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3 years ago

Problem Page Simplify. −7a3a please helppp

1 answer:

5 0

Multiply them!! First multiply the numbers. $-7*3 = -21$ . But then, you have to multiply the variables. What is a times a equal to? Well, a times a is just a squared. Hence, the expression is equal to $-21 a^{2}$

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At 106°F, a certain insect chirps at a rate of 67 times per minute, and at 108°F, they chirp 83 times per minute. Write an equat

Step2247 [10]

Answer:

$y=8x-781$

Here, $x$ represents temperature and $y$ denotes rate of chirping per minute.

Step-by-step explanation:

Let $x$ represents temperature and $y$ denotes rate of chirping per minute.

At $106$ °F, a certain insect chirps at a rate of $67$ times per minute.

Take $(x_1,y_1)=(106,67)$

At $108$ °F, they chirp $83$ times per minute.

Take $(x_2,y_2)=(108,83)$

Slope intercept form:

$y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)$

$y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{16}{2})(x-106)\\\\y-67=8(x-106)\\y-67=8x-848\\y=8x+67-848\\y=8x-781$

3 0

2 years ago

Find the distance between two points ( -1,1) and (2,-4)

sladkih [1.3K]

Answer:

The distance between two points ( -1,1) and (2,-4) is:

$d=\sqrt{34}$ or d = 5.8 units.

Step-by-step explanation:

Given the points

(-1, 1)

(2, -4)

Finding the distance between (-1, 1) and (2, -4) using the formula

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

substitute (x₁, y₁) = (-1, 1) and (x₂, y₂) = (2, -4)

$=\sqrt{\left(2-\left(-1\right)\right)^2+\left(-4-1\right)^2}$

$=\sqrt{\left(2+1\right)^2+\left(-4-1\right)^2}$

$=\sqrt{3^2+5^2}$

$=\sqrt{9+25}$

$=\sqrt{34}$ units

$d = 5.8$ units

Therefore, the distance between two points ( -1,1) and (2,-4) is:

$d=\sqrt{34}$ or d = 5.8 units.

3 0

2 years ago

I don't know how to do this. Help please

ASHA 777 [7]

Here is your equation simplified

Hope it helps!

7 0

2 years ago

City university projects that planned expansion will increase the number of enrolled students every year for the next five years

Solnce55 [7]

The number of students that are expected to enroll in the fifth year of the plan is 644.

<h3>How many students are expected to enroll in the fifth year?</h3>

The formula that can be used to determine the future value of the population is:

FV = P (1 + r)^n

FV = Future value
P = Present value
R = rate of increase
N = number of years

400 x (1.1)^5 = 644

To learn more about future value, please check: brainly.com/question/18760477

#SPJ1

3 0

1 year ago

The base of a triangle exceeds the height by 6 cm if the area is 260 cm² find the length of the base and the height of the trian

N76 [4]

$Let \: the \: base \: be \: x, \: the \: height \: would \: be: \:x-6\\The \: area \: is: \:$

$\frac{x(x - 6)}{2} = 260 \\ {x}^{2} - 6x = 520 \\ {x}^{2} - 6x - 520 = 0 \\ (x + 20)(x - 26) = 0 \\x = 26$

7 0

2 years ago