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2 years ago

Solve for y: y - (-10) = -41

Mathematics

1 answer:

vladimir2022 [97]2 years ago

4 0

Answer:

y = -51

Step-by-step explanation:

Apply the - (-a) = a rule.

y + 10 = -41

Subtract 10 from both sides

y + 10 = -41

-10 -10

y = -51

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I need help whats the closer 3 or 7 whats in the mittle

maks197457 [2]

34567

5 is in the middle

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3 years ago

HELP PLEASE PLEASE PLEASE!!The function f(x) = 4x – 8 is reflected across the y-axis, resulting in a new function, g(x). Write t

MaRussiya [10]

Not sure but I think g(x)= -4x -8
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2 years ago

I think of a number double it, then reduce six. The result is 20. What is the number??

MissTica

Answer:

The number is 13

Step-by-step explanation:

the equation:

$2x-6=20$

The solution.

$2x=20+6$

$x=\frac{26}{2} =13$

Hope this helps

5 0

2 years ago

Henry knows that the circumference of a circle is 56.52 inches. What is the area of the circle? (Use 3.14 for and round to the

ahrayia [7]

The area of circle is 254.34 square inches, if the circumference of a circle is 56.52 inches.

Step-by-step explanation:

The given is,

Circumference of a circle is 56.52 inches.

$\pi =3.14$

Step:1

Formula for circumference of circle is,

$Circumference, C = 2\pi r$ ........................(1)

Where, r - Radius of circle

From the given,

C = 56.52 inches

Equation (1) becomes,

56.52 = 2 $\pi$ (r)

56.52 = (2) (3.14) (r)

56.52 = 6.28 (r)

$r = \frac{56.52}{6.28}$

r = 9 inches

Step:2

Formula for area of circle,

$Area,A = \pi r^{2}$ ............................(2)

Where, r - Radius of circle

From the given,

r = 9 inches

Equation (2) becomes,

$A = \pi (9)^{2}$

= (3.14) (81)

= 254.34

Area of circle, A = 254.34 square inches

Result:

The area of circle is 254.34 square inches, if the circumference of a circle is 56.52 inches.

3 0

2 years ago

A report by the US Geological Survey indicates that glaciers in Glacier National Park, Montana, are shrinking. Recent estimates

postnew [5]

Answer

a) C

b) B

c) C, E

d) 15.5

e) 0.7

f) 67.7

Step-by-step explanation

a) A linear equation can be written as $y=mx+c$ where $m$ is the slope and $c$ is the intercept on the $y$ -axis. The slope describes how $y$ changes when $x$ changes. A negative value means the it is a decreasing change. In our case, $y$ is $A$ and $x$ is $t$ . Thus, the slope of the equation is $m=-0.062$ . This means that the area of glacier is decreasing by $0.062 \text{km}{}^2 = 62000 \text{m}{}^2$ every year since 2000.

b) The $A$ -intercept (= 16.2 $\text{km}{}^2$ ) represents the area covered when $t=0$ . But $t=0$ starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2 $\text{km}{}^2$ .

c) $A=f(t)$ means the area covered after year 2000. Setting it to 12 means the area covered after $t$ years is 12 $\text{km}{}^2$ ). $t$ is therefore the number of years since 2000 that the total area covered will be 12 $\text{km}{}^2$ ).

d) $f(12)=16.2−0.062\times12 =16.2-0.744 = =15.456 15.5 \text{km}{}^2$ to 1 decimal place.

e) The term involving $t$ represents the disappearing area. In 12 years, the disappeared area is $0.062\times12=0.744 =0.7 \text{km}{}^2$ to 1 decimal place.

f) $f(t)=16.2−0.062t =12$

$0.062t = 16.2-12 = 4.2$

$t = \dfrac{4.2}{0.062}=67.7419\ldots =67.7$ years to 1 decimal place.

8 0

3 years ago