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3 years ago

Three different rectangles have an area of 20. What are the possible whole-number dimensions of the rectangles?

1 answer:

4 0

L = 20 W = 1
L = 10 W = 2
L = 5 W = 4

Study this carefully. It's a good problem to know how to do. The ancients solved problems by using this method. They started with biggest number they could on the left and multiply each number on the right as they went down (in this case by 2).

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The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The

Kamila [148]

Answer:

the original area is 64ft squared or 169ft squared more perdurable 64

Step-by-step explanation:

(x-2)(x+7)=90

x^2 +5x -14=90

x^2 +5x -14 -90=90-90

x^2 +5x -104=0

factor it out

(x−8)(x+13)=0

so 8 or -13

4 0

3 years ago

Please explain your answer step by step thankyou

MaRussiya [10]

65
40
75

Mark brainliest please

3 0

2 years ago

Given that P = (-7, 16) and Q = (-8, 7), find the component form and magnitude of vector QP .

Katyanochek1 [597]

Answer:

a)The component form is

$\vec {QP}=\binom{ - 1}{ - 8}$

b)The magnitude is √65

c) <2,14>

Step-by-step explanation:

Recall that:

$\vec {QP}=\vec {OP}-\vec{OQ}$

We substitute the position vectors to get:

$\vec {QP}=\binom{ - 8}{7} - \binom { - 7}{15}$

We subtract the corresponding components to obtain:

$\vec {QP}=\binom{ - 8 - - 7}{7 - 15}$

This gives:

$\vec {QP}=\binom{ - 8 + 7}{7 - 15}$

This simplifies to:

$\vec {QP}=\binom{ - 1}{ - 8}$

The magnitude of a vector in the component form:

$\binom{x}{y}$

$\sqrt{ {x}^{2} + {y}^{2} }$

This means:

$|\vec {QP}|= \sqrt{ {( - 1)}^{2} + {( - 8)}^{2} }$

This simplifies to:

$|\vec {QP}| = \sqrt{ 1 + 64 }$

$|\vec {QP}| = \sqrt{ 65 }$

c) We have the vectors u = <4, 8>, v = <-2, 6>.

We want to find:

u+v

This implies that:

u+v=<4,8>+<-2,6>

We add the corresponding components to get;

u+v=<4+-2,8+6>

This simplifies to:

u+v=<2,14>

7 0

3 years ago

Annie paid $7.98 for a six-pack of bottled iced tea. What is the unit price for the iced tea.

navik [9.2K]

Answer:

1.33

Step-by-step explanation:

7.98 divided by 6 = 1.33

6 goes into 7 once then 7-6= 1 bring down the 9. 6 goes in 19 3 times 19-18=1 bring the 8 down then 6 goes into 18 3 times.

4 0

3 years ago

A. Find the linear approximating polynomial for the following function centered at the given point a. b. Find the quadratic appr

Tema [17]

Answer:

a. p1(x) = 2 - x

b. p2(x) = x² - 3*x + 3

c. p1(0.97) = 1.03; p2(0.97) = 1.0309

Step-by-step explanation:

f(x) = 1/x

f'(x) = -1/x²

f''(x) = 2/x³

a = 1

a. The linear approximating polynomial is:

p1(x) = f(a) + f'(a)*(x - a)

p1(x) = 1/1 + -1/1² * (x - 1)

p1(x) = 1 - x + 1

p1(x) = 2 - x

b. The quadratic approximating polynomial is:

p2(x) = p1(x) + 1/2 * f''(a)*(x - a)²

p2(x) = 2 - x + 1/2 * 2/1³ * (x - 1)²

p2(x) = 2 - x + (x - 1)²

p2(x) = 2 - x + x² - 2*x + 1

p2(x) = x² - 3*x + 3

c. approximate 1/0.97 using p1(x)

p1(0.97) = 2 - 0.97 = 1.03

approximate 1/0.97 using p2(x)

p2(0.97) = 0.97² - 3*0.97 + 3 = 1.0309

7 0

3 years ago