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Sergeeva-Olga [200]
2 years ago
8

For what value of x is the square of the binomial x+1 one hundred and twenty greater than the square of the binomial x-3

Mathematics
1 answer:
My name is Ann [436]2 years ago
3 0

Answer:

<u><em>x = 16</em></u>

Step-by-step explanation:

<em>(x + 1)² = (x - 3)² + 120</em>

<em>x² + 2x + 1 = x² - 6x + 9 + 120</em>

<em>8x = 128</em>

<em>x = 16</em>

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What does the line of -4 x + 3y = 6 look like
Llana [10]

Answer:

The line slopes upwards from left to right wit a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2

Step-by-step explanation:

We first rearrange the equation to the order y=mx+c where m is the gradient and c the y intercept.

3y=4x+6

y=(4/3)x+2

The gradient is therefore 4/3 and the y intercept is 2.

At the c intercept, y=0

0=(4/3)x +2

(4/3)x=-2

x=-2×3/4

=3/2

The line slopes upwards from left to right with a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2

8 0
3 years ago
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Plss help for brainlist
Elden [556K]

Answer:

<em>option</em><em> </em><em>A </em><em>is </em><em>correct</em><em> </em><em>!</em>

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5 0
3 years ago
Find the area of the shape. assume all angles are right angles
Afina-wow [57]

Answer:

Option C. 72\ yd^{2}

Step-by-step explanation:

we know that

The area of the shape is equal to the area of the complete rectangle minus the area of the inside square

so

A=(12)(9)-6^{2} =72\ yd^{2}

3 0
3 years ago
Four times a number minus twice another number is -8. The sum of the two number is 19.Find the numbers
grigory [225]
1. To solve this exercise, you must make a system of equations.

 2. You have that f<span>our times a number minus twice another number is -8:
</span>
 4x-2y=-8

 3. And t<span>he sum of the two number is 19:
</span>
 x+y=19

 4. As you can see, you have two equations:

 4x-2y=-8   (i)
 x+y=19     (ii)

 5. Let's clear the "x" from the equation (ii):

 x=19-y

 6. Now, you need to susbtitute x=19-y into the equation (i):

 4x-2y=-8
 4(19-y)-2y=-8
 76-4y-2y=-8
 76-6y=-8
 -6y=-8-76
 -6y=-84
 y=-84/-6
 y=14

 7. You must susbstitute y=14 into the equation (ii) and clear "x":

 x+y=19
 x+14=19
 x=19-14
 x=5

 The answer is: 5 and 14
6 0
3 years ago
A group of 7 students was asked, "How many hours did you watch television last week?" Here are their responses. 17, 19, 5, 17, 2
Olenka [21]

Answer:

≈ 14.3 hours

Step-by-step explanation:

The mean is calculated as

mean = \frac{sum}{count} = \frac{17+19+5+17+20+6+16}{7} = \frac{100}{7} ≈ 14.3 ( to nearest tenth )

4 0
4 years ago
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