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myrzilka [38]
3 years ago
10

What is the slope of y = -x+7

Mathematics
1 answer:
hichkok12 [17]3 years ago
7 0

Answer: -1

Step-by-step explanation:

The equation is given in slope-intercept form. Slope-intercept form is y=mx+b, where m is slope, and b is y-intercept. Since m is slope, we know that it is -1.

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which best describes your ability to calculate and describe relationships among area,perimeter and circumference
klemol [59]
Calculate circumference. You can do the math mentally with area & perimeter,but circumference is much more complex
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3 years ago
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The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side
snow_tiger [21]

Answer:

Hypotenuse = 25cm

Opposite = 24cm

Adjacent = 7cm

Step-by-step explanation:

Represent:

  • The opposite with a
  • The adjacent with b
  • The hypotenuse with c

Given that:

c = 1 + a

c = 4 + 3b

Required

Solve for a, b and c

c = c

So, we have:

1 + a = 4 + 3b

Subtract 1 from both sides

a = 4 -1 + 3b

a = 3 + 3b

Apply Pythagoras Theorem

c^2 = a^2 + b^2

Substitute 3 + 3b for a and 4 + 3b for c

(4 + 3b)^2 = (3 + 3b)^2 + b^2

Open brackets

16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2

16 + 24b+9b^2 = 9 + 18b+10b^2

Collect Like Terms

10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0

b^2 - 6b -7 = 0

Expand

b^2 +b-7b-7=0

Factorize:

b(b+1)-7(b+1) =0

(b-7)(b+1) = 0

Split:

b - 7 = 0\ or\ b+1=0

b = 7\ or\ b=-1

But the adjacent of a triangle can't have a negative measurement.

So:

b = 7

Recall that:

c = 4 + 3b

a = 3 + 3b

Substitute 7 for b in the above expressions

c = 4 + 3 * 7

c = 4 + 21

c = 25

a = 3 + 3 * 7

a = 3 + 21

a = 24

Hence, the dimensions of the triangle are:

Hypotenuse = 25cm

Opposite = 24cm

Adjacent = 7cm

5 0
3 years ago
Which of the following sets could be the sides of a right triangle?
coldgirl [10]

Answer: Choice B) {3, 5, sqrt(34)}

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

Explanation:

We can only have a right triangle if and only if a^2+b^2 = c^2 is a true equation. The 'c' is the longest side, aka hypotenuse. The legs 'a' and 'b' can be in any order you want.

-----------

For choice A,

a = 2

b = 3

c = sqrt(10)

So,

a^2+b^2 = 2^2+3^2 = 4+9 = 13

but

c^2 = (sqrt(10))^2 = 10

which is not equal to 13 from above. Cross choice A off the list.

-----------

Checking choice B

a = 3

b = 5

c = sqrt(34)

Square each equation

a^2 = 3^2 = 9

b^2 = 5^2 = 25

c^2 = (sqrt(34))^2 = 34

We can see that

a^2+b^2 = 9+25 = 34

which is exactly equal to c^2 above. This confirms the answer.

-----------

Let's check choice C

a = 5, b = 8, c = 12

a^2 = 25, b^2 = 64, c^2 = 144

So,

a^2+b^2 = c^2

25+64 = 144

89 = 144

which is a false equation allowing us to cross choice C off the list.

7 0
3 years ago
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zysi [14]
The answer is a because you divide 135÷9=15 and 102÷6=17 . 17-15=2
6 0
3 years ago
Two cones have a radius of 2 cm. The height of one cone is 8 cm. The other cone is 1/4 of that height. Which of these statements
marta [7]
The wrong statement: The volume or the smaller cone cannot be determined because its height is unknown.

We already know that the larger cone has a height of 8 cm and that the smaller cone is just 1/4 of 8 cm.

8×1/4 = 2 cm.

You can still find its volume by using the formula 1/3πr^2.
8 0
3 years ago
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