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GalinKa [24]
2 years ago
8

Solve the inequality 4x-7<5​

Mathematics
1 answer:
aev [14]2 years ago
8 0

Answer:

4x-7 < 5

4x-7+7 < 5+7

4x/4 < 12/4

x < 3

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Please need help on this
artcher [175]

Answer:

the center is (-4,7) and the radius is 3

Step-by-step explanation:

The center of a circle can be found using the equation (x-h)^2 + (y-k)^2 = r^2 and is (h,k) from it. Notice h and k are the opposite value as in the equation.  

First write the equation in this form.  

x^2 + 8x + ( ?)+ y^2 - 14y + (?) + 56 = 0  

Complete the square with each variable to find what numbers should go in place of the question marks.  

(8/2)^2 = 4^2 = 16  

(-14/2)^2 = -7^2 = 49  

Add 16 and 49 to both sides of the equation.  

x^2 + 8x + 16 + y^2 - 14y + 49 + 56 = 16 + 49\\(x+4)^2 + (y-7)^2 + 56 = 65\\(x+4)^2 + (y-7)^2 = 9  

So the center is (-4,7) and the radius is 3.

5 0
3 years ago
I need help, please?
Drupady [299]

x is timed by .5 in the first one (A) which would make it the linear function.

6 0
3 years ago
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The diagonals of a parallelogram bisect each other.
Montano1993 [528]
each diagonal cuts the other into two equal parts.
7 0
2 years ago
6 - 2x = 5x - 9x + 8
attashe74 [19]

Answer:

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Step-by-step explanation:

6 0
3 years ago
A triangle has an area of 48 square centimeters. The height of the triangle is 6 centimeters. What is the base of the triangle?
andrew11 [14]

Question :-

  • A Triangle has an Area of 48 cm² . The Height of the Triangle is 6 cm . What is the Base of the Triangle ?

Answer :-

  • Base of Triangle is 16 cm .

Explanation :-

As per the provided information in the given question, we have been given that the Area of Triangle is 48 cm² . It's Height is given as 6 cm . And, we have been asked to calculate the Base of Triangle .

For calculating the Base of Triangle , we will use the Formula :-

\bigstar \:  \:  \:  \boxed{ \sf{ \: Area \: _{Triangle} \:  =  \:  \frac{1}{2} \:  \times  \: B \:  \times  \: H \:  }}

Where ,

  • B denotes to the Base .
  • H denotes to the Height .

Therefore , by Substituting the given values in the above Formula :-

\dag \: \: \: \sf { Area \: _{Triangle} \:  =  \:  \dfrac{1}{2} \:  \times  \: Base \:  \times  \: Height }

\longmapsto \: \: \: \sf {48 \: = \: \dfrac {1}{2} \: \times \: Base \: \times \: 6 }

\longmapsto \: \: \: \sf {48 \: \times \: 2 \: = \: 1 \: \times \: Base \: \times \: 6}

\longmapsto \: \: \: \sf {96 \: = \: 1 \: \times \: Base \: \times \: 6}

\longmapsto \: \: \: \sf {96 \: = \: 6 \: \times \: Base }

\longmapsto \: \: \: \sf {Base \: = \: \dfrac {96}{6} }

\longmapsto \: \: \: \textbf {\textsf {Base \: = \: 16 \: cm}}

Hence :-

  • Base of Triangle = 16 cm .

\underline {\rule {180pt} {4pt}}

6 0
1 year ago
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