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Marrrta [24]
3 years ago
9

Please help me with this ​

Mathematics
1 answer:
zzz [600]3 years ago
3 0

Answer: Z'(-7;8)

suppose the coordinates of Z' is Z'(x,y)

we have:

\left \{ {{x=8.cos90-7.sin90=-7} \atop {y=8.sin90+7.cos90=8}} \right.

=> Z'(-7;8)

Step-by-step explanation:

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1) You are designing a new kiddie soccer arena. The area of the rectangular
nikdorinn [45]

Answer:

The length of the rectangular field is 12 ft and the width is 5 ft.

Step-by-step explanation:

The area of a rectangle is:

\text{Area} = \text{length}\times \text{width}

The area of a rectangular field is, <em>A</em> = 60 ft.

The length of the field is:

l = w + 7

Compute the width of the field as follows:

\text{Area} = \text{length}\times \text{width}

60=(w+7)\times w\\\\60=w^{2}+7w\\\\w^{2}+7w-60=0\\

Factorize the last equation by splitting the middle term as follows:

w^{2}+7w-60=0\\w^{2}+12w-5w-60=0\\w(w+12)-5(w+12)=0\\(w-5)(w+12)=0

Now, since the width of rectangular field cannot be negative, the width is 5 ft.

Compute the length as follows:

l = w + 7

 = 5 + 7

 = 12

The length of the rectangular field is 12 ft.

7 0
2 years ago
Katie is biking to the beach. The graph gives her distance from the beach x hours after she began riding.
Burka [1]

Answer:

1. Distance from Katie's House to the beach = 75 km

2. Hours that it takes to get to the beach = 6 hrs

3. -12.5 which tells us the rate at which katie traveled which was 12.5 km per hour

Steps to 3.

Rise/Run = -75/6 = -12.5 = slope

3 0
3 years ago
Read 2 more answers
Stephen uses \dfrac{2}{25}
zepelin [54]

Answer:

13\dfrac{3}{4}$ servings

Step-by-step explanation:

Stephen uses \dfrac{2}{25} kilograms of tofu in each serving of his dish.

He has 1\dfrac{1}{10} kilograms of tofu.

We want to determine how many servings Stephen can make.

To do this, we divide the total weight of tofu by the weight per serving.

\dfrac{\text{Total Weight(in kg)}}{\text{Weight(kg) per serving}} =\dfrac{1\dfrac{1}{10}}{ \dfrac{2}{25}}\\ = \dfrac{11}{10}\div  \dfrac{2}{25}\\\\= \dfrac{11}{10}X  \dfrac{25}{2}\\\\= \dfrac{11X25}{10X2}\\\\= \dfrac{275}{20}\\\\=13\dfrac{3}{4}$ servings

Stephen can make 13\dfrac{3}{4}$ servings .

6 0
3 years ago
PLEASE HELP ILL MARK YOU BRAINLIEST!!!!! 75 POINTS Use the function f(x) = 2x2 − 5x + 3 to answer the questions. Part A: Complet
andrew-mc [135]

Answer:

A. (2x-3)(x-1)

B. (1,0) \\(1.5,0)

2x^2-5x+3\\\frac{5(+ or -)\sqrt{(-5)^2-(4)(2)(3)}  }{2(2)} \\\frac{5(+ or -)\sqrt{25-24}  }{4}\\\frac{5(+ or -)\sqrt{1}  }{4}\\ \frac{5(+ or -)1  }{4}\\\frac{5+1}{4} or \frac{5-1}{4} \\ \frac{6}{4} =1.5  and \frac{4}{4} =1

C. Both sides will continue to increase as they go because this is an even degree quadratic equation.

D. You use the two x-intercepts to make sure it is in the correct area and since we know the end behavior all you'd have to assume is that it continues to go up so any negative answers you may accidentally receive would be incorrect.

3 0
3 years ago
Can someone help me in 1
oee [108]

Answer:

1,260 sq ft

Step-by-step explanation:

FORMULA TO FIND AREA OF A RECTANGLE: L*W, l=length, w=width

we can divide the figure into three other rectangles

rectangle one) length=20 width=10

so 20*10=200

rectangle 2) length=45, width=20

so 45*20=900

rectangle 3) length=20  width=8

so 20*8=160

now we add up the areas of the 3 rectangles to find the area of our figure

200+900+160=1,260 sq ft

hope this helps!

7 0
3 years ago
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