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vlabodo [156]
3 years ago
12

How to write slope-intercept form through (-1,3) and a slope of -1

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
7 0

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have the slope m = -1 and the point (-1, 3). Substitute:

3=(-1)(-1)+b

3=1+b      <em>subtract 1 from both sides</em>

2=b\to b=2

<h3>Answer: y = -x + 2</h3>
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The legs of an isosceles triangle have lengths x + 1 and -x + 7 . The base has length 3x - 3. What is the length of the base?
In-s [12.5K]
Since you've told us that this is an isosceles triangle, we know that the 'legs' have equal length.  So we can write

                                                      x + 1 = -x + 7

Add 'x' to each side:                  2x + 1 =       7

Subtract  1  from each side:      2x       =       6

Divide each side by  2 :                x      =       3

Now, if the length of the base is   3x - 3 ,
that length is

                                   3(3) - 3  =  6  .
8 0
3 years ago
Read 2 more answers
Melissa is buying party favors to make gift bags. Supplies LTD sells a 5-pack of favors for $11.25 and Parties and More sells a
levacccp [35]

Answer:

7.5$

Step-by-step explanation:

This is because 11.25*3 = 33.75

and 8.25*5 = 41.25

41.25-33.75=7.5

8 0
3 years ago
If 5 + 6i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?​
kolezko [41]

Answer:

5-6i

Step-by-step explanation:

The complex conjugate root theorem states that if (a+bi) is a root, then (a-bi) must also be a root and vice versa.

We know that (5+6i) is a root.

Then by the above theorem, (5-6i) must also be a root.

Hence, our solution is (5-6i).

6 0
3 years ago
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Calculate the answer when the largest prime number that is a factor of 35 is multiplied by the smallest prime number that is a f
SOVA2 [1]

Answer:

21

Step-by-step explanation:

Factors of 35 = 1,5,7 and 35

Factors of 15 = 1,3,5 and 15

=> Largest prime number that is a factor of 35 = 7 (7 is a prime number)

=> Smallest prime number that is a factor of 15 = 3 ( 1 is neither a prime no. nor a composite one)

<u><em>Their Product:</em></u>

=> 7×3

=> 21

8 0
3 years ago
Evaluate the integral by reversing the order of integration. Integral from 0 to 1 integral from √x to 1 of 5/(y³+1) dydx
ELEN [110]

Answer:

⁵/₃ ln 2

Step-by-step explanation:

∫₀¹ ∫√ₓ¹ 5 / (y³ + 1) dy dx

We want to change the order of integration.  To do this, we start by graphing the region contained by the four limits.

x = 0, x = 1

y = √x, y = 1

(Notice that y = √x is the same as x = y²).

Once we've graphed the region, we need to write the domain of x in terms of y.  In this case, 0 < x < y².

Then, we find the range: 0 < y < 1.

Now we can rewrite the integral:

∫₀¹ ∫₀ʸ² 5 / (y³ + 1) dx dy

Notice that the integrand itself, 5 / (y³ + 1), does not change.  Only the limits have changed.

Solve the integral.

∫₀¹ [ 5 / (y³ + 1) x |₀ʸ² ] dy

∫₀¹ [ 5y² / (y³ + 1) ] dy

⁵/₃ ∫₀¹ [ 3y² / (y³ + 1) ] dy

(⁵/₃ ln|y³ + 1|) |₀¹

⁵/₃ ln|1³ + 1| − ⁵/₃ ln|0³ + 1|

⁵/₃ ln 2

7 0
3 years ago
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