A rectangle has an area of 4y^2 – 49 square units. What are the dimensions of the rectangle?

-X + 2y= -3 and -8x — 3y= -5

Goshia [24]

Answer:

x=1, y=-1. (1, -1).

Step-by-step explanation:

-x+2y=-3

-8x-3y=-5

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-8(-x+2y)=-8(-3)

-8x-3y=-5

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8x-16y=24

-8x-3y=-5

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-19y=19

y=19/-19

y=-1

-x+2(-1)=-3

-x-2=-3

-x=-3+2

-x=-1

x=1

(1, -1)

4 0

2 years ago

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A student stands 20 m away from the foot

Ostrovityanka [42]

Answer:

Height of tree is $\approx$ 15 m.

Step-by-step explanation:

Given that student is 20 m away from the foot of tree.

and table is 1.5 m above the ground.

The angle of elevation is: 34°28'

Please refer to the attached image. The given situation can be mapped to a right angled triangle as shown in the image.

AB = CP = 20 m

CA = PB = 1.5 m

$\angle C$ = 34°28' = 34.46°

To find TB = ?

we can use trigonometric function tangent to find TP in right angled $\triangle TPC$

$tan \theta = \dfrac{Perpendicular}{Base}\\tan C= \dfrac{PT}{PC}\\\Rightarrow tan 34.46^\circ = \dfrac{PT}{20}\\\Rightarrow PT = 20 \times 0.686 \\\Rightarrow PT = 13.72\ m$

Now, adding PB to TP will give us the height of tree, TB

Now, height of tree TB = TP + PB

TB = 13.72 + 1.5 = 15.22 $\approx$ 15 m

7 0

3 years ago

Amanda uses 1/3 of a cup of milk each time she makes a batch of pancakes. How manybbatches can she make if she only has 11/22 of

kow [346]

Answer:

Amanda can make 1.5 or 3/2 of batches of pancakes with 11/22 of a cup of milk.

Step-by-step explanation:

1. Let's review the information given to us for answering the question correctly:

Amount of milk Amanda use for a batch of pancakes = 1/3 cup

2. How many batches can she make if she only has 11/22 of a cup of milk left?

Let's simplify 11/22, dividing by 11 the numerator and the denominator,

11/22 = 1/2

Now, using the Rule of Three Simple, we can calculate the answer to this question, this way:

Number of batches = (1/2 * 1)/1/3

Number of batches = 1/2 / 1/3

Number of batches = 1/2 * 3/1 (Taking the reciprocal)

Number of batches = 3/2 = 1.5

Amanda can make 1.5 or 3/2 of batches of pancakes with 11/22 of a cup of milk.

4 0

3 years ago

Which trend is the plot

xz_007 [3.2K]

Answer:

positive trend

Step-by-step explanation:

the points are all positive

4 0

3 years ago

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Which algebraic rule describes the translation of ADEF to AD'E'F?

Marrrta [24]

Answer:

B: (x, y) --> (x + 4, y - 3)

Step-by-step explanation:

the shape DEF went to the right along the x axis wich increased x and then went down the y axis or decreased y to make D'E'F'

some good way to remember these translations and orders are...
- x is first when plotting points, then y (x, y)
- x increases going right, and decreases going left, as well as y increasing going up, then decreasing going down

BONUS FACT:
the symbol ( ' ) is called a prime when refering to transformations and geometry ((as in D' is pronounced D prime))

4 0

2 years ago