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irinina [24]
3 years ago
6

Write an equation of the line that passes through (1,2) and is parallel to the line y=−5x+4.

Mathematics
1 answer:
Mkey [24]3 years ago
6 0

Answer:

y=-5x+7

Step-by-step explanation:

if the line is parallel then the slope must be the same so you have the slope now you must use the point slope form which is y-y1=m(x-x1) m standing for the slope which is -5, y1 standing for 2, x1 standing for 1. Now plug it into the equation. y-2=-5(x-1) now solve.

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Andrei [34K]
Jamal because he has a higher percentage of shots made 78%>62%
4 0
3 years ago
Write the expression-3x2+2y2+5xy-2y+5x2-3y2 in simplest form A how many terms are in the simplified expression? B how many terms
natima [27]

Answer:

  • 4
  • 2

Step-by-step explanation:

  = x²(-3 +5) +y²(2 -3) +5xy -2y

  = 2x² -y² +5xy -2y

a) there are 4 terms in the simplified expression

b) 2 terms have negative coefficients (-y² and -2y)

5 0
3 years ago
Find the maxmium area of a rectangular plot of land which can be enclosed by rope of length 60 metres​
mario62 [17]

Answer:

225 m²

Step-by-step explanation:

If W is the width of the rectangle, and L is the length, then:

60 = 2W + 2L

A = WL

Use the first equation to solve for one of the variables:

30 = W + L

L = 30 − W

Substitute into the second equation:

A = W (30 − W)

A = 30W − W²

This is a parabola, so we can find the vertex using the formula x = -b/(2a).

W = -30 / (2 × -1)

W = 15

Or, we can use calculus:

dA/dW = 30 − 2W

0 = 30 − 2W

W = 15

Solving for L:

L = 30 − W

L = 15

So the maximum area is:

A = WL

A = (15)(15)

A = 225

3 0
3 years ago
Describe the transformation from triangle DEF to triangle D′E′F′ in the figure. Question 17 options:
Vikentia [17]

Answer:

  C)  Reflection about the origin

Step-by-step explanation:

DE points to the right and slightly down. D'E' points to the left and slightly up. The segments are parallel, not perpendicular, so represent a rotation of 180°, not 90°. If the figure were subject only to translation, these segments would point in the same direction.

The transformation is a reflection about the origin (C). (This is equivalent to a rotation of 180°.)

6 0
3 years ago
Peter leaves Mitchell's house traveling 30 mph. Mitchell leaves 15 min later, trying to catch up to peter, going 40 mph, if they
Kruka [31]

Given :

Peter velocity , P = 30 mph .

Mitchell velocity , M = 40 mph .

Mitchell leaves 15 min later .

To Find :

If they drive along the same route how long will it take Mitchell to catch Peter.

Solution :

Distance covered by Peter in 15 min .

D = 30\times \dfrac{15}{60}=7.5\ miles

Let , time taken is x .

So , distance covered b them is equal :

7.5+30\times x=40\times x\\\\x=\dfrac{7.5}{10}=0.75\ hours\\\\x=0.75\times 60\ min\\\\x=45\ min

Therefore , time taken by them is 45 minutes .

Hence , this is the required solution .

4 0
3 years ago
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