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3 years ago

Write the Equation (Slope intercept form) represented by the function table shown

Mathematics

2 answers:

DENIUS [597]3 years ago

5 0

To find slope intercept form, the formula is y=mx+b.
To find the slope, which is m, the formula is (y2 - y1) / (x2 - x1)
y2=-26
y1=-20
x2=7
x1=5

(-26--20)/(7-5)
the slope is -3

now, to find the y intercept, solve for b.
y=-3x+b

Step 1: Flip the equation.

b−3x=y
Step 2: Add 3x to both sides.

b−3x+3x=y+3xb=3x+y

use your coordinates from the table.
b=3(5)-20
b=-5
so, y=-3x-5

Margaret [11]3 years ago

4 0

Y=-3x-5

x moves by -3, -3*5=-15
20-15=-5 (y intercept)

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Which expression is equivalent to 5x + 10 y - 15

klasskru [66]

The answer is the first one because you have to multiply the outsider five to the other numbers inside the parenthesis. You don't add them or subtract them because they don't have the same variable

5 0

2 years ago

ABCD is a square. M is the midpoint of BC and N is the midpoint of CD. A point is selected at random in the square. Calculate th

almond37 [142]

Answer:

1/8 or 0.125

Step-by-step explanation:

Let x be the length of the sides of the square ABCD.

Therefore, the length of CN and CM is x/2.

The area of the triangle MCN is:

$A_t = \frac{0.5x*0.5x}{2}=\frac{x^2}{8}$

The area of the square ABCD is:

$A_s =x*x =x^2$

Thus, the probability that a random point lies in the triangle MCN is:

$P=\frac{A_t}{A_s}=\frac{\frac{x^2}{8}}{x^2}=\frac{1}{8}=0.125$

The probability that the point will lie in the triangle MCN is 1/8 or 0.125.

8 0

2 years ago

1)simplify the expression (2x)^4 2)the perimeter of a rectangular is twice the sum of its length and its width. the perimeter is

Marta_Voda [28]

$(2x)^4=16x^4$
------------------------------------------
$2(l+w)=16\\
l=2w+2\\\\
2(2w+2+w)=16\\
6w+4=16\\
6w=12\\
w=2\\\\
l=2\cdot2+2\\
l=6
$
-------------------------------------------
$-3+yi=x+6i\Rightarrow x=-3 \wedge y=6$

5 0

3 years ago

Plz help.... Ma teacher's Gon kill me.....lol

erik [133]

Answers:

1. 74856 + 1489
= 76345

2. 42000/5
= 8400

3. 142100/10
= 14210

4. 2500 + (8-5)
2500 + 3
= 2503

5. 385 + (29 - 9)
385 + 20
= 405

6. 1780 - 643
= 1137

7. 4 x 2 + 30 / 5
4 x 2 + 6
8 + 6
= 14

8. 65743 - 754
= 64989

4 0

2 years ago

A triangle was dilated by a scale factor of 6. If sin aº

Pavlova-9 [17]

Answer:

24 units

Step-by-step explanation:

A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?

triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees

15.5 units

24 units

30 units

37.5 units

From the description:

angle D measures a degrees

opposite to angle D is side EF

side DE (which measures 30 units) is the hypotenuse of the triangle.

We also know that

$\sin (a) = \frac{4}{5}$

$\sin (a) = \frac{opposite}{hypotenuse}$

From definition:

$\sin (a) = \frac{opposite}{hypotenuse}$

Replacing:

$\frac{4}{5} =\frac{ EF}{DE} \\\\EF = \frac{4}{5} *DE\\\\EF = \frac{4}{5} *30 \\\\= 24 units$

8 0

3 years ago