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MAVERICK [17]
3 years ago
7

What is the answer 4x+3=-5

Mathematics
2 answers:
Alexandra [31]3 years ago
7 0
The answer would be...
x=-2
weqwewe [10]3 years ago
5 0

Answer: x=-2

Step-by-step explanation:

What we are doing is isolating the variable

4x+3=-5

4x-3=-3 subtract 3 from five

4x=-8 divide to solve x

x=-2

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4. Gloria the grasshopper is working on her hops.
aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola  that describes the path of her jump is \mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}

The given parameters are:

\mathbf{Height = 20}

\mathbf{Length = 28}

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

\mathbf{Mid = \frac 12 \times Length}

\mathbf{Mid = \frac 12 \times 28}

\mathbf{Mid = 14}

So, the vertex of the parabola is:

\mathbf{Vertex = (Mid,Height)}

Express properly as:

\mathbf{(h,k) = (14,20)}

A point on the graph would be:

\mathbf{(x,y) = (28,0)}

The equation of a parabola is calculated using:

\mathbf{y = a(x - h)^2 + k}

Substitute \mathbf{(h,k) = (14,20)} in \mathbf{y = a(x - h)^2 + k}

\mathbf{y = a(x - 14)^2 + 20}

Substitute \mathbf{(x,y) = (28,0)} in \mathbf{y = a(x - 14)^2 + 20}

\mathbf{0 = a(28 - 14)^2 + 20}

\mathbf{0 = a(14)^2 + 20}

Collect like terms

\mathbf{a(14)^2 =- 20}

Solve for a

\mathbf{a =- \frac{20}{14^2}}

\mathbf{a =- \frac{20}{196}}

Simplify

\mathbf{a =- \frac{5}{49}}

Substitute \mathbf{a =- \frac{5}{49}} in \mathbf{y = a(x - 14)^2 + 20}

\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}

Hence, the equation of the parabola  that describes the path of her jump is \mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0
2 years ago
What is the area of this composite figure?
Mkey [24]

We have two congruent trapezoids.

The formula of an area of a trapezoid:

A=\dfrac{base_1+base_2}{2}\cdot\ height

We have:

base_1=210\ mm\\\\base_2=150\ mm\\\\height=55\ mm

Substitute:

A=\dfrac{210+150}{2}\cdot55=\dfrac{360}{2}\cdot55=180\cdot55=9,900\ mm^2

Answer:

2A=2\cdot9,900\ mm^2=19,800\ mm^2

6 0
3 years ago
What is the simplified form of the square root of 80?
djyliett [7]
\sqrt{80} =  \sqrt{2 * 2* 2* 2* 5}  =  \sqrt{2^{2}*2^{2}*5}  = 2*2* \sqrt{5} = 4 \sqrt{5}
Hope this helps.
3 0
3 years ago
5. The table below represents fees for a parkirls lot. Graph the
Vladimir [108]

Answer:

15$

Step-by-step explanation:

5 0
3 years ago
Which of the following points are solutions to the system of inequalities shown below?
pychu [463]
This is easy, love. It's E 
3 0
3 years ago
Read 2 more answers
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