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3 years ago

This system has one solution what is the y cordinate of the solution

Mathematics

1 answer:

Lerok [7]3 years ago

6 0

Answer:

y = 10

Step-by-step explanation:

Given the 2 equations

y = - 2x + 4 → (1)

y = x² + 4x + 13 → (2)

Since both equations express y in terms of x we can equate them

x² + 4x + 3 = - 2x + 4 ( subtract - 2x + 4 from both sides )

x² + 6x + 9 = 0 ← in standard form

(x + 3)² = 0 ← in factored form

x + 3 = 0 ⇒ x = - 3 with multiplicity 2

Substitute x = - 3 into (1)

y = 6 + 4 = 10

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An airplane is flying at an altitude of 26,843 feet. The plane descends (goes down) 1,284 feet. Then the plane ascends (goes up)

Liono4ka [1.6K]

Answer:

The answer is C

Step-by-step explanation:

Because it descend means goes down so it's minus and after that it ascends means goes up so it's plus so the answer will be -

26,843-1,284+5832

8 0

2 years ago

The function f(x) = –Two-sevenths (five-thirds)x is reflected over the y-axis to create g(x). Which points represent ordered pai

Marta_Voda [28]

The values of the function if the function f(x) is reflected over y-axis is g(x) = 10/21x

<h3>Reflection of coordinates</h3>

Reflection is a transformation technique that changes the position of an object on an xy-plane.

If the function f(x) is reflected over y-axis, the resulting function is y = f(-x). Given the following function;

f(x) = -2/7(5/3)x

This can also be written as;

f(x) = -10/21 x

Replace x as -x

f(-x) = -10/21(-x)

f(-x) = g(x) = 10/21x

Hence the values of the function if the function f(x) is reflected over y-axis is g(x) = 10/21x

Learn more on reflection here; brainly.com/question/26494295

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7 0

2 years ago

Find the hcf of 52 and 117 and express it in the form of 52x + 117y..<br>please helppp

harina [27]

Step by step explanation:

Hope this helps

3 0

3 years ago

Explain why any of the four operations placed between two terms 5 and -3 sqrt (8) will result in an irrational number

Gnoma [55]

Sum/difference:

Let

$x = 5 + (-3\sqrt{8}) = 5-3\sqrt{8}$

This means that

$3\sqrt{8} = 5-x \iff \sqrt{8} = \dfrac{5-x}{3}$

Now, assume that $x$ is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that $x$ was rational, which proves that the sum/difference of the two given terms was irrational

Multiplication/division:

The logic is actually the same: if we multiply the two terms we get

$x = -15\sqrt{8}$

if again we assume x to be rational, we have

$\sqrt{8} = -\dfrac{x}{15}$

But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.

7 0

3 years ago

Need answers ASAP

andrew-mc [135]

Data:
r (radius) = 14 m
h (height) = 6 m
v (volume) = ?

Formula:
$V = \pi *r^2*h$

Solving:
$V = \pi *r^2*h$
$V = \pi *14^2*6$
$V = \pi *196*6$
$\boxed{\boxed{V = 1176 \pi\:m^3}}\end{array}}\qquad\quad\checkmark$

4 0

4 years ago

This system has one solution what is the y cordinate of the solution​

This system has one solution what is the y cordinate of the solution