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alisha [4.7K]
2 years ago
7

(2a-16)+(3a+18)=17 what is a?

Mathematics
1 answer:
Volgvan2 years ago
3 0

Hope this is the right answer .

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Triangle DNO has vertices at D(5, 8), N(– 3, 10), and O(– 3, 6). If vertex D is translated 4 units to the right, the best name f
prisoha [69]

Using distance between two points to find the lengths of the edges of the triangle, the correct option is:

b. Isosceles

The distance between two points, (x_1,y_1) and (x_2,y_2), is given by:

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Vertex D is translated 4 units to the right is (9,8).

The lengths of the edges are:

DN = \sqrt{(9 - (-3))^2 + (8 - 10)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}

DO = \sqrt{(9 - (-3))^2 + (8 - 6)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}

NO = \sqrt{(-3 - (-3))^2 + (10 - 6)^2} = \sqrt{0^2 + 4^2} = 4

<u>Two edges of the same length</u>, hence, it is an isosceles triangle, given by option b.

You can learn more about distance between two points at brainly.com/question/18345417

6 0
2 years ago
The scatter plot shows the number of customers in a restaurant for hours of the dinner services on two different Saturday nights
charle [14.2K]

A. The value y-intercept represent in the context of the problem is 50.

B. The slope of the line is -10.

C. The equation to represent the line is y= -10x+50.

D. The number of customers in the restaurant at 8:30pm is 35.

<u>Step-by-step explanation:</u>

The equation of the line is given by y=mx+c.

y is the number of customers and x is the hours.

7.00 p.m. is considered as 0.

To find the slope m =\frac{rise}{run}.

rise = y_{2}-y_{1}.

run = x_{2}-x_{1}.

From the graph, choose two points. Let us take (0,50) and (4,10).

m=\frac{-40}{4}.

m=-10.

∴The equation can be written as y= -10x+c.

To find the y-intercept value c, substitute any point.

Let us substitute(0,50) for instance,

50=0+c.

c=50.

The equation for the given graph is y= -10x+50.

To find the customers at the restaurant at 8.30 pm.

we know that x=0 at 7.00 pm,

∴ x=1.5 can be considered as 8.30 pm.

Substitute x=1.5 in the line equation.

y= -10(1.5)+50.

y= -15-50.

y= 35.

5 0
3 years ago
There are 25 towns in a certain country, and every pair of them is connected by a train route. How many train routes are there?
7nadin3 [17]

Answer:

13

Step-by-step explanation:

a pair=2

so 25/each pair of towns

25/2=12+1=13

5 0
3 years ago
Are there always the same number of prime numbers between 2 consecutive multiples of 10? Explain.
11111nata11111 [884]
Zenhhffv hgfcvbbbgggg
3 0
3 years ago
Read 2 more answers
A family paid $142.80,which included $6.80 in taxes,for 4 play tickets.Each ticket costs the same amount.How much did each perso
Alexandra [31]
Each persons ticket costs $34.00(D)
all you have to do is subtract $6.80 from $142.80
then you divide the answer by 4
3 0
3 years ago
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