The equation of a line is y=mx+ 4. What is the value of m if the line passes through point (−3, 7)?

Answers

Answer 1

Answer:

m= -1

Step-by-step explanation:

plug in the coordinate (-3, 7) into y=mx+4 where (x, y)

7=-3m+4

solve for m and you get -1

:)

Answer 2

Answer:

[tex]\huge\boxed{m=-1}[/tex]

Step-by-step explanation:

We have

[tex]y=mx+4\\\\(-3,\ 7)[/tex]

Put the coordinates of the given point to the equation of the line:

[tex](-3,\ 7)\to x=-3,\ y=7\\\\7=-3m+4\qquad|\text{subtract 4 from both sides}\\\\7-4=-3m+4-4\\\\3=-3m\qquad|\text{divide both sides by (-3)}\\\\\dfrac{3}{-3}=\dfrac{-3m}{-3}\\\\-1=m\to m=-1[/tex]


Related Questions

Find the slope… and can u explain how u got it.. mark brainliest:)

Answers

Answer:

slope is (1,1) (0,3) just count number of squares, if there was an equation involved use y=mx+b

Step-by-step explanation:

Triangle A (1, 1), B (4, 4), C (6, 2) is a: Group of answer choicesIsosceles triangle Right triangle Acute triangle None of the other answers are correct Equilateral triangle

Answers

Answer:

Since [tex]AB \neq BC \neq AC[/tex] and [tex]\cos B = 0[/tex], we conclude that given triangle is a right-angled and scalene.

Step-by-step explanation:

First, we determine the lengths of sides [tex]AB[/tex], [tex]BC[/tex] and [tex]AC[/tex] by the Equation of the Line Segment, which is based on the Pythagorean Theorem:

Line segment AB

[tex]AB = \sqrt{(4-1)^{2}+ (4-1)^{2}}[/tex]

[tex]AB = 3\sqrt{2}[/tex]

Line segment BC

[tex]BC = \sqrt{(6-4)^{2}+(2-4)^{2}}[/tex]

[tex]BC = 2\sqrt{2}[/tex]

Line segment AC

[tex]AC = \sqrt{(6-1)^{2}+(2-1)^{2}}[/tex]

[tex]AC = \sqrt{26}[/tex]

And the angles are found by means of the Law of Cosine:, where acute angles exist when [tex]0 < \cos \theta < 1[/tex], whereas obtuse angles exist for [tex]-1 < \cos \theta < 0[/tex].

Angle A

[tex]BC^{2} = AB^{2} + AC^{2} - 2\cdot AB\cdot AC \cdot \cos A[/tex] (1)

[tex]\cos A = \frac{BC^{2}-AB^{2}-AC^{2}}{-2\cdot AB\cdot AC}[/tex]

[tex]\cos A = \frac{8-18-26}{-2\dot (3\sqrt{2})\cdot (\sqrt{26})}[/tex]

[tex]\cos A = 0.832[/tex]

Angle B

[tex]AC^{2} = AB^{2} + BC^{2} - 2\cdot AB\cdot BC\cdot \cos B[/tex] (2)

[tex]\cos B = \frac{AC^{2}-AB^{2}-BC^{2}}{-2\cdot AB\cdot BC}[/tex]

[tex]\cos B = \frac{26-18-8}{-2\cdot (3\sqrt{2})\cdot (2\sqrt{2})}[/tex]

[tex]\cos B = 0[/tex]

Angle C

[tex]AB^{2} = AC^{2}+BC^{2}-2\cdot AC\cdot BC\cdot \cos C[/tex] (3)

[tex]\cos C = \frac{AB^{2}-AC^{2}-BC^{2}}{-2\cdot AC\cdot BC}[/tex]

[tex]\cos C = \frac{18 -26-8}{-2\cdot (\sqrt{26})\cdot (2\sqrt{2})}[/tex]

[tex]\cos C = 0.555[/tex]

Since [tex]AB \neq BC \neq AC[/tex] and [tex]\cos B = 0[/tex], we conclude that given triangle is a right-angled and scalene.

41X - 164 =
1271 Find X

Answers

41x - 164 = 271

x = 35

Answer:

x= 35

Step-by-step explanation:

1271 + 164 = 1435

1435/41 = 35

please do this asap, i am in a really quick need, just type the answer, process is not required, i got -27, and i am pretty sure about this being wrong

Answers

Answer:

The answer is 3

Step-by-step explanation:

How do you write 4.7x10^1 in standard form?

Answers

Answer:

Hello I am here to help!!

