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snow_tiger [21]
3 years ago
12

HELP FAST PLSSSS IM DESPERATE RLLY

Mathematics
2 answers:
Aleksandr [31]3 years ago
8 0
The answer is y= 1/3 x -1
kramer3 years ago
7 0
Answer : y =1/3 x -1
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The points (–1,–1) and (a,–5) fall on a line with a slope of 4. What is the value of a?<br> a=
Andreas93 [3]

Answer:

The value of a is -2

Step-by-step explanation:

We are asked to give the value of a

We are provided with some information

We are given slope to be 4

And two points ( -1 ,-1) and

( a, -5)

Given the formula for slope

m = y_2 - y_1 / x_2 - x_1

Points ( -1 , -1)

(a, -5)

x_1 = -1

y_1 = -1

x_2 = a

y_2 = -5

Inserting the values given into

m = y_2 - y_1 / x_2 - x_1

= -5 - (-1) / a - (-1)

= -5 + 1 / a + 1

= -4 / a + 1

We are given the slope to be 4

i. e. m = 4

4 = -4 / a + 1

Cross multiply

4( a + 1) = -4

Open the bracket with 4

4a + 4 = -4

Collect like terms

4a = -4 - 4

4a = - 8

Divide both sides by 4 to get the value of a

4a / 4 = -8/4

a = -2

Therefore, x_2 = -2

the value of a = -2

3 0
4 years ago
Find the slope of the curve below at the given points. Sketch the curve along with its tangents at these points. R = sin 2 theta
mr Goodwill [35]

Answer:

<u>    </u><u>-1     </u>

Step-by-step explanation:

Given that:

r = sin 2θ  , θ = ± π/4 , ± 3π/4

Recall that:

x = r cosθ

y = r sinθ

The  differential of y with respect to x

\dfrac{dy}{dx} = \dfrac{\dfrac{dy}{d \theta}}{\dfrac{dx}{d \theta}}

\dfrac{dy}{dx} =\dfrac{\dfrac{dy}{d \theta}}{\dfrac{dx}{d \theta}} = \dfrac{ r cos \theta + sin \theta* \dfrac{dr}{d \theta} } {\dfrac{dr}{d \theta} *cos \theta- sin \theta \ r}

at  θ = π/4  , r = sin π/2

r = 1

\dfrac{dy}{dx} = \dfrac{ r cos \theta + 2 cos (2 \theta)*sin \ \theta } {2 \ cos (2 \theta) *cos \theta- sin 2 \theta * sin \theta}

where;

θ = π/4

\dfrac{dy}{dx} = \dfrac{ 1 \times  cos (\dfrac{\pi}{4}) + 2 cos  (\dfrac{\pi}{2})*sin  (\dfrac{\pi}{4}) } {2 \ cos  (\dfrac{\pi}{2})*cos  (\dfrac{\pi}{4})- sin  (\dfrac{\pi}{2}) * sin  (\dfrac{\pi}{4})}

\dfrac{dy}{dx} = \dfrac{\dfrac{1}{\sqrt{2}}+0 }{0-1 * \dfrac{1}{\sqrt{2}}}

\dfrac{dy}{dx} = \dfrac{\dfrac{1}{\sqrt{2}} }{- \dfrac{1}{\sqrt{2}}}

\mathbf{\dfrac{dy}{dx} =-1}

slope of the curve (dy/dx) at theta(θ)  = pi/4 is -1

7 0
3 years ago
Need help bad! Number 21 to be exact.
alisha [4.7K]
#21)
<span>Using Pythagorean Theorem a^2 + b^2 = c^2
so
</span>a^2 = c^2 - b^2


x^2 = 42^2 - 38^2
x^2 = 1764 - 1444
x^2 = 320
 x =√320
 x = √(64 * 5)
 x = 8√5
8 0
3 years ago
Read 2 more answers
A data table shows that as the input (x) increases by 1, the output (y) decreases by 7. When x is 0, y is –2. What is the equati
Savatey [412]
X   0   1    2    ...
y  -2  -9 -16...
(y) decreases by 7/<span> (x) increases by 1, so slope =-7,
y- int=-2
this is equation c) y=-7x-2</span>
7 0
3 years ago
Someone please help me with 2
Vladimir79 [104]
X equals 41 tell me if you want me to explain how I got it
6 0
3 years ago
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