that volume of a cylinder is V=πr2h

Step-by-step explanation:

Answer:

If the base dimensions and the heights are the same, the volume of the pyramid is approximately 1/3 the volume of the cube.

Step-by-step explanation:

awnser for plato math

Answer:7 x 10

1) Can be done by trail and error

Or

2) setting and slowing two equations

Step-by-step explanation:

If a and b are sides of rectangle

(1). 2a + 2b = 34

(2). ab = 70

From 1

a= 17-b

Substitute above a to (2)

(17-b)b = 70

17b - b^2 = 70

-b^2 + 17b -70 = 0

Multiple above by -1

b^2 - 17b + 70 = 0

Solving quadratic equation by factorising

(b-7)(b-10)=0

b=7 or b=10

If b= 7. a =10

If b=10. a=7

The dimensions of the rectangular shop that satisfies the given condition of having a perimeter of 34 m and an area of 70 m² are length=20 m and width=7 m.

The question is about finding the dimensions of a rectangular shop, given its perimeter and area. The perimeter and area of a rectangle can be expressed using the formulas Perimeter = 2*(length + width) and Area = length * width. In the problem, we are given that the perimeter is 34 m and the area is 70 m².

Let's denote the length as 'l', and the width as 'w'. To solve this, we can setup and solve a system of equations based on our formulas:

2*(l + w) = 34

l * w = 70

From these equations we can find that the dimensions of the rectangular shop that fit the conditions are length=20 m and width=7 m.

https://brainly.com/question/11957651

#SPJ12

Answer:

Step-by-step explanation:

when x=2,g(x)=1

from B when x=2

g(x)=1/4×2²=1

which is true .

so B

Hope this will help u...

Answer:

2

Step-by-step explanation:

=6/3

=2

Answer: 2crayons

Step-by-step explanation:

3 children share 6crayons equally

Looking at this

We have 3 children

We have 6crayons

How many does each one of them get

Let the each child's crayon represent p

I child to p crayon

3children to 6crayon

Cross multiply

1 ----- p

3 -----6

So we have

6×1=3×p

6=3p

P=6/3

P=2

So 1 child is entitle to 2crayons

Therefore, each child has 2crayons to themselves.

Answer:(x-h)^2+(y-k)^2=r^2

Step-by-step explanation:

I just answered it and it’s correct

The equation of the new circle will be,

⇒ (x - h)² + (y - k)² = r².

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Now, If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle.

Then, Equation of the new circle,

(x - h)² + (y - k)² = r²

Where center = (h, k)

radius = r

Hence, the equation of the new circle will be,

⇒ (x - h)² + (y - k)² = r².

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ7

Answer: subtraction property of equality

Step-by-step explanation:

subtracting d from both sides is the subtraction property of equality

Answer:

subtraction property of equality

Step-by-step explanation:

Answer:E

Step-by-step explanation:

Type it all into a calculator

Answer:

Part A C = (10,5)  Part B C. D'(0,10)

Step-by-step explanation:

Part A

Since c is at the point (2,1) in relation to the origin, we can multiply those distances by our scale factor of 5

(2,1) * 5 = (10,5)

The new point C is going to be (10,5)

Part B

If you dilate with a factor of 5 -- relative to the origin -- you have to multiply the distance from the origin by 5.

In this case, point D is already on the y axis, so it's x value wouldn't be affected. Point D is currently 2 units away from (0,0), so we can multiply 2*5 to get 10 -- our ending point is (0,10)

D. x =1 input value produces the same output value for the two functions.

Composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”. The function g (x) is called an inner function and the function f (x) is called an outer function.

Suppose we have two functions, f(x) and g(x). We can define the sum of these two functions by, (f + g)(x) = f(x) + g(x), where x is in the domain of both f and g.

When the graphs of y = f(x) and y = g(x) intersect , both graphs have exactly the same x and y values. So we can find the point or points of intersection by solving the equation f(x) = g(x). The solution of this equation will give us the x value(s) of the point(s) of intersection.

Learn more about function  f(x) and g(x), refer

https://brainly.com/question/4397150

#SPJ2

Answer:

10

Step-by-step explanation:

3 1/2 cups of orange juice

2 1/2 cups of lemonade

1 quart = 4 cups

4 cups of ginger ale

add them all together...

so there should be:

10 1-cup servings!

i hope this helped you!!

:)

The foci of the hyperbola is (0,3) and (0,-3).

Step-by-step explanation:

Given,

The equation of the hyperbola: [tex]\frac{(x-6)^{2} }{16} -\frac{(y+7)^{2} }{9} =1[/tex]

To find the foci of the given parabola

Formula

If the equation of the hyperbola:  [tex]\frac{(x-h)^{2} }{a^{2} } -\frac{(y-k)^{2} }{b^{2} } =1[/tex]

The focus will be (0,±c) where c² = a²+b²

Now,

Here, a=3 and b=4

c² = 3²+4² = 25

or, c = ±5

Hence,

The foci of the hyperbola is (0,3) and (0,-3)

Answer:

(1, -7) and (11, -7)

or A on edge

Step-by-step explanation:

took the quiz

Answer:

20x

Step-by-step explanation:

1 do the work 2 dont ask brianly

Answer:C

Step-by-step explanation: 42 is bigger than 40 but I’m really not sure

Answer:

$8.53

Step-by-step explanation:

The first thing you do is convert the oz into pounds. There is 16 oz in a pound so our fraction is 9/16 which is 0.5625 . Then adding to the pounds it becomes 6.5625 pounds. Then multiply by 1.3.

Answer: The answer is A

Step-by-step explanation:

because you have to take your lowest number 52 and put a line the your highest number 65 and put a line then 55, 58 and 59 are being repeated so therefor you do a like box thing to get your answer dont really know how to explain hope this helps

A. 18 is 20% of 90

B. 15 is 25% of 60

C. 12 is 30% of 40

D.  24 is 40% of 60

E. 39 is 60% of 65

F. 78 is 30% of 234

(Sorry I have to go, but hopefully I helped you)