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3 years ago

8

The map of a mall is overlaid with a numeric

1 answer:

Veseljchak [2.6K]3 years ago

3 0

Answer:

$\sqrt{118}$ <em> or 10.8627805 </em>

Step-by-step explanation:

Start by taking the difference of each value of both points

<u>Find the difference in x values </u>

78-2 = 76

<u>Find the difference in y values</u>

46-4 = 42

<u>Add the two differences </u>

76+42=118

<u>Take the square root of this value </u>

<u /> $\sqrt{118}$ <u />

You might be interested in

1 Select the correct answer. Multiply the binomials: (3x + 4)(5x - 2) A.15x2 + 20x-8b. 15x2 + 14x-8 c. 15x2- 14x-8 D. 15x2+ 14x8

leonid [27]

Multiply the binomials:

(3x + 4)(5x - 2)

$\begin{gathered} =3x(5x\text{ - 2) + 4(5x - 2)} \\ =15x^2\text{ - 6x + 20x - 8} \\ =15x^2\text{ + 14x - 8} \end{gathered}$

Final answer

Option B is the final answer

3 0

8 months ago

The LCM of two numbers is 60. Their GCf is 6 and their difference is 18. What are the two numbers?

Aliun [14]

$LCM(x,y)=60\\
GCF(x,y)=6\\
x-y=18\\\\
LCM(x,y)=\dfrac{|x\cdot y|}{GCD(x,y)}\\
60=\dfrac{|x\cdot y|}{6}\\
|x\cdot y|=360\\\\\\
|x\cdot y|=360\\
x-y=18\\\\
|x\cdot y|=360\\
x=18+y\\\\
|(18+y)\cdot y|=360\\
|18y+y^2|=360\\
18y+y^2=360 \vee 18y+y^2=-360\\
y^2+18y+81=441 \vee y^2+18y+81=-279\\
(y+9)^2=441 \vee (y+9)^2=-279\\
y+9=\sqrt{441} \vee y+9=-\sqrt{441}\\
y=21-9 \vee y=-21-9\\
y=12 \vee y=-30\\\\
x-12=18 \vee x-(-30)=18\\
x=30 \vee x=-12\\\\
\boxed{x=30, y=12 \vee x=-12, y=-30}$

4 0

3 years ago

Read 2 more answers

What is the value of x in the equation 150/84 = 25/x

Fofino [41]

Answer:

x = 14

Step-by-step explanation:

$\frac{150}{84} = \frac{25}{x} \\ \\ 150 \times x = 84 \times 25 \\ \\ x = \frac{84 \times 25}{150} \\ \\ x = \frac{84}{6} \\ \\ x = 14 \\$

5 0

3 years ago

Read 2 more answers

What are the possible rational roots of the polynomial equation?<br><br> 0=2x7+3x5−9x2+6

RoseWind [281]

Answer: $\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}$

Step-by-step explanation:

We can use the Rational Root Test.

Given a polynomial in the form:

$a_nx^n +a_{n- 1}x^{n - 1} + … + a_1x^1 + a_0 = 0$

Where:

- The coefficients are integers.

- $a_n$ is the leading coeffcient ( $a_n\neq 0$ )

- $a_0$ is the constant term $a_0\neq 0$

Every rational root of the polynomial is in the form:

$\frac{p}{q}=\frac{\pm(factors\ of\ a_0)}{\pm(factors\ of\ a_n)}$

For the case of the given polynomial:

$2x^7+3x^5-9x^2+6=0$

We can observe that:

- Its constant term is 6, with factors 1, 2 and 3.

- Its leading coefficient is 2, with factors 1 and 2.

Then, by Rational Roots Test we get the possible rational roots of this polynomial:

$\frac{p}{q}=\frac{\pm(1,2,3,6)}{\pm(1,2)}=\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}$

5 0

2 years ago

The owners of a golf course hired a company to determine how many squirrels were living on their property. First, the company pu

muminat

Answer:

Squirrel population is 440 squirrels.

Step-by-step explanation:

It is given that there are 22 squirrels are marked.

Later the company returned and counted a total of 220 squirrels of which are marked were 11.

So, we can set up proportional equation to find the squirrel population.

Let squirrel population is x.

We can set up proportional equation as

$\frac{11}{220}=\frac{22}{x}$

Cross multiply

11 x=4840

Divide both sides by 11

x=440

Best estimate is 440.

6 0

2 years ago