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slavikrds [6]
3 years ago
14

Write the equation of a line perpendicular to y=2x-5 that passes through the point (-2,5)

Mathematics
1 answer:
yawa3891 [41]3 years ago
3 0

y = mx + b

The product of slopes of perpendicular lines is -1.  The slope of the given line is 2, so the slope of the perpendicular line is -1/2.

y = (-1/2)x + b

Now use the given point to find b and finish from here.

-5 = (-1/2)(2) + b

b = ?

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Could ΔABC be congruent to ΔADC by SSS? Explain. Yes, but only if AB ≅ DC. Yes, but only if BC ≅ DC. No, because AB is not congr
Sonbull [250]

Answer:

<em>Yes, but only if BC ≅ DC; Option B</em>

Step-by-step explanation:

There are 4 possible ways to determine whether two triangles are congruent, and they are the following ;

ASA ( Angle - Side - Angle ),

SAS ( Side - Angle - Side ),

AAS ( Angle - Angle - Side ), and

SSS ( Side - Side - Side )

It is known here that we must prove these triangles congruence through SSS. A triangle can thus be made possible through the congruence of corresponding sides;

Now if we were to create these triangles it would be that BC and DC are, if the triangles were to coincide with one another, the apparent same length if it were that these two Δs really are ≅. Thus;

<em>Solution; Yes, but only if BC ≅ DC</em>

5 0
3 years ago
Mercury is the closest planet to the sun at a distance of 36 million miles. The closest star to the sun is Proxima Centauri, whi
borishaifa [10]

Answer:

Proxima Centauri is 2.478 x 10¹³ miles from Sun.

Explanation:

 Distance of Proxima Centauri to sun = 4.24 light years

 1 light year = 5.9 x 10¹² miles.

 Distance of Proxima Centauri to sun in miles = Distance in light years x 5.9 x 10¹² miles

 So, Distance of Proxima Centauri to sun in miles = 4.2 x 5.9 x 10¹² miles

                                                                               = 2.478 x 10¹³ miles

  So Proxima Centauri is 2.478 x 10¹³ miles from Sun.

7 0
3 years ago
Question 6 of 10<br><br> f(x) = 5x + 1) – 3<br> g(x) = 4<br> Find (f - g)(x).
alexdok [17]

Answer:

Answer:

5x + 6

Step-by-step explanation:

(f-g)(x) is nothing but f(x) - g(x)

f(x) is |5x + 1| - 3 and g(x) is 4 so the equation is [|5x+1| - 3] - [4]

Once this is solved, the answer is 5x - 6. Since there's absolute value, remove the negative and change it to a positive to get the answer 5x + 6.

4 0
2 years ago
Which number has the greatest value?<br><br> A) |23|<br><br> B) |-24|<br><br> C) 25<br><br> D) -26
enot [183]
C 25.................
5 0
3 years ago
Read 2 more answers
Can you help me with this​
MrRa [10]

Answer:

p(x - 4) = x³ - 12x² + 48x - 69

Step-by-step explanation:

To evaluate p(x - 4), substitute a = x - 4 into p(a), that is

p(x - 4) = (x - 4)³ - 5

            = (x - 4)(x - 4)(x - 4) - 5 ← expand 2nd/ 3rd factors using FOIL

            = (x - 4)(x² - 8x + 16) - 5 ← distribute parenthesis

            = x³ - 8x² + 16x - 4x² + 32x - 64 - 5 ← collect like terms

           = x³ - 12x² + 48x - 69

3 0
3 years ago
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