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4 years ago

Evaluate the expression when a = 2 and b = 4. 6a – 2b + 5

Mathematics

2 answers:

Serggg [28]4 years ago

5 0

the answer is 6(2) - 2(4) + 5

answer: 9

baherus [9]4 years ago

5 0

A=2
b=4
-----

6a-2b+5
6(2)-2(4)+5
12-8+5
4+5
9

Your answer is 9

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Given segments AB and CD intersect at E.

nata0808 [166]

The length of a segment is the distance between its endpoints.

$\mathbf{AB = 3\sqrt{2}}$
AB and CD are not congruent
AB does not bisect CD
CD does not bisect AB

(a) Length of AB

We have:

$\mathbf{A = (1,2)}$

$\mathbf{B = (4,5)}$

The length of AB is calculated using the following distance formula

$\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

So, we have:

$\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}$

$\mathbf{AB = \sqrt{18}}$

Simplify

$\mathbf{AB = 3\sqrt{2}}$

(b) Are AB and CD congruent

First, we calculate the length of CD using:

$\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

Where:

$\mathbf{C = (2, 4)}$

$\mathbf{D = (2, 1)}$

So, we have:

$\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}$

$\mathbf{CD = \sqrt{9}}$

$\mathbf{CD = 3}$

By comparison

$\mathbf{CD \ne AB}$

Hence, AB and CD are not congruent

(c) AB bisects CD or not?

If AB bisects CD, then:

$\mathbf{AB = \frac 12 \times CD}$

The above equation is not true, because:

$\mathbf{3\sqrt 2 \ne \frac 12 \times 3}$

Hence, AB does not bisect CD

(d) CD bisects AB or not?

If CD bisects AB, then:

$\mathbf{CD = \frac 12 \times AB}$

The above equation is not true, because:

$\mathbf{3 \ne \frac 12 \times 3\sqrt 2}$

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

7 0

3 years ago

If a bike tire has a diameter of 72 inches what is the circumference

vesna_86 [32]

Answer:

circumference = diameter * PI which is 3.14159 ...

circumference = 72 * 3.14159 ...

circumference = 226.19467 inches

Step-by-step explanation:

6 0

3 years ago

The supports of a wooden table have the shape of a right triangle if the measurement of one of the angles is 23°

Natali [406]

Answer:

67 degrease

Step-by-step explanation:

angle #1 = 23

angle #2 = 90

angle #3 = ?

#1 + #2 + #3 = 180

23 + 90 + ? = 180

180 - (23 + 90) = ?

180 - 113 = ?

? = 67

5 0

3 years ago

Need help please, please make it simple i just need the answer no explination.

Veronika [31]

Answer:

$\frac{6}{7}$ * $\frac{7}{6}$ = $\frac{42}{42}$ = 1

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A local university has just received a shipment of 200 Wacom tablets from an area vendor. The probability of an Wacom tablet bei

Igoryamba

Answer:

0.4629

Step-by-step explanation:

Using the binomial probability relation :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Number of trials, n = 25

Probability of having defective tablet greater than 3 p(x ≥ 3) ;

p = 0.10 ;

1 - p = 1 - 0.10 = 0.90

P(x ≥ 3) = P(x = 3) + p(x = 4) +.... + p(x = 25)

Using a binomial probability calculator :

P(x ≥ 3) = 0.4629

Therefore, the probability that shipment would be sent back to the vendor is 0.4629

5 0

3 years ago