Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).

Answer y = 1/4 (x+3)^2 + 4

Step-by-step explanation:

If the focus is (-3, 3) and the directrix is y=5, the vertex is at (-3, 4). a = 1/4p, p=1, a=1/4. (h,k) is the vertex.

y=a(x-h)^2 +k

y=1/4(x+3)^2+4

Answer: The equation of a line in the form y = mx + b can be written as y - mx - b = 0. So we can rewrite the equation of the line as 2y - 3x + 5 = 0. This means that the slope of the line is -3/2.

The slope of a line perpendicular to this line would be the negative reciprocal of -3/2, which is 2/3. Let's call the point M (x, y). We know that the line passing through (2, 6) has a slope of 2/3. So we can write the equation of this line as:

y - (2/3)x - b = 0

Substituting the point (2, 6) into this equation, we get:

6 - (2/3)(2) - b = 0

b = 4

So the equation of the line passing through (2, 6) is:

y - (2/3)x - 4 = 0

To find the coordinates of point M, we need to find the point where these two lines intersect. Setting the two equations equal to each other and solving for x and y, we get:

2y - 3x + 5 = y - (2/3)x - 4

5 - 2y = y - (5/3)x + 4

(5/3)x = 3 - y

x = (3 - y) * (3/5)

Substituting this expression for x into one of the original equations, we can solve for y:

2y - 3((3 - y) * (3/5)) + 5 = 0

2y - (9 - 3y)(3/5) + 5 = 0

(10/5)y - (9/5) + 5 = 0

y = (9/5) + (5/5)

y = 2

Substituting this value for y back into the expression for x, we get:

x = (3 - 2) * (3/5)

x = 1

So the coordinates of point M are (1, 2).

Step-by-step explanation:

On solving the provided question, we can say that - the area of the following rectangle is 200 cm sq.

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

here,

we have

L = 20 cm

and B = 10 cm

Area of rectangle, A =L X B = 20 X 10 = 200 cm sq.

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Answer:

299.25

Step-by-step explanation:

285x.05=14.25 tax

285 + 14.25=299.25 total cost

Ellie spend of $37.8 for  2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad

Two or more expressions with an Equal sign is called as Equation.

The amount is not given for each hot dog, hamburger and potatos.

But Ellie brought 2 packs of hot dogs ,

3 lbs of hamburger, and

2 lbs. of potato salad

Let us consider each hot dog is $6

Hamburger is $5.6 and potatoes is $4.5

Total amount is 2(6)+3(5.6)+2(4.5)

12+16.8+9

$37.8

Hence, Ellie spend of $37.8 for  2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad

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Answer:

Eexplanation:

1/3y = 9

y/3 = 9

y = 9 × 3

y = 27

Answer:

18

Step-by-step explanation:

Answer:

matching pairs of participants based on a variable and then randomly assigning one member of each pair to each group.

Step-by-step explanation:

A control experiment can be defined as an experiment in which a condition assumed to be a probable cause of the effect is being compared to the same situation by the scientist without involving or using the suspected condition.

A control group generally makes an experiment to work because they are not exposed to the variables and a neutral treatment.

On the other hand, an experimental group can be defined as a collection of participants that are subjected to the independent variable.

A matched pairs design involves matching pairs of participants based on a variable and then randomly assigning one member of each pair to each group. Thus, it's a process which typically involves pairing each individual in an experimental group with respect to another in the control group.

Generally, a matched pairs design is often times used when only a small group of participants are available for an experimental study or research.

Answer:

D is correct Answer. x-4. THANK YOU.

The scale factor of the dilation is 3

From the question, we have the following parameters that can be used in our computation:

Line segment AB = 12 units

After the dilation = 36 units

The scale factor of the dilation is then calculated as

Scale factor of the dilation = After the dilation/Line segment AB

Substitute the known values in the above equation, so, we have the following representation

Scale factor of the dilation = 36/12

Evaluate

Scale factor of the dilation = 3

Hence, the scale factor is 3

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Answer:

A.

Step-by-step explanation:

just put it i swear it will help lollllll

Answer:

A. Adjacent  

B. Complementary

C. Complementary

Step-by-step explanation:

Answer:

[tex] \frac{92}{15} [/tex]

Step-by-step explanation:

change to improper

[tex] \frac{24}{5} + \frac{4}{3} [/tex]

this gives us

[tex] \frac{92}{15} [/tex]

final answer

plz mark as brainliest

Answer:

[tex]\frac{92}{15} or 6\frac{2}{15}[/tex]

Step-by-step explanation

hope this helps have a good day :)

Answer:

B. Yes; the domain values are at regular intervals and the range values have a common factor 4.

Step-by-step explanation:

I calculated it logically

Step-by-step explanation:

plz mark as brainlist////

Answer:

90 degree

Step-by-step explanation:

since the original angle BAC is 90 degree, no matter the triangle is rotated or translated, the angle remain unchanged

Answer:

VOLUME:

amount of confetti stuffed in a tube

amount of soup in a can

amount of dirt in a flower pot

SURFACE AREA:

amount of paper to cover a can

amount of paint for outside of tube

amount of cardboard to make a tube

Step-by-step explanation:

Answer:

x=16

Step-by-step explanation:

the angle would be 1/2 of the arc so here's the steps

(2)7x+16=18x-32

14x+32=18x-32

    +32        +32

14x+64=18x

-14x .     -14x

64=4x

64/4=4x/4

x=16

Solving the provided question, we can say that the quadratic equation is [tex]-16t^2 +vt +s[/tex] so answer is -16+48+3 = 35

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

the quadratic equation is

[tex]-16t^2 +vt +s[/tex]

v = 16

s =3

t =

so answer is -16+48+3 = 35

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Answer:

-0.750

Step-by-step explanation:

[tex] \huge \fbox{Answer : }[/tex]

The value of k for which

[tex] \sin(k - x) = \cos(x) [/tex]

is

[tex] \dfrac{\pi}{2} [/tex]

Answer:

Archimedes

Step-by-step explanation:

The father of Mathematics is known as Archimedes

-TheUnknownScientist

Answer:

(probably) 96

Step-by-step explanation:

2 buildings, 3 floors, 16 windows.

first, 16x3=48

and then 48x2=96

So, the total number is 96.

Answer:

B, C, and F

Step-by-step explanation:

You can double check my answers and it'll make sense.

2 to the power of 4 means you multiply 2 by itself 4 times.

The answer of that would be 16.

4 x 4 also equals 16 so therefore those three answers are equivalent.

Answer:

a and c

Step-by-step explanation:

it says equivalent to

Answer: 3 x [tex]10^{24}[/tex]

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Given the expression below.

[x + 5) - (x - 5]

If x = 10, we will have to substitute x = 10 into the expression given as shown;

[x + 5) - (x - 5]

=[10 + 5) - (10 - 5]

= 15 - 5

= 10

Hence the required value is 10

Tip: Before finding a volume, you'll need to know the FORMULA of it. So the formula for a volume is Length x Width x Height. Then you should be able to solve any shape.