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Radda [10]
2 years ago
13

There is a line that includes the point (0, 4) and has a slope of 9. What is its equation in

Mathematics
1 answer:
Artyom0805 [142]2 years ago
4 0

Answer:

y = 9x + 4

Step-by-step explanation:

The slope-intercept equation is

y = mx + b

M = slope

B = y-intercept.

From the point, we know the line intercepts y at 4. So the y-intercept is 4.

Now the slope is 9.

Now insert the numbers:

y = 9x + 4

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A rectangular yard is 20 yards wide and 40 yards long. It is surrounded by a thick hedge that grows on the border of the propert
borishaifa [10]

Answer:

W_{h}= 4.275yd

Step-by-step explanation:

Data

wide=20yd

length=40yd

Hedge area  A_{h}=171yd^{2}

If the area of rectangle is A=base * hight and our case L*W. then:

A_{h}=171yd^{2}=40yd*W_{h}

So W_{h}=\frac{A_{h} }{L} =171yd^{2}/40yd=4.275yd

7 0
3 years ago
GEOMETRY!!!! K' (6,5) is the image of K after a reflection in the line y=2. what are the coordinates of K
frutty [35]

Given:

The coordinates of point K' are (6,5).

K' is the image of K after a reflection in the line y=2.

To find:

The coordinates of point K.

Solution:

Let the coordinates of point K are (a,b).

If a figure is reflected over the line y=2, then

(x,y)\to (x,2(2)-y)

(x,y)\to (x,4-y)

Using this formula, the coordinates of image of K are

K(a,b)\to K'(a,4-b)

The coordinates of point K' are (6,5).

K'(a,4-b)=K'(6,5)

On comparing both sides, we get

a=6\text{ and }4-b=5

a=6\text{ and }-b=5-4

a=6\text{ and }-b=1

a=6\text{ and }b=-1

Therefore, the coordinates of point K are (6,-1).

3 0
3 years ago
One angle of a right triangle measure 85°. what is the measure of the other acute angle?
Talja [164]
5 degrees. Since its a right triangle, one of the angles is a right angle meaning it measures 90 degrees and 90+85=175 degrees and because of the Triangle Sum Theorem, we know a triangle equals 180 degrees. So 180-175= 5 degrees.
5 0
3 years ago
1) -2q-5= -11 2)3(8+k) = 33 3)4/6=x/9 4)6(y+3)=24 5)4k+8=26 6)8y=6+2y 7)3x-7=20 pls help!!!!!!!!!
KATRIN_1 [288]

Answer:

1) -2q-5= -11

-2q = -11+5

q = -6/-2 =3

2) 3(8+k) = 33

24 + 3k = 33

3k = 33-24

K = 9/3 = 3

3) 4/6=x/9

By cross multiplication

4x9 = Xx6

36 = 6x

So, x = 6

4) 6(y+3)=24

6y + 18 = 24

y = (24-18)/6 = 1

5)4k+8=26

4k = 26-8

k = 18/4 = 4.50

6)8y=6+2y

8y - 2y = 6

6y = 6

So, y = 1

7)3x-7=20

3x = 20+7

x = 27/3 = 9

3 0
3 years ago
Read 2 more answers
PLEASE ANSWERING THIS QUESTION!!!
Artemon [7]

The equation after completing the square is (z + 4)² = 80

The solutions to the given equation in the simplest radical form are z = -4 + 4√5 and z = -4 - 4√5

<h3>Completing the square </h3>

From the question, we are to solve the given quadratic equation by completing the square

The given equation is

z² +8z - 44 =20

First, add 44 to both sides of the equation

z² +8z - 44 + 44 = 20 + 44

z² +8z = 64

Now, divide the coefficient of z by 2, square the value and add to both sides

The coefficient of z is 8

Dividing

8/2 = 4

Squaring

4²

Now, add this to both sides

That is,

z² +8z +4² = 64 + 4²

(z + 4)² = 64 + 16

(z + 4)² = 80

The equation after completing the square is  

(z + 4)² = 80

Continuation

(z + 4)² = 80

Take the square root of both sides

√(z + 4)² = ±√80

z + 4 = ±√80

z = -4 ± √80

z = -4 ± 4√5

z = -4 + 4√5 and z = -4 - 4√5

Hence,

The equation after completing the square is (z + 4)² = 80

The solutions to the given equation in the simplest radical form are z = -4 + 4√5 and z = -4 - 4√5

Learn more on Completing the square here: brainly.com/question/49444

#SPJ1

5 0
2 years ago
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