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alekssr [168]
3 years ago
12

Consider the points (3, 4) and (−3, 4). When the two points are compared, which statement is NOT TRUE? A) Both points are 3 unit

s away from the y-axis. B) One point is 3 units to the right of the y-axis. C) One point is 3 units to the left of the y-axis. D) The y-coordinates are opposite numbers.
Mathematics
1 answer:
Shalnov [3]3 years ago
5 0

Answer:

<h3>Option D) The y-coordinates are opposite numbers is correct</h3><h3>The above statement is not true when we comparing the given points (3, 4) and (−3, 4).</h3>

Step-by-step explanation:

Given points are (3, 4) and (−3, 4).

The point (3,4) is located 3 units to the right x axis(positive)  and upwards right to the y axis 4 units.

The point (-3,4) is located 3 units to the left x axis(negative) and upwards left to the y axis 4 units.

This shows that both points are 3 units away from the y-axis. This means their<u> y-coordinates are equal</u> not their x coordinates.

<h3>Hence the options A) ,B) and C) are all true with the given statement</h3><h3>Option D) The y-coordinates are opposite numbers is correct</h3><h3>The above statement is not true when we comparing the given points (3, 4) and (−3, 4).</h3>
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The difference of two numbers is 33. The sum of the first number and four times the second number is -2. What is the larger of t
defon

Answer:

The larger of the two is 44.67

Step-by-step explanation:

let the first number=x

let the second number=y

We can derive a system of equations using the mathematical statements

Their sum is 33:

x+y=33( call this equation 1)

Sum of first number and four times the second is -2:

x+4y=-2(call this equation 2)

Since the integer coefficients of x in both equations are the same we can quickly subtract one from the other to eliminate it

For this explanation, I choose to subtract equation 1 from 2

(x+4y=-2)-(x+y=33)=3y=-35

y=-35/3

Now plug in the value of y into any equation for that of x. Say we plug into equation 1

x+(-35/3)=33

x-35/3=33( multiply through by 3)

3x-35=99

3x=99+35

3x=134

x=134/3

Therefore,x=134/3 or 44.67 and y=-35/3 or -11.67

7 0
3 years ago
Given triangle ABC, A=105°, a=10cm, b=7cm, find B,C and c.
Whitepunk [10]

The value of the side c will be 5.56 cm and angle C is 32.49° and angle B is 42.51°.

<h3>What is law of cosine?</h3>

Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

a² + b² – 2ab cos C = c²

Given triangle ABC, A = 105°, a = 10 cm, b = 7 cm.

Then we have

7² + c² – (2 · 7 · c) cos 105° = 10²

c² + 3.62c – 51 = 0

On solving, we have

c = 5.56

Then the angle C will be

10² + 7² – 2 · 7 · 10 · cos C = 5.56²

                149 – 140 cos C = 30.91

                                 cos C = 0.8435

                                        C = 32.49°

We know that

       ∠A + ∠B + ∠C = 180°

105° + ∠B + 32.49° = 180°

                         ∠B = 42.51°

Learn more about law of cosines here:

brainly.com/question/17289163

#SPJ1

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