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3 years ago

-3x - 4y = 4 -5.2 +y = 2 Is (2, 10) a solution of the system?

Mathematics

1 answer:

Dmitrij [34]3 years ago

6 0

Answer:

Step-by-step explanation:

when checking to see if a point satisfies a system of equations

plug in x and y values from your point into the system

(2, 10)

x y

-3(2) - 4(10) = 4. and. -5.2 + 10 = 2

-6-40 = 4. 4.8. = 2

-46 = 4.

invalid statement. invalid statement

therefore the point (2, 10) does not satisfy this system of equations.

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Which line has a y-intercept of –2?

GREYUIT [131]

Answer:

line P

Step-by-step explanation:

The y- intercept is the point on the y- axis where the line crosses.

The only line crossing the y- axis at - 2 is line P

4 0

3 years ago

A semicircle is drawn onto one of the shorter sides of a rectangle. The shorter side of the rectangle measures 4 centimeters. Th

velikii [3]

<h3>Answer:</h3>

8.78 cm

<h3>Solution:</h3>

We are given that :

A semicircle is drawn onto the shorter side of rectangle.
Shorter side of rectangle measures 4cm. i.e; the diameter of the circle is 4cm
Area of the figure is 41.4 cm²

Using Formulas:

Area of rectangle:

$\quad\hookrightarrow\quad{\pmb{ \mathfrak {length\times breadth }}}$

Area of semicircle:

$\quad\hookrightarrow\quad{\pmb{ \mathfrak{ \dfrac{\pi r^2 }{2}}}}$

We have to find the length of longer side of rectangle!

Here, we can know that the figure is composed of one rectangle and one semicircle. Therefore by combining the areas of rectangle and circle and taking the length of rectangle as a variable , we will finds its value ;

$\quad\dashrightarrow\quad \sf {Area_{\tiny { total}} = Area_{\tiny {rectangle}}+ Area_{\tiny {semicircle}}}$

$\quad\dashrightarrow\quad \sf {A = ( l \times b ) + \dfrac{\pi r^2 }{2} }$

$\quad\dashrightarrow\quad \sf {41.4 = ( l \times 4 ) +\dfrac{3.14\times 2^2}{2} }$

$\quad\dashrightarrow\quad \sf { 41.4= ( l \times 4 )+ \dfrac{ 3.14\times 4}{2}}$

$\quad\dashrightarrow\quad \sf { 41.4=( l \times 4 )+ \dfrac{12.56}{2}}$

$\quad\dashrightarrow\quad \sf { 41.4= (l \times 4 )+ 6.28}$

$\quad\dashrightarrow\quad \sf {l \times 4 = 41.4-6.28 }$

$\quad\dashrightarrow\quad \sf { l\times 4 = 35.12}$

$\quad\dashrightarrow\quad \sf { l =\dfrac{35.12}{4}}$

$\quad\dashrightarrow\quad \underline{\underline{\pmb{\sf {l = 8.78\:cm}}} }$

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2 years ago

Need help on 22,23 and 24 DUE TOMORROW HELP!!!

jeka94

I worked this out based on what I know hope it’s the right answer to

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3 years ago

Mrs. Hawk assigns her students an average of no more than 5 questions on each assignment. On their first 5 assignments Mrs. Hawk

bixtya [17]

Given that Mrs. Hawk assigns her students an average of no more than 15 questions on each assignment. On their first 5 assignments Mrs. Hawk’s students had 11, 10, 13, 14, and 14 questions.

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5 0

4 years ago

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Answer:

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3 years ago