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2 years ago

13

The equation for line 1 is

2 answers:

olganol [36]2 years ago

7 0

Answer:

The equation for line one is y = -2x - 5

valkas [14]2 years ago

6 0

Answer:

y=1x-5

Step-by-step explanation:

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The formula for converting from Celsius to Fahrenheit temperatures is F=9/5C+32

umka2103 [35]

Both the original and the inverse are functions because for each value of C there is a unique value of F and vice-versa.

i.e.
<span>B. Original is a function; inverse is a function </span>

8 0

2 years ago

Read 2 more answers

Are these triangles similar? if so, what postulate or theorem justifies that they are similar?

Karo-lina-s [1.5K]

Answer:

Yes The triangles are similar by SAS Similarity Theorem

Step-by-step explanation:

we know that

<u>Side-Angle-Side Similarity,</u> states that If an angle of a triangle is congruent to an angle of another triangle and if the included sides of these angles are proportional, then the two triangles are similar

In this problem

Angle L is congruent with Angle Z

so

Verify if the included sides are proportional

so

$\frac{LJ}{ZY}=\frac{KL}{XZ}$

substitute the values

$\frac{3}{1.5}=\frac{4}{2}$

$2=2$ -----> is true

therefore

The triangles are similar by SAS

7 0

3 years ago

Evaluate the numerical expression8×{[(7+4)×2]-[(11-7)×4]}

alina1380 [7]

Answer:

We have:

7 + 4 = 11;

11 - 7 = 4;

11 x 2 = 22;

4 x 4 = 16;

22 - 16 = 6;

Finally, 8 x 6 = 48;

Step-by-step explanation:

3 0

3 years ago

Find the slope of the line passing through the points (7, 7) and (7, -8) find the slope of the line passing through the points (

Naily [24]

Step-by-step explanation:

to work out gradient

change in y ÷ change in x

first lines gradient

(7 - - 8) ÷ (7 - 7) = 0

second lines gradient

(7 - 7) ÷ (9 - - 6) = 0

3 0

2 years ago

What is the completely factored form of f(x)=x^3+4x^2+7x+6?

Reptile [31]

we are given

$f(x)=x^3+4x^2+7x+6$

We will use rational root theorem to find factors

We can see that

Leading coefficient =1

constant term is 6

so, we will find all possible factors of 6

$6=\pm 1,\pm 2,\pm 3,\pm 6$

now, we will check each terms

At x=-2:

We can use synthetic division

we get

$f(-2)=0$

so, x+2 will be factor

and we can write our expression from synthetic division as

$f(x)=x^3+4x^2+7x+6=(x+2)(x^2+2x+3)$

$f(x)=(x+2)(x^2+2x+3)$

now, we can find factor of remaining terms

$x^2+2x+3=0$

we can use quadratic formula

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}$

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

we can compare our equation with quadratic equation

we get

$a=1,b=2,c=3$

now, we can plug these values

$x=\frac{-2+\sqrt{2^2-4\cdot \:1\cdot \:3}}{2\cdot \:1}$

$x=-1+\sqrt{2}i$

$x=\frac{-2-\sqrt{2^2-4\cdot \:1\cdot \:3}}{2\cdot \:1}$

$x=-1-\sqrt{2}i$

so, we get

$x=-1+\sqrt{2}i,\:x=-1-\sqrt{2}i$

so, we can write factor as

$x^2+2x+3=(x-(-1+\sqrt{2}i))(x-(-1-\sqrt{2}i))$

so, we get completely factored form as

$f(x)=(x+2)(x-(-1+\sqrt{2}i))(x-(-1-\sqrt{2}i))$ ...............Answer

7 0

2 years ago