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3 years ago

Question 23) Triangle PQR Triangle XYZ PQ = 3a + 4 and XY = 5a - 12. Find a and PQ.

Mathematics

1 answer:

uysha [10]3 years ago

4 0

A=8 and PQ=28.

the way I solved the problem is attached. hope this helped.

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Line MN passes through points M(4, 3) and N(7, 12). If the equation of the line is written in slope-intercept form, y = mx + b,

seropon [69]

Answer:

-9

Step-by-step explanation:

What b represents here is the y intercept.

The first thing we will do here is to find the slope.

Mathematically;

m = (y2-y1)/(x2-x1)

Plugging the values;

m = (12-3)/(7-4) = 9/3 = 3

The equation can thus be written as;

y = 3x + b

To get b, we can use any of the points since they lie on the line

Let’s use point M

Substitute the values of x and y in the equation

3 = 3(4) + b

3 = 12 + b

b = 3-12 = -9

3 0

3 years ago

Read 2 more answers

Are these ratios equivalent?<br> 1 teacher to 9 students<br> 5 teachers to 45 students

IrinaVladis [17]

Answer: yes the ratios 1:9 and 5:45 are equivalent.

Step-by-step explanation:

1:9*5:5=5:45

U got any more math questions that I can answer? I’m really bored and I have to stay busy!

3 0

3 years ago

Drag tiles to fill in the blanks to complete the expression that could be used to predict the number of winners of a game. Tiles

ziro4ka [17]

Answer:

First blank - A)Total Number of Possible Outcomes

Second blank - B)Number of Winners

Step-by-step explanation:

The exact question is as follows :

We know that,

Probability of an event is equals to Total number of Favorable outcomes divided by Total number of outcomes

So,

P(event) = Number of favorable outcomes ÷ Total Number of Possible Outcomes

As we have to predict the Number of winners of a game

So,

P(Number of winner) = Number of winners ÷ Total number of Contestants

∴ we get

P(event) = Number of favorable outcomes ÷ Total Number of Possible Outcomes

= Number of winners ÷ Total number of Contestants

4 0

3 years ago

Solve 3x2 + 17x - 6 = 0.

geniusboy [140]

$3x^2 + 17x - 6 = 0\\
3x^2-x+18x-6=0\\
x(3x-1)+6(3x-1)=0\\
(x+6)(3x-1)=0\\
x=-6 \vee x=\dfrac{1}{3}$

7 0

3 years ago

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Write the equation for a rational function with a hole at x = 6 and

Kisachek [45]

Answer:

x-6/x²-x-30

Step-by-step explanation:

(x-6)(x+5)

x²-x-30

when you factor out x-6 you have a removable discontinuity and you have x+5 as your denominator and that would be the vertical asymptote since you can have a 0 as your denominator the V.A. would be x = -5.

6 0

3 years ago