Calculate the area of this triangle

Answer:

Original: -4x - 10y = -7

10y = 4x - 7

5y = 2x - 7

Answer: y = 2/5x - 7

Answer:

The slope intercept is below.

Step-by-step explanation:

y= -[tex]\frac{2}{5}[/tex]x + [tex]\frac{7}{10}[/tex]

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Answer:

  663.94

Step-by-step explanation:

For a quadratic equation, we start out seeking 2 solutions.

According to the statement

We have to find about the quadratic equation.

So, For this purpose, we know that the

Quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power

From the given information:

when we solve a quadratic equation, how many solutions should we always start out seeking.

Then

Here, we are required to search out out what number solutions to start out out seeking while solving a equation and also the condition for a quadratic graph not having zeros ( no x-intercepts).

Therefore, where X³ occurs in an equation, it's cubic and consequently has 3 solutions.

And, a quadratic can haven't any zeros ( no x intercepts) if the roots of the equation are complex numbers.

A quadratic is one which has the very best degree of its variable ( usually x) to be 2.

Consequently, after we solve a quadratic, one should start out seeking two (2) solutions.

This is so because, the quantity of solutions to begin out seeking corresponds with the very best power of the experimental variable, X.

Therefore, where X³ occurs in an equation, it's cubic and consequently has 3 solutions.

Therefore, where X¹ occurs in an equation, it's linear and consequently has 1 solution.

And, where X² occurs in an equation, it's quadratic and consequently has 2 solutions.

It is possible to possess a quadratic with no zeros (i.e no x-intercepts).

So, For a quadratic equation, we start out seeking 2 solutions.

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Answer:

Martin climbs at a rate of 20 meters per hour

Step-by-step explanation:

Martin and Alexia are rock climbing. Each person's rate stays the same for the first hour they climb.

For Martin's,

Distance = [tex]3\dfrac{1}{3}\ m=\dfrac{10}{3}\ m[/tex] in 1/6 hour

Rate is given by :

[tex]R=\dfrac{\frac{10}{3}}{\frac{1}{6}}\ m/h\\\\=\dfrac{10}{3}\times 6\\\\=20\ \text{meters/hour}[/tex]

For Alexia,

Distance = [tex]17\dfrac{1}{2}\ m=\dfrac{35}{2}\ m[/tex] in 5/6 hour

Rate is given by :

[tex]R=\dfrac{\frac{35}{2}}{\frac{5}{6}}\ m/h\\\\=\dfrac{35}{2}\times \dfrac{6}{5}\\\\=21\ \text{meters/hour}[/tex]

Hence, the correct option is (A) "Martin climbs at a rate of 20 meters per hour"

Answer:

The answers are A, D, and E

Step-by-step explanation:

Hope this helps have a blessed day

Answer:

i would say A

Step-by-step explanation:

Answer: x = (y - b)/m

Step-by-step explanation:

y = mx + b

y - b = mx + b - b

y - b = mx

(y - b)/m = mx/m

x = (y - b)/m

Answer:

You can say in step 3 that the triangles are congruent by SAS.

Answer:

13 * r

Step-by-step explanation:

If each member sells the same number of raffle tickets, then 13r would show that each of the 13 members will have sold r raffle tickets each. The expression is multiplication.

Answer:

c.

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

she can buy 5

Step-by-step explanation:

Answer:

left

Step-by-step explanation:

Answer:

c. the graph moves left 18 units

Step-by-step explanation:

edge 2021

(:

Answer:

sorry I don't understand it

Answer:

really??

Step-by-step explanation:

Answer:

i think its 12.25

Step-by-step explanation:

when i did it i got 49/4 an as a whole number it is 12 so uhhh

Answer:

12.25

Step-by-step explanation:

[tex] {3.5}^{7 - 6} }^{2} [/tex]

3.5^2

12.25

Answer:

Rearranging the expression [tex]x=\frac{2w+1}{5-3w}[/tex] to make w the subject we get [tex]\mathbf{w=\frac{1-5x}{-3x-2} }[/tex]

Step-by-step explanation:

We need to rearrange the expression [tex]x=\frac{2w+1}{5-3w}[/tex] to make w the subject.

[tex]x=\frac{2w+1}{5-3w}\\x(5-3w)=2w+1\\5x-3wx=2w+1\\[/tex]

Subtract 2w on both sides

[tex]5x-3wx-2w=2w+1=2w\\5x-3wx-2w=1\\[/tex]

Subtract 5x on both sides

[tex]5x-3wx-2w-5x=1-5x\\-3wx-2w=1-5x\\[/tex]

Taking w common on left hand side

[tex]w(-3x-2)=1-5x\\[/tex]

Divide both sides by -3x-2

[tex]\frac{w(-3x-2)}{-3x-2} =\frac{1-5x}{-3x-2}\\w=\frac{1-5x}{-3x-2}[/tex]

So, rearranging the expression [tex]x=\frac{2w+1}{5-3w}[/tex] to make w the subject we get [tex]\mathbf{w=\frac{1-5x}{-3x-2} }[/tex]

Answer:

1 divided by 8 = . 125.

Step-by-step explanation:

Answer:

1.8 per pound

Step-by-step explanation:

Answer:

each crate has 1,092

9514 1404 393

Answer:

Step-by-step explanation:

The drawing is a bit unfortunate, as it does not show the angles true to size.

