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2 years ago

Write an equation of the line that passes through point (-8, – 5) and has the slope m= - 1/4 y=

Mathematics

1 answer:

zmey [24]2 years ago

5 0

Answer:

y= -1/4x + 3

Step-by-step explanation:

y-y1 = m(x-x1)

(-8 {x1}, -5 {y1}, -1/4 [m] )

We'll then replace the letters with the available figures.

y-[-5] = -1/4 (x-[-8])

We are made to know that minus + minus= plus

Minus + plus= Minus

Minus x minus = plus

minus x plus = minus

Therefore, the mathematical setting of this question becomes,

y+5 = -1/4 (x+8)

Multiply everything in the bracket with the outside value

-1/4 x X = -1/4x

-1/4 x 8 = -2

The mathematical setting then becomes,

y+5 = -1/4x + -2 (Note: plus + minus = minus)

so, it becomes

y+5 = -1/4x - 2

The equation is supposed to look like this, y= mx + b

Therefore we add +5 to both sides to cancel out

y+5 = -1/4x - 2

+5 +5

+5 cancels out +5 which makes the setting,

y= -1/4x - 2 +5 (-2+5 goes around to become 5-2= 3)

The expression now looks like this

y= -1/4x +3 which is the final answer!

$y= -1/4x + 3$

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I need help with is problem.

ad-work [718]

Step-by-step explanation:

A function f(x) can be scaled by a factor of "a" and translated by (h,k) by the relation:

f(x) -> a f(x-h)+k

substitute f(x) by sqrt(x), then

sqrt(x) -> a*sqrt(x-h) + k

So the given equation is derived from f(x) = sqrt(x), hence a radical function.

8 0

3 years ago

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One number is one-third a second number. if the sum of the numbers is 48, find the numbers.

Gnoma [55]

First number assume A

Second number assume B

A= 1/3B ==> B= 3A

A+B = 48 ==> A+ 3A= 48

4A= 48 ==> A= 12

B= 3A= 36

8 0

3 years ago

Two dice are rolled. Determine the probability of the following: rolling a 6 or doubles

gtnhenbr [62]

Answer as an exact fraction = 5/18

Answer as an approximate decimal = 0.2778

Answer as an approximate percentage = 27.78%

============================================================

Explanation:

x = result of the first die

y = result of the second die

(x,y) paired together shows the results of both dice at the same time.

Something like (x,y) = (4,2) means we got 4 on the first die and 2 on the second die.

--------

Let's list the ways of rolling a 6

(1,5)
(2,4)
(3,3)
(4,2)
(5,1)

There are 5 ways to roll a 6. Each pair listed has the property x+y = 6.

--------

List all the ways of getting doubles

(1,1)
(2,2)
(3,3)
(4,4)
(5,5)
(6,6)

There are 6 ways to roll doubles. Each pair mentioned has x = y.

--------

We have 5+6 = 11 items listed above. However, there are only 10 unique pairs though because (3,3) was listed twice. So we could say 5+6-1 = 11-1 = 10.

This is out of 6*6 = 36 different ways to roll the two dice. The probability is therefore 10/36 = 5/18.

Using a calculator, 5/18 = 0.2778 = 27.78%

7 0

3 years ago

Guys plzzz help me i don't know how to figure out this question 10(6x+7)=26

Mekhanik [1.2K]

What is x
First you use distributive property
60x+70=26
Next subtract 70 on both sides which gives you -44
60x=-44
Then you divide 60 into -44 which will give you -1.36__36 is repeathing
so X=-1.36 repeading

7 0

3 years ago

The curved surface area of a right circular cylinder of height 14 cm is 88 cm².

Slav-nsk [51]

Answer:

The diameter of the base of the cylinder is 2 cm.

Step-by-step explanation:

GIVEN :

As per given question we have provided that :

➣ Height of cylinder = 14 cm
➣ Curved surface area = 88 cm²

$\begin{gathered}\end{gathered}$

TO FIND :

in the provided question we need to find :

➠ Radius of cylinder
➠ Diameter of cylinder

$\begin{gathered}\end{gathered}$

USING FORMULAS :

$\star{\underline{\boxed{\sf{\purple{Csa = 2 \pi rh}}}}}$

$\star{\underline{\boxed{\sf{\purple{d = 2r}}}}}$

➛ Csa = Curved surface area
➛ π = 22/7
➛ r = radius
➛ h = height
➛ d = diameter

$\begin{gathered}\end{gathered}$

SOLUTION :

Firstly, finding the radius of cylinder by substituting the values in the formula :

$\begin{gathered} \qquad{\longrightarrow{\sf{Csa = 2 \pi rh}}} \\ \\ \qquad{\longrightarrow{\sf{88 = 2 \times \dfrac{22}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{\cancel{7}}\times r \times \cancel{ 14}}}} \\ \\ \qquad{\longrightarrow{\sf{88 =44 \times r \times 2}}} \\ \\ \qquad{\longrightarrow{\sf{88 =88 \times r}}} \\ \\ \qquad{\longrightarrow{\sf{r = \frac{88}{88}}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\pink{r = 1 \: cm}}}}}} \end{gathered}$

Hence, the radius of cylinder is 1 cm.

———————————————————————

Now, finding the diameter of cylinder by substituting the values in the formula :

$\begin{gathered} \qquad{\longrightarrow{\sf{d = 2r}}} \\ \\ \qquad{\longrightarrow{\sf{d = 2 \times 1}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\red{r = 2 \: cm}}}}}}\end{gathered}$

Hence, the diameter of the base of the cylinder is 2 cm.

$\rule{300}{2.5}$

3 0

2 years ago

Read 2 more answers