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Anna71 [15]
3 years ago
15

What equation passes through the point (4,3) and is perpendicular to the y-axis

Mathematics
1 answer:
Ksju [112]3 years ago
8 0

Answer:

y=3

Step-by-step explanation:

perpendicular line to Y-axis passing through any point (m,n) is of the form

y=n

so the answer is

y=3

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Herr is the question and pic for the last question its 2
nevsk [136]
To find the area of the triangle you would have to plug in the numbers for this equation: A= Hxb/2
So in your case 14x10/2
140/2= 70 and that would be your answer. Answer:G
3 0
4 years ago
Find the area and round to the nearest hundredth??
bagirrra123 [75]

Answer:

total area = 193.31 m²

Step-by-step explanation:

rectangle area = 7 x 15 = 105 m²

semi circle area = (3.14)(7.5²)/2 = 88.31 m²

total area = 105 m² + 88.31 m² = 193.31 m²

8 0
3 years ago
The product of (3 − 4i) and____is 25.
LiRa [457]

(3-4i)(a+bi)=25\qquad\text{use FOIL method}\\\\(3)(a)+(3bi)+(-4i)(a)+(-4i)(bi)=25+0i\\\\3a+3bi-4ai-4bi^2=25+0i\\\\3a+3bi-4ai-4b(-1)=25+0i\\\\3a+3bi-4ai+4b=25+0i\\\\(3a+4b)+(3b-4a)i=25+0i\\.\qquad\qquad\qquad\qquad\Downarrow\\\\3a+4b=25\ and\ 3b-4a=0\\\\3b-4a=0\qquad\text{add 4a to both sides}\\\\3b=4a\qquad\text{divide both sides by 3}\\\\b=\dfrac{4}{3}a\qquad\text{substitute it to the first equation}\\\\3a+4\left(\dfrac{4}{3}a\right)=25\\\\3a+\dfrac{16}{3}a=25\qquad\text{multiply both sides by 3}

9a+16a=75\\\\25a=75\qquad\text{divide both sides by 25}\\\\\boxed{a=3}\qquad\text{put the value of a to}\ b=\dfrac{4}{3}a:\\\\b=\dfrac{4}{3}(3)\\\\\boxed{b=4}\\\\Answer:\ \boxed{(3-4i)\underline{(3+4i)}=25}

6 0
3 years ago
For the following paired data, (1) Calculate the correlation coefficient, r, and (2) at the 0.05 significance level, determine w
expeople1 [14]

Answer:

Linear correlation exists

Step-by-step explanation:

Given the data :

X : | 2 4 5 6

Y : | 6 9 8 10

Using technology to fit the data and obtain the correlation Coefficient of the regression model,

The Correlation Coefficient, r is 0.886

To test if there exists a linear correlation :

Test statistic :

T = r / √(1 - r²) / (n - 2)

n = number of observations

T = 0.886 / √(1 - 0.886²) / (4 - 2)

T = 0.866 / 0.3535845

T = 2.449

Comparing Pvalue with α

If Pvalue < α ; Reject H0

Pvalue = 0.1143

α = 0.05

Pvalue > α ; We reject the null and conclude that linear correlation exists

7 0
3 years ago
What is the equation of a line that is parallel to 2x+3y=3 and passes through the point (3, −4) ?
kari74 [83]
The correct answer in my opinion is 2x+3y= -6 <span />
3 0
4 years ago
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