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3 years ago

Please help asap! thanks

Mathematics

1 answer:

faltersainse [42]3 years ago

4 0

Answer:

Option B

Step-by-step explanation:

By applying Pythagoras theorem in the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

Now substitute the measures of each side in the formula,

(13)² = x² + (12)²

169 = x² + 144

x² = 169 - 144

x² = 25

x = √25

x = 5

Therefore, Option B will be the correct option.

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Two friends shop for fresh fruit. Elena buys a watermelon for $7.45 and 3 pounds ofcherries. Taniy buys a pineapple for $3.35 an

Scrat [10]

Let's use the variable E to represent the total value spent by Elena and T to represent the total value spent by Taniy.

If Elena spent $7.45 plus the cost of 3 pounds of cherries, the expression for the amount she spent is:

$E=7.45+3p$

Taniy spent $3.35 plus the cost of 2 pounds of cherries, so the expression for the amount the spent is:

$T=3.35+2p$

To find how much more Elena spent, let's subtract both expressions:

$\begin{gathered} E-T\\ \\ =7.45+3p-(3.35+2p)\\ \\ =7.45+3p-3.35-2p\\ \\ =4.1+p \end{gathered}$

Therefore the answer is 4.1 + p.

3 0

1 year ago

Write an equation of the line that passes through the given point and is parallel to the given line.

saveliy_v [14]

the equation of line passing through given point parallel to y = -2x+7 is: $y = -2x+9$

Step-by-step explanation:

Given equation of line is:

$y = -2x+7$

As the given line is in slope intercept form, the coefficient of x is the slope

Let m1 be the slope of given line

$m_1 = -2$

Let m2 be the slope of second line then

$m_2= -2$

The equation of line is given by:

$y= m_2x+b$

Putting the value of slope

$y = -2x+b$

Putting the point (4,1) in the equation

$y = -2x+b\\1 = -2(4)+b\\1= -8+b\\b = 1+8\\b = 9$

Putting the value of b in the equation

$y = -2x+9$

Hence,

the equation of line passing through given point parallel to y = -2x+7 is: $y = -2x+9$

Keywords: Slope, intercepts

Learn more about slope at:

#LearnwithBrainly

3 0

3 years ago

URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!

Morgarella [4.7K]

-2/5
Step by Step :
18 - 8 = 10
-15 - 10 = -25
10/-25 = -2/5

8 0

3 years ago

Last question need to be answered

shepuryov [24]

The answer would be 110 degrees.

4 0

3 years ago

Read 2 more answers

Plzzz help me with this I’ll give brainliest

scoray [572]

Answer18:

The quadrilateral ABCD is not a parallelogram

Answer19:

The quadrilateral ABCD is a parallelogram

Step-by-step explanation:

For question 18:

Given that vertices of a quadrilateral are A(-4,-1), B(-4,6), C(2,6) and D(2,-4)

The slope of a line is given m= $\frac{Y2-Y1}{X2-X1}$

Now,

The slope of a line AB:

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{6-(-1)}{(-4)-(-4)}$

m= $\frac{7}{0}$

The slope is 90 degree

The slope of a line BC:

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{6-6}{(-4)-(-1)}$

m= $\frac{0}{(-3)}$

The slope is zero degree

The slope of a line CD:

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{(-4)-6}{2-2}$

m= $\frac{-10}{0}$

The slope is 90 degree

The slope of a line DA:

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{(-1)-(-4)}{(-4)-(2)}$

m= $\frac{3}{-6}$

m= $\frac{-1}{2}$

The slope of the only line AB and CD are the same.

Thus, The quadrilateral ABCD is not a parallelogram

For question 19:

Given that vertices of a quadrilateral are A(-2,3), B(3,2), C(2,-1) and D(-3,0)

The slope of a line is given m= $\frac{Y2-Y1}{X2-X1}$

Now,

The slope of a line AB:

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{2-3}{3-(-2)}$

m= $\frac{-1}{5}$

The slope of a line BC:

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{(-1)-2}{2-3}$

m= $\frac{-3}{-1}$

m=3

The slope of a line CD:

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{0-(-1)}{(-3)-2}$

m= $\frac{-1}{5}$

The slope of a line DA:

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{3-0}{(-2)-(-3)}$

m=3

The slope of the line AB and CD are the same

The slope of the line BC and DA are the same

Thus, The quadrilateral ABCD is a parallelogram

3 0

3 years ago