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Svetlanka [38]
3 years ago
13

Drag a statement or reason to each box to complete this proof. If 3x−4=14, then x=6.

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
4 0

Answer:

Step-by-step explanation:

3x-4=14                       x=6

3x=18

x=18

x=6

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Y = x² + 6x + 3
olganol [36]

Vertex<em> </em>is at \left(-3,-6\right)

<em>y-intercept</em> is 3.

The parabola <em>opens up</em>.

Step-by-step explanation:

The graph of the equation is hereby attached in the answer area.

Vertex is the point on the parabola where the graph crosses its axis of symmetry. The axis of symmetry here(x =-3), is shown with the dotted line in the graph attached.

<em>y-intercept </em>is defined as the value of y where the graph crosses the y-axis. In other words, when x=0. Putting

And, the graph opens up as shown the graph figure as well. It is also evident from the co-efficient of x in the given equation y =x^{2} + 6x + 3. Here, co-efficient of

So, vertex<em> </em>is at \left(-3,-6\right)

<em>y-intercept</em> is 3.

The parabola <em>opens up</em>.

7 0
2 years ago
tynya is training a turtle for a turtle race for every 2/3 of an hour that the turtle is crawling he can travel 2/23 of a mile a
Len [333]

Answer:

3/23 miles per hour

Step-by-step explanation:

2 /23 mile

-----------------

2/3 hour

2/ 23 ÷ 2/3

Copy dot flip

2 /23 * 3/2

Rewriting

2/2 * 3/23

3/23 miles per hour

7 0
2 years ago
Read 2 more answers
Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC . FIRST CORRECT ANSWER GETS POINTS AND BRAINLIEST!!!! T
Ad libitum [116K]

Answer:

Given : In △ABC, m∠A=60°, m∠C=45°,and AB=8 unit

Firstly, find the angles B

Sum of measures of the three angles of any triangle equal to the straight angle, and also expressed as 180 degree

∴m∠A+ m∠B+m∠C=180                      ......[1]

Substitute the values of m∠A=60° and m∠C=45° in [1]

60^{\circ}+ m\angle B+45^{\circ}=180^{\circ}

105^{\circ}+ m\angle B=180^{\circ}

Simplify:

m\angle B=75^{\circ}

Now, find the sides of BC

For this, we can use law of sines,

Law of sine rule is an equation relating the lengths of the sides of a triangle  to the sines of its angles.

\frac{\sin A}{BC} = \frac{\sin C}{AB}

Substitute the values of ∠A=60°, ∠C=45°,and AB=8 unit to find BC.

\frac{\sin 60^{\circ}}{BC} =\frac{\sin 45^{\circ}}{8}

then,

BC = 8 \cdot \frac{\sin 60^{\circ}}{\sin 45^{\circ}}

BC=8 \cdot \frac{0.866025405}{0.707106781} =9.798 unit

Similarly for  AC:

\frac{\sin B}{AC} = \frac{\sin C}{AB}

Substitute the values of ∠B=75°, ∠C=45°,and AB=8 unit to find AC.

\frac{\sin 75^{\circ}}{AC} =\frac{\sin 45^{\circ}}{8}

then,

AC = 8 \cdot \frac{\sin 75^{\circ}}{\sin 45^{\circ}}

AC=8 \cdot \frac{0.96592582628}{0.707106781} =10.9283 unit

To find the perimeter of triangle ABC;

Perimeter = Sum of the sides of a triangle

i,e

Perimeter of △ABC = AB+BC+AC = 8 +9.798+10.9283 = 28.726 unit.

To find the area(A) of triangle ABC ;

Use the formula:

A = \frac{1}{2} \times AB \times AC \times \sin A

Substitute the values in above formula to get area;

A=\frac{1}{2} \times 8 \times 10.9283 \times \sin 60^{\circ}

A = 4 \times 10.9283 \times 0.86602540378

Simplify:

Area of triangle ABC = 37.856 (approx) square unit





4 0
3 years ago
Help me find x. I will mark the best explination the brainliest. Just PLEASE I need help.
Hatshy [7]

x makes a linear pair with 120 degrees, so is supplementary:

Answer: 60 degrees

3 0
2 years ago
Solve 16(3x-5) -10(4x-8) = 40
Mashcka [7]

Answer:

x = 5

Step-by-step explanation:

<u>Step 1: Multiply out the brackets</u>

48x - 80 - 40x + 80 = 40 → <em>negative + negative = positive [-10 x -8]</em>

<u>Step 2: Simplify</u>                          

8x = 40 →<em> collect like terms</em>

<u>Step 3: Solve</u>

x = \frac{40}{8}

x = 5

3 0
3 years ago
Read 2 more answers
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