Step-by-step explanation:

The answer is 47

It's written as 47! <3

- 13.4h + 4.2h
It’s the last one pls help

Answers

Answer:

The correct answer is -9.2h

Answer:

-9.2h i hope you can use it

If the length of a rectangular television screen is 40 inches and its height is 30 inches, what is the length of its diagonal, in inches?

Pls help me its due in a hour :(

Answers

Answer:

50 inches

Step-by-step explanation:

30²+40² = c² (c²= diagnol)

900+ 1600 = √2500

√2500 = 50

This is also a pythagorean triple (30,40,50).

The answer is 50 inches

When tossing a 6-sided die, the probability of tossing a multiple of 3 is 1/3. If you toss the die 70 times, about how many times would you expect to toss a multiple of 3?

Answers

Answer:

23.33 (rounded down 23)

Step-by-step explanation:

which statement best compares the volumes of the two rectangular prisms

Answers

Answer:

The volume of prism A is the same as the volume of prism B.

Step-by-step explanation:

Given

See attachment for prisms

Required

Compare the volume of both

First, we calculate the volume of both prisms.

Prism A is a rectangular prism.

So, its volume is:

[tex]V_A = Length * Base * Height[/tex]

Where

[tex]Length \to a[/tex]

[tex]Base \to b[/tex]

[tex]Height \to h[/tex]

So:

[tex]V_A = abh[/tex]

For Prism B, we have:

[tex]Volume = Base\ Area * Height[/tex]

Where

[tex]Base\ Area = Length * Base[/tex]

and

[tex]Length = a[/tex]

[tex]Base = b[/tex]

So:

[tex]Base\ Area = a * b[/tex]

[tex]Base\ Area = a b[/tex]

The volume is then calculated as:

[tex]Volume = Base\ Area * Height[/tex]

[tex]V_B = ab * Height[/tex]

Where

[tex]Height \to h[/tex]

So:

[tex]V_B = ab * h[/tex]

[tex]V_B = abh[/tex]

By comparison:

[tex]V_A = V_B = abh[/tex]

Estimate the perimeter and the area of the shaded figure to the nearest whole number in square units.

Answers

Answer:

perimeter= 8+8=16 units

area = 16+8=24 sq units

Please dont skip!! Answer please. Will give branliest. NO LINKS PLZ

Answers

Answer:

Solution given:

area of semi circle h=½πr²=½×π×5²=39.27in²

area of rectangle EFHI=l×b=6×3=18in²

area of rectangle CDFG=l×b=17×2=34in²

Total area: 39.27+18+34=91.27 square inches

Area of upper right rectangle

3(6)18in²

Area of top rectangle(square actually)

2(2)4in²

Area of bottom rectangle

5(2)10in²

Area of semicircle

πr²/2π(6+4/2)²/2π25/212.25π38.465in²

Area of middle rectangle

2(10)20in²

Total

18+4+10+38.465+2090.465in²

For each triangle find the missing length. Around your answer to the nearest tenth. Then find the area and the perimeter.

Answers

Step-by-step explanation:

I wish I could help but I can't see clearly

Which of the following are possible rational roots of the polynomial function? Check all that apply. F(x) = 5 x2-3x+3
A. ±3
B. ±1
C. ±1/3
D. ±5
E. ±1/5​

Answers

The possible rational roots are (a) ±3, (b) ±1, (e) ±5

How to determine the possible roots?

The polynomial function is given as:

f(x) = 5x^2 - 3x + 3

Take the factors of the first term and the last term

5 = 1, 5

3 = 1, 3

The rational root is then calculated using:

Roots =±(Factors of 3)/(Factors of 5)

This gives

Roots =±(1, 3)/(1, 5)

Solve the expression

Roots = ±1, ±3/5, ±1/5, ±3

Hence, the possible rational roots are (a) ±3, (b) ±1, (e) ±5

Read more about rational roots at:

https://brainly.com/question/17754398

#SPJ1

The lateral area of a cylinder is 100pi in^2. If its dimensions are reduced to one-fifth their original length, what would its new area be?

Answers

Answer:

4pi in^2

Step-by-step explanation:

Lateral surface area of a cylinder = 2πrh

π = pi

r = radius

h = height

Let me illustrate with an example

A cylinder has the following dimensions

r = radius = 20  

h = height  = 10

lateral area = 2 x π x 20 x 10 = 400π

If dimensions are reduced to one-fifth their original length, new dimensions are

r = radius = 20  x 1/5 = 4

h = height  = 10 x 1/5 = 2

New lateral area = 2 x 4 x 2 x π = 16π

change in lateral area = 400π / 16π = 25

If dimensions are reduced by 1/5, lateral area would reduce by 25

100 pi / 25 = 4

The queen of hearts, queen of diamonds, queen of spades, and queen of clubs are taken out of a deck of cards. They are to be put in 3 places on a table. In how many different ways can they be placed in the 3 spots?


