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Jet001 [13]
3 years ago
6

Simplify: 73 - 2 × (4 - 1)2 A. 639 B. 55 C. 61 D. 426

Mathematics
1 answer:
ad-work [718]3 years ago
5 0

Answer:

55

Step-by-step explanation:

73 - 2 × (4 - 1)^2

PEMDAS

parentheses first

73 - 2 × (3)^2

Then exponents

73 - 2 × 9

Multiply and divide from left to right

73 - 18

Add and subtract

55

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An equation parallel and perpendicular to 4x+5y=19
mestny [16]

Answer:

An equation parallel to 4x + 5y = 19 would be y = -4/5x +12.

An equation perpendicular to 4x + 5y = 19 would be y = 5/4x + 10.

Step-by-step explanation:

The equation given represents a linear equation in Standard Form (Ax + By = C).  Lines that are parallel to each other go the same direction and don't touch, so their slopes must be the same.  However, lines that are perpendicular go in opposite directions and intersect, so their slopes must be the direct opposite of each other.  In order to find the slope, you must first convert from the Standard Form given to Slope Intercept Form (y = mx +b).  When you solve the given equation for 'y', you get: y = -4/5x + 19, where the slope = -4/5.  To make a parallel equation, simply keep the same slope and choose a different y-intercept ('b').  To make a perpendicular equation, take the direct opposide of your slope 5/4 (positive) and choose a different y-intercept.  

8 0
3 years ago
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questio
nlexa [21]

The measure of angle ∠ACB is 70°. Then the correct option is C.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

∠ABC + ∠BCA + ∠CAB = 180°

        60° + ∠BCA + 50° = 180°

                           ∠BCA = 180° – 110°

                           ∠BCA = 70°

Then the correct option is C.

The complete question is given below.

Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.

The measure of ABC is 60

The measure of BAC is 50

The measure of ACB will be

a. 50

b. 60

c. 70

d. 120

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

4 0
2 years ago
Find a​ point-slope form for the line with slope
Katen [24]

Answer:

It is Third quardant in Graph

7 0
3 years ago
Working at home: According to the U.S Census Bureau, 41% of men who worked at home were college graduates. In a sample of 506 wo
sergejj [24]

Solution :

a). The point estimate of proportion of college graduates among women who work at home,

$\hat p =\frac{166}{506}$

  = 0.3281

99.5% confidence interval

$=\left( \hat p \pm Z_{0.005/2} \sqrt{\frac{\hat p (1- \hat p)}{n}} \right)$

$=\left( 0.3281 \pm 2.81 \sqrt{\frac{0.3281 \times  (1- 0.3281)}{506}} \right)$

$=(0.3281 \pm 0.0586)$

$=(0.2695, 0.3867)$

6 0
3 years ago
In the equation 5b = 45, b = 10 <br><br> True or False
professor190 [17]
The answer is falseeeeeeeee
8 0
3 years ago
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