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inn [45]
2 years ago
10

Which of the following are mathematical sentences? Check all that applu

Mathematics
1 answer:
irina1246 [14]2 years ago
5 0

Answer:

The correct options are:

A, B, and E.

Step-by-step explanation:

A mathematical sentence (or a mathematical statement) is a sentence that can be true or false.

This is the only criteria we need to check, now let's analyze each option.

A: 4 - d = 12

This can be true or false, for example, if d = 0 the sentence is false because:

4 - 0 = 12

4 = 12 is false.

and if d = -8 the sentence is true, because:

4 - (-8) = 12

4 + 8 = 12

12 = 12

is true.

B: 4 - V > 2

This sentence can be true or false, same reasoning as before, we can find values of V such that this is true or false.

C: 3 + 2

Now, here we can't say if this is true or false, so this is not a mathematical sentence.

D: 59

Same as before, this is just a number.

E: 6 + a = 13

This can be true or false, depending on the value of a, then this is a mathematical sentence.

F: 12*x

Here we can not say if this is true or false, so this is not a mathematical sentence.

The correct options are:

A, B, and E.

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Give all relationships between angle 1 and angle 2 select all that apply​
kolbaska11 [484]

Answer:

vertical maybe if try it and see

6 0
2 years ago
What is the standard form of the equation of a line for which the length of the normal segment to the origin is 8 and the normal
jeka57 [31]
Slope of line = tan(120) = -tan(60) = - √3
Distance from origin = 8

Let equation be Ax+By+C=0
then -A/B=-√3, or
B=A/√3.
Equation becomes
Ax+(A/√3)y+C=0

Knowing that line is 8 units from origin, apply distance formula
8=abs((Ax+(A/√3)y+C)/sqrt(A^2+(A/√3)^2))
Substitute coordinates of origin (x,y)=(0,0)  =>
8=abs(C/sqrt(A^2+A^2/3))
Let A=1 (or any other arbitrary finite value)
solve for positive solution of C
8=C/√(4/3) => C=8*2/√3 = (16/3)√3

Therefore one solution is
x+(1/√3)+(16/3)√3=0
or equivalently
√3 x + y + 16 = 0

Check:
slope = -1/√3  .....ok
distance from origin
= (√3 * 0 + 0 + 16)/(sqrt(√3)^2+1^2)
=16/2
=8  ok.

Similarly C=-16 will satisfy the given conditions.

Answer  The required equations are
√3 x + y = ± 16 
in standard form.

You can conveniently convert to point-slope form if you wish.




4 0
3 years ago
First question. The midpoint of SR is...
Blizzard [7]

The formula of a midpoint SR:

M\left(\dfrac{x_S+x_R}{2},\ \dfrac{y_S+y_R}{2}\right)

We have

S(4, 1) and M(7, -5)

Substitute:

\dfrac{4+x_R}{2}=7\qquad|\cdot2\\\\4+x_R=14\qquad|-4\\\\x_R=10\\\\\dfrac{1+y_R}{2}=-5\qquad|\cdot2\\\\1+y_R=-10\qquad|-1\\\\y_R=-11

<h3>Answer: R(10, -11)</h3>
6 0
3 years ago
hank has a triangular rug in his bedroom. the perimeter of the rug is 14 feet . two of the side lengths are 6 feet . what is the
Mariana [72]

Answer:

The 3rd side of the rug is 2 ft long

Step-by-step explanation:

6+6=12

14-12=2

2 ft long

4 0
3 years ago
Carol is making a pattern with toothpicks. The first five terms of Carol's pattern are shown.
stellarik [79]

Answer:

B

Step-by-step explanation:

Let's make a table:

Term 1:     3 toothpicks

Term 2:     4 toothpicks

Term 3:     5 toothpicks

Term 4:     6 toothpicks

Term 5:     7 toothpicks

Term N = N + 2 toothpicks

6 0
3 years ago
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