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3 years ago

What is the slope of the graph of 8x – 4y = 11?

Mathematics

1 answer:

AlekseyPX3 years ago

7 0

Y = mx + b
where m is the gradient (slope)
-4y = 11 - 8x
4y = 8x - 11
y = 2x - 11/4
m = 2

The correct answer is A.

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Pls help me with this questions

bazaltina [42]

Step-by-step explanation:

Sn = n/2 [2a + (n-1) d]

(2Sn)/ n = 2a + (n - 1) d

2a + (n-1) d = (2Sn)/n

(n-1) d = (2Sn - 2a)/n

$d = \frac{2sn \: - 2a}{(n(n - 1))}$

$d = \frac{2(sn - a)}{ {n}^{2} - n}$

$d = \frac{2(56 - 25)}{ {32}^{2} - 32}$

d = ¹/16

7a.

E = (mv²)/2 + mgh

E = m( v²/2 + gh)

E/m = v²/2 + gh

E/m - gh = v²/2

2(E/m - gh) = v²

$v = \sqrt{2( \frac{e}{m} - gh)}$

7b.

$v = \sqrt{2( \frac{4900}{20} - 9.8 \times 15)}$

v = 14 m/s

6 0

3 years ago

What is the x-value at which the graphs of y = x2 – 2x + 1 and y = x2 + 2x – 7 inter-<br> sect?

Kitty [74]

Answer:

x = 2

Step-by-step explanation:

Both equations are equal to y, so they're also equal to each other. We then set them equal to each other:

x^2 - 2x + 1 = x^2 + 2x - 7

We now do algebra to isolate x. Subtract 1 from both sides.

x^2 - 2x = x^2 + 2x - 8

Subtract 2x from both sides.

x^2 - 4x = x^2 - 8

Subtract x^2 from both sides.

-4x = -8

Divide both sides by -4.

x = 2

5 0

3 years ago

At a large automobile dealership, you take a random sample of 35 cars and determine that the average cost is $34,330. Which stat

nadya68 [22]

Answer:Btw id your on Usa Testprep the answer is d

Step-by-step explanation:

4 0

4 years ago

A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte

AleksandrR [38]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

$\angle SPR$ =Angle subtended by the statue to where you are standing.

$\angle x=\angle RPQ$ = which is unknown.

Let us begin solving now. The first step is to find the angle $\angle x$ which can be found by using the following trigonometric ratio in $\Delta PQR$ :

$tan(x)=\frac{RQ}{PQ} =\frac{21}{57}$

Which gives $\angle x$ to be:

$\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}$

Now, we know that $\angle x$ and $\angle SPR$ can be added to give us the complete angle $\angle SPQ$ in the right triangle $\Delta SPQ$ .

We can again use the tan trigonometric ratio in $\Delta SPQ$ to solve for the height of the statue, h.

This can be done as:

$tan(\angle SPQ)=\frac{SQ}{PQ}$

$tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}$

$tan(27.32^0)=\frac{h+21}{57}$

$\therefore h+21=57tan(27.32^0)$

$h\approx8.45 ft$

Thus, the height of the statue is approximately, 8.45 feet.

3 0

3 years ago

PLZZZ HELPPPP Assume line q is parallel to line m. Choose from the drop-down menus to solve for m∠6

Vikentia [17]

Answer:

1= 75 2= 60 3=180 4=45 5= vertical angles 6=45

Step-by-step explanation:

All we have to do is use supplimentary angles

For example angle 1

105+angle 1=180

angle one = 75 degrees

120+angle 2=180

angle two= 60 degrees

There 180 degreees in a triagle.

So angle 1 + angle 2+ angle 7= 180

75+60+angle 7=180

angle 7= 45 degrees

And since 6 and 7 are vertical angles, angle 6 is also 45 degrees.

8 0

3 years ago