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irina [24]
3 years ago
7

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

Mathematics
2 answers:
il63 [147K]3 years ago
6 0

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

:)

denpristay [2]3 years ago
3 0

Answer:

\huge\boxed{m=-1}

Step-by-step explanation:

We have

y=mx+4\\\\(-3,\ 7)

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

(-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

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-(-5 -6x( = 4(5x + 3)
rjkz [21]

Answer: The answer to this question is x=-1/2

Step-by-step explanation: Multiply the left hand side by - and the right hand side by 4 in order to remove the brackets. After removing the brackets we get: 5+6x=20x+12.

Then we add the like terms.

5-12=20x-6×

-7=14x

x=-1/2

3 0
3 years ago
Find the area of a square whose diagonal length is 32 CM​
BigorU [14]

Answer:

512cm^2

Step-by-step explanation:

Let's imagine cutting the square down that diagonal. Now, we have two isosceles right triangles with a hypotenuse with length 32cm. Let's take one of those triangles for now and focus on it. Let's give the one of the legs of a triangle some length x. Since both legs are the same length, by the Pythagorean theorem:

x^2+x^2=32^2\\\\2x^2=1024\\\\x^2=512\\\\x=\sqrt{512}

Since this leg makes up one side of the square, we can use it to calculate the area of the square, which is just the side length squared:

A=(\sqrt{512})^2 = 512

7 0
3 years ago
In a class 22 of students, 14 have a brother and 9 have a sister. There are 2 students who do not have any siblings. What is the
djyliett [7]
I believe this is the way to solve it.
 22 - 2 = 20
 20 is 90.9% of 22
So the probability of choosing a student with a sibling at random should be 90.9% (or you can round up to 91%)

I hope this helps :)
5 0
4 years ago
Help me answer question 49
Feliz [49]
I think the answer is D but im not sure
4 0
4 years ago
Read 2 more answers
Write the given expression as the cosine of an angle: cos60cos105 - sin60sin105?
Ahat [919]
We know that

<span>The cosine of the sum of two angles </span><span>is defined by the following trigonometric identity

</span>cos(A + B) = cos A cos B − sin A sin <span>B
A=60</span>°
B=105°
cos A=cos 60
cos B=cos 105
sin A=sin 60
sin B=sin 105

then
cos(60 + 105) = cos 60 cos 105 − sin 60 sin 105
cos(165) = cos 60 cos 105 − sin 60 sin 105

the answer is
cos (105°)


6 0
3 years ago
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