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3 years ago

6

The sum of to numbers is 17, and their difference is 7. What are the two numbers?

1 answer:

Nimfa-mama [501]3 years ago

8 0

12 plus 5
jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

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Solve by factoring: x2 – 9x + 20 = 0

gayaneshka [121]

Answer:

Answer

Given equation is:

x

2

−9x+20=0

⇒x

2

−5x−4x+20=0

⇒(x−4)(x−5)=0

⇒x=4andx=5

3 0

2 years ago

Read 2 more answers

Which set of ordered pairs represents y as a function of x?

Lina20 [59]

<span>{(-1, 0), (4, 3), (-7, -3), (-1, -8)}
</span> this will be the answer

3 0

3 years ago

Read 2 more answers

HELP I NEED HELP ASAP ONEIS BRAINLY

Luba_88 [7]

Q: can you find the volume of the tank based on the opposite sides as the bases.

This one was a tricky one lol.

To find volume you need a formula:

Formula for volume varies on the shape of the object.

<span><span>Cube = a 3<span>a is the side length

</span></span><span>Rectangular prism = a * b * c<span>a, b, c are the length, width, and height

</span></span><span>Cylinder = π * r 2 * h<span><span>r is the radius of the circular base</span><span>h is the height

for this one you would need the Rectangular prism formula.

A: No you cannot find the volume because you need length, width, and height to figure out the volume of the rectangular prism.

Hope this helped! :)

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4 0

2 years ago

Based on the pattern, what are the next two terms of the sequence?<br> 7, 7/4 , 7/16 , 7/64, 7/256

IrinaVladis [17]

Answer:

7/1024 and 7/4096

Step-by-step explanation:

4×4=16

4×16=64

4×64=256

4×256=1024

4×1024=4096

hope this helps!

5 0

3 years ago

Lines k and n intersect on the y-axis

avanturin [10]

a) The equation of line k is:

$y = -\frac{202}{167}x + \frac{598}{167}$

b) The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

The equation of a line, in <u>slope-intercept formula</u>, is given by:

$y = mx + b$

In which:

m is the slope, which is the rate of change.
b is the y-intercept, which is the value of y when x = 0.

Item a:

Line k intersects line m with an angle of 109º, thus:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

In which $m_1$ and $m_2$ are the slopes of <u>k and m.</u>

Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

$m_1 = \frac{2 - (-1)}{5 - (-3)} = \frac{3}{8}$

The tangent of 109 degrees is $\tan{109^{\circ}} = -\frac{29}{10}$
Thus, the slope of line m is found solving the following equation:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

$-\frac{29}{10} = \frac{m_2 - \frac{3}{8}}{1 + \frac{3}{8}m_2}$

$m_2 - \frac{3}{8} = -\frac{29}{10} - \frac{87}{80}m_2$

$m_2 + \frac{87}{80}m_2 = -\frac{29}{10} + \frac{3}{8}$

$\frac{167m_2}{80} = \frac{-202}{80}$

$m_2 = -\frac{202}{167}$

Thus:

$y = -\frac{202}{167}x + b$

It goes through point (-2,6), that is, when $x = -2, y = 6$ , and this is used to find b.

$y = -\frac{202}{167}x + b$

$6 = -\frac{202}{167}(-2) + b$

$b = 6 - \frac{404}{167}$

$b = \frac{6(167)-404}{167}$

$b = \frac{598}{167}$

Thus. the equation of line k, in slope-intercept formula, is:

$y = -\frac{202}{167}x + \frac{598}{167}$

Item b:

Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.

Thus, the slope of line j is:

$-\frac{202}{167}m = -1$

$m = \frac{167}{202}$

Then

$y = \frac{167}{202}x + b$

Also goes through point (-2,6), thus:

$6 = \frac{167}{202}(-2) + b$

$b = \frac{(2)167 + 202(6)}{202}$

$b = \frac{1546}{202}$

The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

A similar problem is given at brainly.com/question/16302622

7 0

2 years ago