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3 years ago

Write an equation of a line that passes through (-2,5)and (-3,9)

Mathematics

1 answer:

Anni [7]3 years ago

7 0

9-5 4
—— = —-
-3+2 -1
take one of the ordered pairs and you’re going to plug it into
5=-4(x+2)
5=-4x-8
-5 -5
y=-4x-13

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A professor determined the relationship between the time spent studying (in hours) and performance on an exam.

kykrilka [37]

Step 1: Insert 2.6 hours for the variable of time and solve.
70.443 + 4.885(2.6)
70.443+ 12.701
= 83.144
This is Ann's EXPECTED exam score. Because of the concert, Ann scored 16 points lower than this number.
Step 2: Subtract 16 from Ann's expected score.
83.144 - 16
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3 years ago

How many millimeters are there in 3.5 m

malfutka [58]

Answer:

3500

Step-by-step explanation:

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2 years ago

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For questions 13 – 15, find x so that q || r. State the converse used.

Grace [21]

Answer:

13. x = 7 ; Converse : Alternate interior angles are equal .

14. x=12; Converse used : Linear pair

15. x = 23; Converse: Corresponding angles are equal

Step-by-step explanation:

13.

Refer the attached figure

Given: q || r

$\angle CBE =\angle DEB$ (Alternate interior angles )

So, 15x+3=108

15x=108-3

15x=105

$x=\frac{105}{15}$

x=7

So, x = 7 ; Converse : Alternate interior angles are equal .

14.

Refer the attached figure

Given q||r

$\angle PQT = \angle STQ$ (Alternate interior angles

So, $\angle PQT = \angle STQ=11x-28$

Now $\angle UTQ + \angle STQ = 180^{\circ}$ (Linear pair)

So,7x-8+11x-28=180

18x-36= 180

18x=216

$x=\frac{216}{18}$

x=12

So, x=12; Converse used : Linear pair

15.

Refer the attached figure

Given q||r

$\angle BDC+\angle CDE = 90+2x$

$\angle BDE=\angle PBC$ (corresponding angles)

90+2x=5x+21

90-21=5x-2x

69=3x

23=x

So, x = 23; Converse: Corresponding angles are equal

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3 years ago

Find the unit vector that has the same direction as the vector v. v = 3i + j

Alchen [17]

$\bf \textit{unit vector for \underline{v}}\qquad v=\ \textless \ a,b\ \textgreater \ \implies \stackrel{unit~vector}{\cfrac{a}{\sqrt{a^2+b^2}}~,~\cfrac{b}{\sqrt{a^2+b^2}}}\\\\
-------------------------------\\\\
v=3i+j\implies v=\ \textless \ 3,1\ \textgreater \ \implies \stackrel{unit~vector}{\cfrac{3}{\sqrt{3^2+1^2}}~,~\cfrac{1}{\sqrt{3^2+1^2}}}
\\\\\\
\left( \cfrac{3}{\sqrt{10}}~,~\cfrac{1}{\sqrt{10}} \right)$

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3 years ago

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What additional information can be used to prove

Fofino [41]

A. You would be able to prove it by SSS. One side is already said to be congruent and the other is shared by both.

8 0

3 years ago