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san4es73 [151]
3 years ago
14

Could someone please take a look at This Mathematics problem; I am certain how to explain the work, Thank you.

Mathematics
1 answer:
bearhunter [10]3 years ago
4 0
The slope of a line is found as follows:
Slope=\frac{rise}{run}
In triangle ABC the slope of the hypotenuse is 1/3.
In triangle DFA the slope of the hypotenuse is 2/6 = 1/3.
The slopes of the two hypotenuses are equal, therefore the slope of k must be constant between points C and D.
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Simplify the following expression and write it in an exponential function form.
Sergio039 [100]

Answer:

1/4 b^9

Step-by-step explanation:

(b^11 b^-7)/4b^-5

We know x^y * x^z = x^(y+z)

b^11 * b^ -7 = b^ (11-7) = b^4

(b^11 b^-7)/4b^-5

b^4 / 4 b^-5

We know x^y / x^z = x^(y-z(

b^4 / b^-5 = b^(4 - -5) = b^(4+5) = b^9

1/4 b^9

7 0
3 years ago
If f (x) =5x+40 what is f (x) when x =-5
spayn [35]
F(x)= 15 because 5 times -5 is -25 and -25+40 is 15
5 0
3 years ago
Read 2 more answers
Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60%, percent of their plants
murzikaleks [220]

That is 40% * 50

= 0.4 * 50

= 20 vegetables

4 0
4 years ago
Read 2 more answers
A number, n, is multiplied by -3/8. The product is -0.5 What is the value of n?
andrew-mc [135]

Answer:

n=4/3

Step-by-step explanation:

n*(-3/8)=-0.5

n=0.5/3/8

n=1/2 / 3/8

n=4/3

Check:

4/3*-3/8=-0.5

4/3*-3/8=-1/2

-1/2=-0/5

CORRECT!

4 0
3 years ago
I NEED HELP ASAP Find the area of the trapezoid by decomposing it into other shapes.
disa [49]

Answer:

Area of the trapezoid is 38 cm²

Step-by-step explanation:

  • Step 1: Area of the trapezoid can be found by decomposing it into 2 triangles and a rectangle.
  • Step 2: Find area of first triangle. Given base = 5 cm and height = 4 cm

Substitute in formula for area of triangle = 1/2 base * height

Area of triangle, A1 = 1/2 * 5 * 4 = 10 cm²

  • Step 3: Find area of rectangle. Given breadth = 4 cm (Same as height of triangles) Length = 6 cm. Substitute in formula for area of rectangle = length * breadth

Area of rectangle, A2 = 4 * 6 = 24 cm²

  • Step 4: Find area of second triangle. Given height = 4 cm (same as the other triangle) and base = 2 cm (8 cm - 6 cm)

Substitute in formula for area of triangle = 1/2 base * height

Area of triangle, A3 = 1/2 * 2 * 4 = 4 cm²

  • Step 5: Calculate total area = A1 + A2 + A3 = 10 + 24 + 4 = 38 cm²
7 0
3 years ago
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