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Blizzard [7]
3 years ago
11

What is (4x+3)(x-7)=90

Mathematics
2 answers:
gregori [183]3 years ago
8 0
(4x+3)(x-7)=90\\
Distribute\\
4x^{2}-28x+3x-21=90\\
4x^{2}-25x-21=90\\
4x^{2}-25x-101=0\\
\\
101\ is\ a\ prime\ number,\ so\ use\ the\ quadratic\ equation.\\
x= \frac{-b+-\sqrt{b^{2}-4ac}}{2a} \\
 \frac{-(-25)+-\sqrt{(-25)^{2}-4*4*(-101)}}{2*4} \\
 \frac{25+-\sqrt{625+1616}}{8} \\
x= \frac{25+-\sqrt{2241}}{8} \\
So\ x= \frac{25+\sqrt{2241}}{8}\ and x= \frac{25-\sqrt{2241}}{8} \\
These\ come\ out\ to\ be\ x=9.0424... \ and\ x=-2.7924...
Ivan3 years ago
6 0
It would be 16 i say
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HELP me.a man weighs 5/6 of his weight plus 30 pounds.what is his weight.
san4es73 [151]
X=the weight of this man
We can suggest this equation:
5x/6+30=x
least common multiple=6
5x+180=6x
5x-6x=-180
-x=-180
x=180

Answer; his weight is 180 pounds.
8 0
3 years ago
The general form of the equation of a circle is ax2 by2 cx dy e = 0, where a = b 0. if the circle has a radius of 3 units and th
aev [14]

The set of values which might correspond to the circle are A = 1, B = 1, C = 0, D = -8 and E = 7.

<h3>The equation of a circle.</h3>

Mathematically, the general form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

<u>Where:</u>

  • h and k represents the coordinates at the center.
  • r is the radius of a circle.

Based on the information provided that the center of the circle lies on the y-axis, we have:

(h, k) = (0, 4)

Radius, r = 3 units.

Substituting the given parameters into the formula, we have;

(x - 0)² + (y - 4)² = 3²

x ² + y² - 8y + 16 = 9

x ² + y² - 8y + 7 = 0.

Therefore, the set of values which might correspond to the circle are A = 1, B = 1, C = 0, D = -8 and E = 7.

Read more on circle here: brainly.com/question/1615837

#SPJ1

<u>Complete Question:</u>

The general form of the equation of a circle is Ax² + By² + Cx + Dy + E = 0, where A = B. If the circle has a radius of 3 units and the center at (0, 4), which set of values of A, B, C, D, and E correspond to the circle?

4 0
2 years ago
Write the relation as a set of on rdered pai
kirill115 [55]

The relation as a set of ordered pairs is d. {(–2, 1), (0, -1), (2, -3)}.

Step-by-step explanation:

Step 1:

First, we plot the three points on the given graph.

The coordinates are given in the following form (x coordinate, y coordinate) where the symbol of the coordinates depends on the quadrant on which the point lies.

For the first quadrant, both x and y values are positive.

For the second quadrant, the x value is negative but the y value is positive.

For the third quadrant, both the values of x and y are negative.

For the fourth quadrant, the x value is positive but the y value is negative.

Step 2:

The first point has an x value of 2 and a y value of 1 since it is in the second quadrant, the coordinates are (-2, 1).

The second point has an x value of 0 and a y value of 1 since it is in the third or fourth quadrant, the coordinates are (0, -1).

The third point has an x value of 2 and a y value of 3 since it is in the fourth quadrant, the coordinates are (2, -3).

So the coordinates are {(–2, 1), (0, -1), (2, -3)} which is option d.

6 0
3 years ago
What is the area of a circle if d =7cm​
RideAnS [48]

Answer:

49π / 4

Step-by-step explanation:

πr²

pi x radius²

radius = d ÷ 2 = 3.5

49π / 4

☺️

4 0
3 years ago
How do you check -6=b/18 when b is -108?
Tresset [83]

Answer: Substitute -108 into the place of b

Step-by-step explanation:

-6=b/18

-6=-108/18

-6=-6

You get the same answer, which makes it correct.

3 0
3 years ago
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