__

When the altitude (EG) of a triangle (∆DFG) is also a median, then that triangle is isosceles. Both halves are congruent right triangles.

  ∆GED ≅ ∆GEF

Since these are right triangles, the acute angle not given (∠EGF) is the complement of the one that is given.

  m∠EGF = 90° -m∠F = 90° -40°

  m∠EGF = 40°

__

Of course, angle D in ∆GED is identical to its counterpart in ∆GEF, angle F, so ...

  m∠D = 40°

__

Because the lines are parallel, angle ABE corresponds (and is congruent) to angle DEG, which is marked as a right angle.

  m∠ABE = 90°

The speed of the car was 33.5 miles per hour on the road on the basis of the skid mark it leaves behind on the road.

Given that, when a driver applies the brakes, then the tires lock but the car continue to slide, and leaves a skid mark on the road. By using the length of the skid mark we can approximate the speed of the car by which it was travelling on the road. The formula which we will be using to approximate the speed = √30 × Length of the skid mark × 0.75, where the speed is measured in miles per hour and the length is measured in feet.

Length of the skid mark on the road = 50 feet

speed of the car = √30 × Length of the skid mark × 0.75

simply put the value of length of the skid mark in the above formula and solve accordingly.

=√30 × 50 × 0.75

=√1125

=33.5

∴ The speed of the car was 33.5 miles per hour when it was on the road and leave behind a 50 feet skid mark on the road.

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Answer:

Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90°.  The length of the longest side of the triangle is not known.

How many different triangles can be drawn with these dimensions? Explain your reasoning.

Step-by-step explanation:your weclome

The number of triangles that can be drawn with these dimensions will be one.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one point of 90° The length of the longest side of the triangle isn't known.

The longest side of the triangle is given as,

H² = P² + B²

H² = 12² + 5²

H² = 144 + 25

H² = 169

H = 13 cm

If the three dimensions of the triangle are known, then the number of possible triangles is only one.

The number of triangles that can be drawn with these dimensions will be one.

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Answer:

3/2

Step-by-step explanation:

Use the slope formula:

m = (y2-y1)/(x2-x1)

m = (5-(-4))/(2-(-4))

m = 9/6

m = 3/2

To find the answer to this question, all we need to do is use the slope formula!

Slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

(-4, -4) is [tex]x_{1} y_{1}[/tex]

and

(2,5) is [tex]x_{2} y_{2}[/tex]

Now lets plug in the points

[tex]\frac{5- (-4)}{2- (-4)}[/tex]

solve this simple subtraction problem!

5 - (-4) = 9

2 - (-4) = 6

Now we have : [tex]\frac{9}{6}[/tex]

Let's simplify since 9 and 6 both have a common factor of 3

Your final answer is...

The slope of the line passing through the points is [tex]\frac{3}{2}[/tex] !!

I hope I helped !

Answer:

15 blue marbles

Step-by-step explanation:

Given that:

A bag contains 6 red marbles.

The Ratio of red to  blue marbles is 2:5

Thus, the ratio of red marbles for 6 red marbles in a bag will be = 6/2 = 3

Now; the ratio of blue marbles in a bag containing 6 red marbles = 3 × 5 = 15 blue marbles

OR

Mathematically;

[tex]\dfrac{2}{5} \times \dfrac{x}{x} = \dfrac{6}{blue}[/tex]

So, we are looking for the same number we can multiply for both the numerator and the denominator that can give us the value of 6 in the above numerator to determine the value of the denominator. If we use 3 since 2× 3 = 6

We have:

[tex]\dfrac{2}{5} \times \dfrac{3}{3} = \dfrac{6}{blue}[/tex]

[tex]\dfrac{2}{5} \times \dfrac{3}{3} = \dfrac{6}{15}[/tex]

So, there are 15 blue marbles in the bag.

The factor of the given equation; -2x⁴-34x³-140 is (x³ + 10)(x + 7).

Factorization is the process of dividing a large number into smaller numbers that, when multiplied together, yield the original number.

Now, as per the stated question;

Quartic Equation: The general quartic equation has an analogous formula: ax⁴ + bx³ + cx² + dx + e = 0. This really refers to four different formulas, each of which yields one root of a equation.

The given quartic equation is -2x⁴-34x³-140.

Divide the complete equation by -2.

= x⁴ + 17x³ + 70

Find the factors of 0 such that on addition it given 17.

=  x⁴ + 10x³ + 7x³ + 70

Taking x common

= x(x³ + 10) + 7(x³ + 10)

Taking (x³ + 10) common,

= (x³ + 10)(x + 7)

Therefore, the factors of the given quartic equation is found as: (x³ + 10)(x + 7).

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Answer: A C and D

Step-by-step explanation:

8:5 = 160%

16:10 = 160%

50:80 = 62.5%

48:30 = 160%

32:20 = 160%

64:35 = 185%

Glad to help!

The equation that can be used to represent these two elevations as solutions will be 29028 - (-1312).

From the information, highest natural point in the world is Mt. Everest with an elevation of 29,028 feet above sea level andd the lowest natural point in the world is the Dead Sea, which sits at 1,312 feet below sea level.

Therefore, the equation which depict the two elevations will be the difference between the elevations and this will be:

= 29028 - (-1312)

= 30340

The distance between them is 30340 feet.

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