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3 years ago

What is the equation of the line, in slope-intercept form, which contains points (9,10) and (21, 14)

Mathematics

1 answer:

MrRissso [65]3 years ago

4 0

Slope is 4/12=1/3

y-10=1/3(x-9)
y-10=1/3x + -3
y = 1/3x + 7

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A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens an

Levart [38]

Answer:

200 pencils and 120 pens

Step-by-step explanation:

Let the number of pencils be x while pens be y.

Considering the cost of whole purchase then, we get the equation

0.5x+y=220

Considering the number of items bought, then the equation is

x-y=80

Adding the two equations then we have

1.5x=300

x=300/1.5=200

Consideeing that x-y=80 and x is 200 then

200-y=80

y=200-80=120

Therefore, the pencils were 200 and pens 120 pieces

5 0

3 years ago

every 1/2 mile along a hiking path there is water fountain, every 1/4 mile there is a bench, and every 1/8 mile there is a marke

defon

Bench and mile marker

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4 years ago

The sum of three consecutive integer is -204. what is the largest integer? -63 --44--67 -62

Lisa [10]

-x + -x-1 + -x-2 = -204
-3x=-201
x=-67

-67-68-69=-204

5 0

3 years ago

The vector 〈4,1〉 describes the translation of A(-1, w) to A'(2x+1,\ 4) and B(8y-1,1) onto B'(3,3z) . Find the values of w, x, y,

expeople1 [14]

The values of the variables associated ot translation operations are (w, x, y, z) = (3, 1, 0, 2 / 3).

<h3>How to determine the values of the variables associated to translation operations</h3>

Herein we find two translation cases of points set on Cartesian plane. Translations are rigid operations of the form:

P'(x, y) = P(x, y) + T(x, y)

Where:

P(x, y) - Original point
P'(x, y) - Resulting point
T(x, y) - Translation vector

Now we proceed to determine the values of the variables w, x, y, z behind each translation operation, substitute on each component and solve the resulting formula:

T(x, y) = A'(x, y) - A(x, y)

(2 · x + 1, 4) - (- 1, w) = (4, 1)

(2 · x + 2, 4 - w) = (4, 1)

(x, w) = (1, 3)

T(x, y) = B'(x, y) - B(x, y)

(3, 3 · z) - (8 · y - 1, 1) = (4, 1)

(4 - 8 · y, 3 · z - 1) = (4, 1)

(y, z) = (0, 2 / 3)

To learn more on translations: brainly.com/question/12463306

#SPJ1

6 0

1 year ago

Carrie place is a 10 foot ladder against the wall if the ladder makes an angle of 65° with the level ground how far up the wall

natita [175]

Answer:

9......

Step-by-step explanation:

A right-angled triangle in the image below will be formed.

Now, we will make use of the trigonometric rule......

But before that, how do know the perfect rule to apply so as to solve the problem?

#. The side facing the angle 65 deg. is called the Opposite side

#. The side facing the angle 90 deg. is called the Hypotenuse

#. While the last side is called the Adjacent

Now, Looking at our question, we were given the Hypotenuse and asked to look for the Opposite side....This is where we apply the trigonometric rule

Sine(θ)=Opposite/Hypotenuse

Therefore,

Sine 64 = Opposite/10

Opposite = 10 x sine64

Opposite = 10 x 0.9

Opposite = 9cm

6 0

3 years ago

Read 2 more answers