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3 years ago

Plz help me with this

Mathematics

1 answer:

valentinak56 [21]3 years ago

4 0

Answer:

$(x,y) = (-1,-2.5)$

Step-by-step explanation:

Let be $f(x) = \frac{(x+3)^{2}}{x-2}$ and $g(x) = \left|\frac{x}{2}\right| -3$ , we plot each curve with the help of graphic tool. In this case, we use Desmos and outcome is presented in the image attached below. Mathematically speaking, a solution to the system of equation exists when $f(x) = g(x)$ . Graphically speaking, it means that a solution exists when both curves pass through each other.

According to the graphic tool, we conclude that the only solution to the system of equations is $(x,y) = (-1,-2.5)$ .

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Which is a zero of x2 − 8 = 2x?

Nastasia [14]

Answer:

The zeros are x=4, -2

Step-by-step explanation:

Its zeros can be found by setting the function to zero. The values of x that represent the set equation are the zeroes of the function. To find the zeros of a function, find the values of x where f(x) = 0.

Hope this helped!!!!

5 0

3 years ago

A. Independent <br> B. Inconsistent <br> C. Equivalent <br> D. Consistent

tangare [24]

Answer:

B. Inconsistent (No solutions exist)

Step-by-step explanation:

The linear system that consists of parallel lines are <u><em>inconsistent</em></u><em>, </em>which means that no solutions exist.

8 0

3 years ago

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A bunch of bananas cost $4, a pineapple cost $2 more than a bunch of bananas, and 4 apples cost one-half of a pineapple.

user100 [1]

1. p=4+2
p=6
2.a=6/2
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3.4-3=x
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7 0

4 years ago

Mrs Henderson used 6 3/4 yards of fabric to make 3 identical elf costumes.

Studentka2010 [4]

The number of yards of fabric required for making 7 identical elf costumes is 15 3/4 yards.

<h3>What is a mixed number/fraction?</h3>

A mixed fraction is represented with the quotient and the remainder. So, the combination of a whole number and the proper fraction is called a mixed fraction.

Eg: 2 3/4 where 2 is the quotient and 3 is the remainder.

<h3>Calculation:</h3>

It is given that,

Mrs. Henderson used 6 3/4 yards of fabric to make 3 identical elf costumes.

Then, for making 1 costume, it requires

1 costume = 6 3/4 ÷ 3

⇒ 27/4 ÷ 3

⇒ 27/4 × 1/3

⇒ 9/4 yards

Thus, making 1 elf costume requires 9/4 yards.

Then, for making 7 identical elf costumes, it requires

7 identical elf costumes = 7 × 9/4 yards = 63/4 yards

The obtained value is expressed in the mixed fraction form as

63/4 yards = 15 3/4 yards.

Therefore, 15 3/4 yards of fabric are needed for 7 identical elf costumes.

Learn more about mixed fractions here:

brainly.com/question/21610929

#SPJ9

8 0

2 years ago

Arc CD is 2/3 of the circumference of a circle. What is the radian measure of the central angle?

Butoxors [25]

⁴/₃π radian

<h3>Further explanation</h3>

Given:

Arc CD is $\frac{2}{3}$ of the circumference of a circle.

We will measure the central angle of the circle in radians.

Step-1: measure the central angle (θ) in degrees

The full angle of a circle is 360°, thus

$\boxed{ \ \theta = \frac{2}{3} \times 360^0 \ }$

We get the degree measure of the middle angle, i.e., $\boxed{ \ \theta = 240^0 \ }$

Step-2: convert degrees to radians

Because $\boxed{ \ \pi \ radian = 180^0 \ }$ , then

$\boxed{ \ \theta = 240^0 \times \frac{\pi \ radians}{180^0} \ }$

Cross out 240° and 180° because they are equally divided by 60°.

$\boxed{ \ \theta = 4 \times \frac{\pi \ radians}{3} \ }$

Hence, the radian measure of the central angle is $\boxed{\boxed{ \ \theta = \frac{4}{3} \pi \ radians \ }}$

- - - - - - -

Quick Steps

The full angle of a circle is 2π radians.

$\boxed{ \ \theta = \frac{2}{3} \times 2 \pi \ radians \ }$

Hence, the radian measure of the central angle is $\boxed{\boxed{ \ \theta = \frac{4}{3} \pi \ radians \ }}$

One radian represents the measure of a central angle of a circle that intercepts an arc whose length equals a radius of the circle.

<h3>Learn more</h3>

What is 270° converted to radians brainly.com/question/3161884
The general form of the equation of circle with center A(-3,12) and the radius is 5 brainly.com/question/1506955
The equation represents a circle with the same radius as the circle shown but with a center at (-1, 1)? brainly.com/question/1952668

Keywords: arc CD is 2/3 of the circumference of a circle, what is the radian measure of the central angle, converts, pi, π, the full angle

6 0

3 years ago

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