24
8
96
12

Answers

Answer:

24

Step-by-step explanation:

The table shows the relationship between the number of cups and total volume of lemonade served.
Cups of Total. Volume Lemonade Served
2 (ounces)
3 16
4 24
32
How many ounces is served per cup of lemonade?
Enter the answer in the box.
ounces per cup=​

Answers

Answer: 8

Step-by-step explanation:

2 cups = 16

Half of the 16 is 8

please help me out with this problem. will give thanks!

Answers

Answer:

It is an isosceles  triangle.

Step-by-step explanation:

sum of angles of triangle = 180

since it is isosceles two angles will be same. let it be x.

x + x + 22 = 180

2x = 180 - 22

2x = 158

x = 79°

If f(x) = 2(3^x) + 1, what is the value of f(2)?
(1) 13
(3) 37
(2) 19
(4) 54

Answers

54 that’s the answer

Answer:

Given  

F ( x ) = 3 x 2 + 1 , to find  F ( − 2 ) , we have to just put

x = − 2  in the formula for  F ( x ) .

therefore , F ( − 2 ) = 3 ( − 2 ) 2 + 1 = 3 ( 4 ) + 1 = 13  .


A regular polygon has an interior angle of 171 degrees. Show your work. (3 points for work, 3 points
for correct answers)
a) How many sides does it have?
b) What is the sum of the interior angles?
c) What is the measure of one of its exterior angles?

Answers

Answer:

a) 40 sides

b) 6840

c) 9 gegrees

Step-by-step explanation:

interior angle= (n-2)180

n

[tex] (n - 2)180 \div n = 171 \\ 180n - 360 = 171n \\ 180n - 171n = 360 \\ 9n = 360 \\ n = 360 \div 9 = 40 \\ [/tex]

so total number of sides is 40

b) Sum of interior angles= (n-2)×180

(40-2)×180

38×180

6840

c) Exterior angle = 360 ÷ n

360÷40 =9 degree

*yawn*...............

Answers

Answer:

yawwwwwwnnn......,....done

The Langs family drove 225 miles to a beach. Most of their travel was on interstate highways. The Langs drive 65 miles per hour on the last 45 miles of their trip. On average, the Langs traveled 20 miles on one gallon of gas. The gas tank on the Langs' car holds 15 gallons of gas. The Langs had a full tank when their trip began. How many times did they stop to refill the tank before they reach the beach

Answers

Answer:

Step-by-step explanation:

I really need help you’ll get 35 points if u get it right

Answers

Answer:

1/3

Step-by-step explanation:

Combine the xs

Answer:

[tex]\frac{1}{3} x + \frac{1}{2}[/tex]

Step-by-step explanation:

The following expression is equivalent to

[tex]\frac{1}{3} x + \frac{1}{2}[/tex]

Which is true about ALL quadrilaterals? *
All angles are congruent.
All sides are congruent.
All angles add up to 360 degrees.
Diagonals are always congruent.

Answers

Answer:

all angles add up to 360 degrees

Step-by-step explanation:

Which angles are vertical angles?

Answers

Answer:

∠GFC and EFH

Hope this helps!

I need some help find the area of the shaded region and round to the nearest hundredth

Answers

Answer:

The area of the shaded region is 21.45cm².

Help!!!!!!!!!! I need it asap

Answers

Answer:

(-4,3)

Step-by-step explanation:

I used photo math

please answer thissssssssssssssssssssssss

Answers

Answer:

C

Step-by-step explanation:

SA= 2lw+2lh+2wh

Answer:b

Step-by-step explanation:

1 is subtracted from the division of a number and 9. The result is -2.​

Answers

Answer:

The number is - 9.

Step-by-step explanation:

(y ÷ 9) - 1 = - 2

(y ÷ 9) - 1 + 1 = - 2 + 1

y ÷ 9 = - 1

y ÷ 9 × 9 = - 1 × 9

y = - 9

Solve n/6=14/42 for the unknown quantity, n

Answers

Y = Mx+b hope this help

Step by step; thanks for the points

The diameter of a circle is 6 in. Find its area to the nearest tenth.

Answers

Answer and Step-by-step explanation:

The area formula for a Circle is:

A = [tex]\pi r^2[/tex]

Diameter is equal to the radius times 2.

So, divide the diameter to get the radius.

6 divided by 2 equals 3.

Now, plug it into the formula.

[tex]A = \pi (3)^{2}[/tex]

A = [tex]9\pi[/tex]

Plug this into your calculator by multiplying 9 by pi.

We get the answer to be 28.3 when rounded to the nearest tenth.

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