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3 years ago

Please answer the answer correctly

Mathematics

1 answer:

Tju [1.3M]3 years ago

7 0

Answer:

From (-3,0) to (3,2) the equation is y=1/3x + 1 and the other side from (3,1) to (4,-1) is y= -3x + 11

Step-by-step explanation:

Thanks for helping me with the other one

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Graph the line with slope 1 passing through the point (-5,2).

Mars2501 [29]

Answer:

(-5,2) (-7,0)

Step-by-step explanation:

5 0

3 years ago

Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant

pychu [463]

Answer:

A=152

K= -Ln(0.5)/14

Step-by-step explanation:

You can obtain two equations with the given information:

T(14 minutes) = 114◦C

T(28 minutes)=152◦C

Therefore, you have to replace t=14, T=114 and t=28, T=152 in the given equation:

$114=190-Ae^{-14k} (I) \\152=190-Ae^{-28k}(II)$

Applying the following property of exponentials numbers in (II):

$e^{a}.e^{b}=e^{a+b}$

Therefore $e^{-28k}$ can be written as $e^{-14k}.e^{-14k}$

$152=190-Ae^{-14k}.e^{14k}$

Replacing (I) in the previous equation:

$152=190-76e^{-14k}$

Solving for k:

Subtracting 190 both sides, dividing by -76:

$0.5=e^{-14k}$

Applying the base e logarithm both sides:

Ln(0.5)= -14k

Dividing by -14:

k= -Ln(0.5)/14

Replacing k in (I) and solving for A:

$Ae^{-14(-Ln(0.5)/14)}=76\\Ae^{Ln(0.5)} =76\\A(0.5)=76$

Dividing by 0.5

A=152

7 0

3 years ago

Prove that (a-b) x (a+b)=2a x b is true.<br> (a and b are vectors)

Anon25 [30]

(a-b) X (a+b)
= aXa - bXa +aXb -bXb (distributing)

Now, cross product of a vector with itself = 0
so, aXa = 0, bXb = 0

Also, aXb = - bXa

so,
(a-b) X (a+b) = 0 + aXb + aXb + 0
= 2aXb

hence, proved :)

6 0

3 years ago

Read 2 more answers

What is 56,291.8 rounded to the nearest thousand

Lorico [155]

Answer:

56,000

Step-by-step explanation:

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3 years ago

Read 2 more answers

A parallelogram has a base of 4.5 cm and an area of 9.495 cm². Tania wrote the equation 4.5x = 9.495 to represent this situation

Artist 52 [7]

Answer:

The height of the parallelogram is 2.11 cm.

Step-by-step explanation:

Area of the parallelogram is equal to multiplication of base and height.

Given:

Parallelogram has base of 4.5 cm.

Are of the parallelogram is 9.495 cm².

Equation is 4.5x=9.495

Calculation:

(a)

Are of the parallelogram is the product of base length and height of the parallelogram.

Area of the parallelogram is expressed as follow:

A=lh

Substitute 9.495 cm² for A and 4.5 cm for l in above equation as follows:

9.495=4.5h …… (1)

Now relate the equation (1) and given equation. So, here x is nothing but the height of the parallelogram.

(b)

From equation (1), height of the parallelogram is calculated as follows:

9.495=4.5h

$h=\frac{9.495}{4.5}$

h=2.11 cm

Thus, the height of the parallelogram is 2.11 cm.

5 0

3 years ago