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aleksandr82 [10.1K]
3 years ago
14

PLEASEEEEEE HELPPPPP!!!!

Mathematics
1 answer:
trasher [3.6K]3 years ago
3 0

Answer:

Image attached

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What is 7+10x-2x-2=-3
Ivahew [28]
7+10x-2x-2=-3

—-Combine like terms...10x-2x=8x and 7-2=5

8x+5=-3
——subtract 5 on both sides.. the 5’s will cancel each other and -3-5=-8

8x=-8
——Divide 8 on both sides...the 8’s will cancel out and -8 divided by 8 = -1

Answer: x = -1
6 0
3 years ago
find the gradient of the line joining (3,7) and (6,9). Hence, find the acute angle it makes with the positive x-y axis​
stiv31 [10]

Answer:

33.7 degrees

Step-by-step explanation:

As we go from (3,7) to (6,9), x increases by 3 and y increases by 2.  Thus, the gradient (slope) of the line connecting these two points is

m = rise / run = 2/3.  Using the slope-intercept formula y = mx + b, we obtain

7 = (2/3)(3) + b, or 7 = 2 + b, so we see that b = 5 and y = (2/3)x + 5.  The y-intercept is (0, 5).

Next we find the x-intercept.  We set y = (2/3)x + 5 = to 0 and solve for x:

(2/3)x = -5, or (3/2)(2/3)x = -5(3/2), or x = -15/2, so that the x-intercept is

(-15/2, 0).  This line intersects the x-axis at (-15/2, 0).

Now look at the segment of this line connecting (-15/2, 0) and (0, 5).  Here x increases by 15/2 and y increases by 5, and so the tangent of the acute angle in question is

tan Ф = 5 / (15/2) = 10 / 15 = 2/3.

Using the inverse tangent function, we get Ф = arctan 2/3, or approx.

33.7 degrees.

I believe you meant "the acute angle it makes with the positive x-axis."​

3 0
3 years ago
Please I need help
Dimas [21]

Answer:

Step-by-step explanation:

The directrix is a vertical line, so the parabola is horizontal. The focus lies to the left of the directrix, so the parabola opens to the left.

For a left-opening parabola:

x = a(y-k)²+h,

a < 0,

vertex (h,k)

focal length p = 1/|4a|

focus (h-p, k)

directrix: x=h+p

Apply your data

focus (1,-4)

directrix x=2

vertex (1.5,-4).

focal length p = 0.5

a = -1/|4p| = -½

x = -½(y-2)²+ ½

8 0
2 years ago
Read 2 more answers
Which expression is equivalent to (2 + 3) + 5?
tamaranim1 [39]

Answer:

The answer is A.

Step-by-step explanation:

This is Associative Law, a + (b+c) = (a+b) + c .

8 0
2 years ago
What are Domain, Ranges, and Functions?​
Murrr4er [49]

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.

Step-by-step explanation:

4 0
3 years ago
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