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ruslelena [56]
3 years ago
9

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
6 0

Answer:

-5, 5

Step-by-step explanation:

The line in this problem can be  written in the form

y=mx+q (1)

where:

m=\frac{2}{3} is the slope

q is the y-intercept

We know that the line passes through the point (-2,5), so substituting these values into eq.(1), we find the value of the y-intercept:

q=y-mx=5-(\frac{2}{3})(-2)=5+\frac{4}{3}=\frac{19}{3}

So the equation of the line is

y=\frac{2}{3}x+\frac{19}{3} (2)

Now we know that point A has coordinates

A(x,3)

So by substituting into eq.(2), we find the missing x-coordinate:

3=\frac{2}{3}x+\frac{19}{3}\\9=2x+19\\x=\frac{9-19}{2}=-5

Similarly, point B has coordinates

B(-2,y)

so substituting into eq(2), we find the missing y-coordinate:

y=\frac{2}{3}(-2)+\frac{19}{3}=5

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Answer:

b = - 5

Step-by-step explanation:

(k + a )(k + x) +  1 = k^2 + kx + ak + ax + 1

I think the way to solve this is to worry about the 36

k^s + 1 + ak should equal 36

We know that a = 2

k^2 + 1 + 2k = 36

k^2 + 2k + 1 - 36 = 0

k^2 + 2k - 35 = 0

(k + 7)(k - 5) = 0

k = -7   is the only acceptable answer. It is given that K < 0.

bx = kx + ax

b = k + a

b = - 7 + 2

b = - 5

3 0
2 years ago
Answer it please! Nobody at home will help me...
STALIN [3.7K]
The area formula for a triangle is 1/2 (base * height)
4 0
3 years ago
Giv
lesya [120]

Answer:

The corresponding point for the function  f(x - 4) is (4 , 1)

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- If the function f(x) translated horizontally to the right by h units, then

 the new function g(x) = f(x - h)  

- If the function f(x) translated horizontally to the left by h units, then

 the new function g(x) = f(x + h)  

- The given function is f(x)

- Point (0 , 1) lies on the graph of f(x)

- We need to find the corresponding point of (0 , 1) for the function

 f(x - 4)

- The function f(x - 4) means that f(x) is translated 4 units to the right

∵ x subtract by 4

∴ f(x) translated horizontally four units to the right

- If any point (x , y) translated 4 units to the right, then x-coordinate

 of the point will added by 4 to give image (x + 4 , y)

∵ The point is (0 , 1)

∴ Its image is (0 + 4 , 1)

∴ Its image is (4 , 1)

* The corresponding point for the function  f(x-4) is (4 , 1)

5 0
3 years ago
Kelsey told her hired hand Hanna to gather eggs from the henhouse. Hanna collected 30 eggs and brought
CaHeK987 [17]

Answer:

12 eggs

Step-by-step explanation:

Total no. of eggs collected=30

Percentage of eggs broken=40%

No. of eggs still good:-

40/100×30

=)0.4×30

=)12eggs

PLS MARK ME AS BRAINLIEST

5 0
2 years ago
Point (-4,-8) Reflected across the y-axis
nekit [7.7K]

Answer:

(4,-8)

Step-by-step explanation:

Where is the point on the opposite side of the y-axis?

The answer would be (4, -8)

5 0
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