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Flura [38]
3 years ago
11

Help me & I'll help you in return??Need expert answer

Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0

Answer:

(y-24)=-7(x+4)  

Step-by-step explanation:

To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:

m=\frac{y_2-y_1}{x_2-x_1}=\frac{24--53}{-4-7}=\frac{24+53}{-4+-7}=\frac{77}{-11}=\frac{-7}{1}=-7

Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.  

(y-24)=-7(x--4)

(y-24)=-7(x+4)  


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The function f(x) = x^3 − x + 4, in continuous in the interval [1, 2]. Find the value of ‘x' at which the function takes the val
valentinak56 [21]

Answer:

2

Step-by-step explanation:

Given the function

f(x) = x^3 − x + 4 in the interval [1,2]

We are to find the value of x for which f(x) = 7

Substitute f(x) = 7 into the expression as shown!

f(x) = x^3 − x + 4

7 = x^3 − x + 4

x^3 − x + 4 -7 = 0

x^3 − x - 3= 0

x^3 -x = 3

x(x²-1) = 3

x²-1 = 3 and x = 3

x² = 3+1

x² = 4

x = ±√4

x = ±2

Since x lies within the interval, [1,2] hence the value of x is 2

6 0
3 years ago
if 3/4 of one of the acute angles of a right angled tringle is 15-1/4" larger than1/6 of the other,find the acute angels
Vaselesa [24]

The acute angles in the triangle are 16.6 degrees and 73.4 degrees

<h3>How to determine the acute angles?</h3>

From the question, we have:

Triangle type = Right triangle

Let the acute angles be x and y.

So, we have:

3/4x = 1/4 + 1/6y

Multiply through by 12

9x = 3+ 2y

The sum of acute angles in a right triangle is

x + y = 90

Rewrite as

y = 90 - x

Substitute y = 90 - x in 9x = 3+ 2y

9x = 3+ 2(90 - x)

Open the brackets

9x = 3+ 180 - 2x

Evaluate the like terms

11x = 183

Divide by 11

x = 183/11 = 16.6

Substitute x = 183/11 in y = 90 - x

y = 90 - 183/11

Evaluate

y = 807/11 = 73.4

Hence, the acute angles in the triangle are 16.6 degrees and 73.4 degrees

Read more about acute angles at

brainly.com/question/347922

#SPJ1

3 0
2 years ago
What role do individuals play in a capitalist system?
Vitek1552 [10]
The very rich control the market and decide what industries to invest in or lend money too. They influence the government so that they don't have to pay very much in taxes, which would support the nation's infrastructure, & provide jobs. The middle class works hard to produce products, and also spends money on products, which helps to make the rich investors even more wealthy. The poor are typically unable to compete in a capitalist economy (for a number of reasons), & require public assistance to survive.


6 0
3 years ago
The diagonal of a cube is 28 cm. Identify the length of an edge.
asambeis [7]
So the diagonal of cube
this was a practice act question so her's the answer

look at the cube through one of the faces
you will see the diagonal as the hypotonuse of  a triangle
and also a triangle on the floor (look at attachment)
the ,diagonal is 28
a^2+b^2=28^2
a=b since it is a cube
remember that this is a 45,45 triangle so therefor
a=b=x
c=x√2 so
28=x√2
divide both sides by √2
28/(√2)=x
the diagonal on the floor is 28/(√2)
the sides of the triangle form another 45 45 90 triangle with 28/(√2) as hyponuse so
a=b=x
c=x√2=28/(√2)
solve for x
x√2=28/(√2)
divide both sides by √2
same as mujlitply both sides by 1/(√2) so
28/(√2) times 1/(√2)=28/(2)=14
the answer of 1 diagonal is 14 cm
the answer is 14cm

4 0
3 years ago
98 PTS HELP ME Where does compression often occur?
Ghella [55]

Answer:

the answer is D just did the test and got it right :]

Step-by-step explanation:

7 0
3 years ago
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